Distribution

Problem 501

\begin{tabular}{|c|c|c|c|c|c|} \hlinexx & 9 & 10 & 11 & 12 & 13 \\ \hlineP(x)P(x) & 0.1 & 0.1 & 0.2 & 0.1 & 0.5 \\ \hline \end{tabular}
Given the discrete probability distribution above, determine the following: (a) P(x1P(x \geq 1 \geq or x<10)=x<10)= \qquad (b) P(x=9)=P(x=9)= \qquad (c) P(9x<11)=P(9 \leq x<11)= \qquad

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Problem 502

In a sample of 290 adults, 261 had children. Construct a 95%95 \% confidence interval for the true population proportion of adults with children. Give your answers as decimals, to three places <p<<p<

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Problem 503

Homework: Topic F. 5 Homework Question 2, 12.5.27 HW Score: 85.71%85.71 \%. 12 of 14 points Points: 0 of 1 Save
Question list Question 1 Question 2
Use the standard normal table to find the specified area To the right of z=1.08z=1.08 Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table.
The area to the right of z=1.08z=1.08 is \square \square.
Area under a normal curve to the left of zz (page 1 \begin{tabular}{|cccccccccc|c||} \hline \multicolumn{8}{|c|}{ Table of Areas to the Left of z\boldsymbol{z} When z\boldsymbol{z} Is Negative } \\ \hline z\boldsymbol{z} & .00 & .01 & .02 & .03 & .04 & .05 & .06 & .07 & .08\mathbf{. 0 8} & .09 \\ \hline-3.4 & .0003 & .0003 & .0003 & .0003 & .0003 & .0003 & .0003 & .0003 & .0003 & .0002 \\ -3.3 & .0005 & .0005 & .0005 & .0004 & .0004 & .0004 & .0004 & .0004 & .0004 & .0003 \\ -3.2 & .0007 & .0007 & .0006 & .0006 & .0006 & .0006 & .0006 & .0005 & .0005 & .0005 \\ -3.1 & .0010 & .0009 & .0009 & .0009 & .0008 & .0008 & .0008 & .0008 & .0007 & .0007 \\ -3.0 & .0013 & .0013 & .0013 & .0012 & .0012 & .0011 & .0011 & .0011 & .0010 & .0010 \\ -2.9 & .0019 & .0018 & .0018 & .0017 & .0016 & .0016 & .0015 & .0015 & .0014 & .0014 \\ -2.8 & .0026 & .0025 & .0024 & .0023 & .0023 & .0022 & .0021 & .0021 & .0020 & .0019 \\ -2.7 & .0035 & .0034 & .0033 & .0032 & .0031 & .0030 & .0029 & .0028 & .0027 & .0026 \\ -2.6 & .0047 & .0045 & .0044 & .0043 & .0041 & .0040 & .0039 & .0038 & .0037 & .0036 \\ -2.5 & .0062 & .0060 & .0059 & .0057 & .0055 & .0054 & .0052 & .0051 & .0049 & .0048 \\ -2.4 & .0082 & .0080 & .0078 & .0075 & .0073 & .0071 & .0069 & .0068 & .0066 & .0064 \\ \hline \end{tabular}
Area under a normal curve to the left of zz ( pp e
Table of Areas to the Left of zz When zz Is Positive \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|} \hline zz & . 00 & 01 & .02 & .03 & .04 & . 05 & . 16 & . 07 & . 08 \\ \hline 0.0 & 5000 & 5040 & 5080 & 5120 & 5160 & . 5199 & . 5239 & 5279 & 5319 \\ \hline 0.1 & . 5398 & . 5438 & 5478 & 5517 & . 5557 & 5596 & . 5636 & . 5675 & . 5714 \\ \hline 0.2 & .5793 & . 5832 & 5871 & 5910 & . 5948 & . 5987 & . 6026 & . 6064 & . 6103 \\ \hline 0.3 & 6179 & 6217 & . 6255 & 6293 & 6331 & . 6368 & . 6406 & . 6443 & . 6480 \\ \hline 0.4 & 6554 & . 6591 & . 6628 & 6664 & . 6700 & .6736 & . 6772 & .6808 & . 6844 \\ \hline 0.5 & 6915 & 6950 & 6985 & 7019 & . 7054 & . 7088 & 7123 & 7157 & .7190 \\ \hline 0.6 & . 7257 & . 7291 & 7324 & 7357 & 7389 & . 7422 & . 7454 & 7486 & . 7517 \\ \hline 0.7 & . 7580 & . 7611 & 7642 & 7673 & 7704 & 7734 & . 7764 & 7794 & 7823 \\ \hline 0.8 & 7881 & .7910 & 7939 & 7967 & 7995 & .8023 & 8051 & . 8078 & .8106 \\ \hline 0.9 & 8159 & .8186 & 8212 & 8238 & 8264 & 8289 & . 8315 & .8340 & 8365 \\ \hline 1.0 & . 8413 & .8438 & 8461 & 8485 & 8508 & 8531 & 8554 & . 8577 & .8599 \\ \hline 11 & skad & sans & 8686 & 8708 & 8729 & 8719 & 8770 & 8790 & 8810 \\ \hline \end{tabular}

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Problem 504

In the distributions shown, state the mean and standard deviation for each. Hint: The vertical lines are 1 standard deviation apart.
Part: 0 / 2
Part 1 of 2 (a)
Mean = \square Standard deviation == \square

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Problem 505

Find the probability that in tossing a fair coin 3 times, there will appear a head at least twice. (Note: write the probability as an integer or as a percentile without the %\% sign)

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Problem 506

SAT scores: Assume that in a given year the mean mathematics SAT score was 605 , and the standard deviation was 136. A sample of 76 scores is chosen. Use Excel.
Part: 0/50 / 5
Part 1 of 5 (a) What is the probability that the sample mean score is less than 589 ? Round the answer to at least four decimal places.
The probability that the sample mean score is less than 589 is \square

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Problem 507

I Karasjok ble det de sju siste dagene i 2022 målt følgende temperaturer kl 12 om formiddagen: 24.7C,8.4C,5.6C,8.1C,26.2C,6.7C,3.0C-24.7^{\circ} \mathrm{C},-8.4^{\circ} \mathrm{C},-5.6^{\circ} \mathrm{C},-8.1^{\circ} \mathrm{C},-26.2^{\circ} \mathrm{C},-6.7^{\circ} \mathrm{C},-3.0^{\circ} \mathrm{C}.
Gjennomsnittstemperaturen over de ti siste årene i Karasjok den siste uka i desember er 12.1C-12.1^{\circ} \mathrm{C}. Vi skal nå unders \varnothing ke om gjennomsnittstemperaturen siste uka i 2022 har vært signifikant forskjellig fra tidligere år. b: Sett opp en nullhypotese og en alternativ hypotese. Forklar hvorfor du har valgt de to hypotesene og hva slags hypotesetest du mener er riktig å benytte i dette tilfellet.

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Problem 508

37. A particular brand of dishwasher soap is sold in three sizes: 25oz,40oz25 \mathrm{oz}, 40 \mathrm{oz}, and 65 oz . Twenty percent of all purchasers select a 25 oz box, fifty percent select a 40 oz box, and the remaining thirty percent choose a 65 oz box. Let X1X_{1} and X2X_{2} denote the package sizes selected by two independently selected purchasers. a. Determine the sampling distribution of Xˉ\bar{X}, calculate E(Xˉ)E(\bar{X}), and compare to μ\mu. b. Determine the sampling distribution of the sample variance S2S^{2}, calculate E(S2)E\left(S^{2}\right), and compare to σ2\sigma^{2}.

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Problem 509

According to data from the city of Toronto, Ontario, Canada, there were more than 180,000 parking infractions in the city for December 2015, with fines totaling over 8,500,000 Canadian dollars. The fines (in Canadian dollars) for a random sample of 105 parking infractions in Toronto, Ontario, Canada, for December 2015 are listed below.\text{According to data from the city of Toronto, Ontario, Canada, there were more than 180,000 parking infractions in the city for December 2015, with fines totaling over 8,500,000 Canadian dollars. The fines (in Canadian dollars) for a random sample of 105 parking infractions in Toronto, Ontario, Canada, for December 2015 are listed below.}
30303030406040155015040303030403040303030404040306060301504030250403030303030304030403050154040304030403030403030301003040303030403030304010030403040304040404030303060304040304015603015150150404030301506030406030404030\begin{array}{rrrrrrr} 30 & 30 & 30 & 30 & 40 & 60 & 40 \\ 15 & 50 & 150 & 40 & 30 & 30 & 30 \\ 40 & 30 & 40 & 30 & 30 & 30 & 40 \\ 40 & 40 & 30 & 60 & 60 & 30 & 150 \\ 40 & 30 & 250 & 40 & 30 & 30 & 30 \\ 30 & 30 & 30 & 40 & 30 & 40 & 30 \\ 50 & 15 & 40 & 40 & 30 & 40 & 30 \\ 40 & 30 & 30 & 40 & 30 & 30 & 30 \\ 100 & 30 & 40 & 30 & 30 & 30 & 40 \\ 30 & 30 & 30 & 40 & 100 & 30 & 40 \\ 30 & 40 & 30 & 40 & 40 & 40 & 40 \\ 30 & 30 & 30 & 60 & 30 & 40 & 40 \\ 30 & 40 & 15 & 60 & 30 & 15 & 150 \\ 150 & 40 & 40 & 30 & 30 & 150 & 60 \\ 30 & 40 & 60 & 30 & 40 & 40 & 30 \end{array}
Parking Infractions by Time of Day\text{Parking Infractions by Time of Day} (Source: City of Toronto)\text{(Source: City of Toronto)}
The figures above show parking infractions in Toronto, Ontario, Canada, for December 2015 by time of day and by day.\text{The figures above show parking infractions in Toronto, Ontario, Canada, for December 2015 by time of day and by day.}
Hello! It looks like you’ve provided data on parking fines in Toronto for December 2015. However, I need more information to understand what specifically you need help with regarding this data. Could you please clarify the question or the problem you’re trying to solve? For example, are you looking for a statistical analysis, a calculation of averages, or something else? Once I have a bit more context, I’ll be happy to help!\text{Hello! It looks like you've provided data on parking fines in Toronto for December 2015. However, I need more information to understand what specifically you need help with regarding this data. Could you please clarify the question or the problem you're trying to solve? For example, are you looking for a statistical analysis, a calculation of averages, or something else? Once I have a bit more context, I'll be happy to help!}
Find the sample standard deviation, find the five number summary, make a frequency distribution, make a histogram\text{Find the sample standard deviation, find the five number summary, make a frequency distribution, make a histogram}

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Problem 510

The lengths of pregnancies in a small rural village is a normally distributed random variable X with a mean of 266 days and a standard deviation of 15 days.
What percentage of pregnancies last beyond 244 days? Enter answer as a decimal, round to 2 decimal places P(X>244 days )=P(X>244 \text { days })= \square Question Help: Video

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Problem 511

The driving distance was recorded for each Harper student in a sample of 30 . A 95%95 \% confidence interval for μ\mu is (12,24)(12,24) miles. a) The individual object in the study was a randomly selected \qquad This is computer-graded so use exact wording from the problem above. \square b) What was the variable information recorded for each object in the study?
This is computer-graded so use exact wording from the problem above. \square c) State the statistical interpretation of the confidence interval in the context of this problem. - Select an answer \qquad the \square driving distance of \square ? Harper students is/are between \square \square and \square \square d) What is the symbol and value of the point estimate for μ\mu ? \square ?0=? \quad 0= miles e) What is the margin of error for the given interval? \square miles f) Fill in the boxes below to show the relation on the number line between the numeric values of the point estimate and the interval estimate for μ\mu. A=B=C=A=\square B=\square C=\square

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Problem 512

QUESTION 15 - 1 POINT If the median of a data set is 16 and the mean is 10 , which of the following is most likely?
Select the correct answer below: The data are skewed to the left. The data are skewed to the right. The data are symmetrical.

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Problem 513

In a certain state, 35.7%35.7 \% of all community college students belong to ethnic minorities. Find the probabilities of the following results in a random sample of 12 of the community college students. a. Exactly 3 belong to an ethnic minority. b. Three or fewer belong to an ethnic minonity. c. Exactly 7 do not belong to an ethnic minority. d. Eight or more do not belong to an ethnic minority.

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Problem 514

You are conducting a hypothesis test at the 0.05 alpha level for the claim that a die is fair. In other words, all sides of the die are equally likely when rolled. The table below shows how the die landed after many rolls. \begin{tabular}{|l|l|} \hline \begin{tabular}{l} Category \\ How die \\ landed \end{tabular} & \begin{tabular}{l} Observed \\ Frequency \end{tabular} \\ \hline 1 & 9 \\ \hline 2 & 5 \\ \hline 3 & 6 \\ \hline 4 & 15 \\ \hline 5 & 22 \\ \hline 6 & 7 \\ \hline \end{tabular}
Report all answers accurate to two decimal places. What is the chi-square test-statistic for this data? χ2=20.36\chi^{2}=20.36

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Problem 515

Heart Rates For a certain group of individuals, the average heart rate is 71 beats per minute. Assume the variable is normally distributed and the standard deviation is 3 beats per minute. If a subject is selected at random, find the probability that the person has the following heart rate. Use
The Standard Normal Distribution Table. Round the final answers to at least four decimal places and intermediate zz-value calculations to two decimal places.
Part: 0/30 / 3
Part 1 of 3 (a) Between 67 and 73 beats per minute P(67<X<73)=P(67<X<73)= \square

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Problem 516

Question 7 0/10 / 1 pt 5 99 Details
You intend to conduct a test of independence for a contingency table with 6 categories in the column variable and 6 categories in the row variable. You collect data from 654 subjects.
What are the degrees of freedom for the χ2\chi^{2} distribution for this test? d.f. = \square Question Help: Written Example
Post to forum Submit Question

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Problem 517

According to the New York State Board of Law Examiners, approximately 63%63 \% of people taking the New York Bar Exam passed the exam.
1. If 20 people who have taken the New York Bar Exam are randomly selected, what is the probability that at least 76%76 \% have passed? Round your answer to 4 decimal places. \square
2. If 44 people who have taken the New York Bar Exam are randomly selected, what is the probability that at least 76%76 \% have passed? Round your answer to 4 decimal places. \square
3. Why did the probability decrease? The probability decreased since the sample size decreased resulting in a wider distribution which increased the area of the right tail. The probability decreased since the sample size increased resulting in a narrower distribution which reduced the area of the right tail.

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Problem 518

Question 3, 11.2.3-T Part 5 of 7 HW Score: 30.2%,2.4230.2 \%, 2.42 of 8 point Points: 0.53 of 1
Assume that the differences are normally distributed. Complete parts (a) through (d) below. \begin{tabular}{lcccccccc} Observation & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\ Xi\mathrm{X}_{\mathrm{i}} & 51.0 & 51.3 & 49.0 & 45.1 & 47.8 & 43.0 & 44.1 & 47.1 \\ Yi\mathrm{Y}_{\mathrm{i}} & 53.7 & 49.8 & 54.1 & 48.9 & 46.9 & 45.5 & 46.3 & 49.8 \end{tabular} (a) Determine di=XiYid_{i}=X_{i}-Y_{i} for each pair of data. \begin{tabular}{l|c|c|c|c|c|c|c} \hline Observation & 1 & 2 & 3 & 4 & 5 & 6 & 7 \\ \hline di\mathbf{d}_{\mathbf{i}} & -2.7 & 1.5 & -5.1 & -3.8 & 0.9 & -2.5 & -2.2 \\ \hline & -2.7 \\ \hline \end{tabular} (Type integers or decimals.) (b) Compute d\overline{\mathrm{d}} and sd\mathrm{s}_{\mathrm{d}}. d=2.075\overline{\mathrm{d}}=-2.075 (Round to three decimal places as needed.) sd=2.228s_{d}=2.228 (Round to three decimal places as needed.) (c) Test if μd<0\mu_{\mathrm{d}}<0 at the α=0.05\alpha=0.05 level of significance.
What are the correct null and alternative hypotheses? A. H0:μd=0H_{0}: \mu_{d}=0 B. H0:μd<0H_{0}: \mu_{d}<0 H1:μd<0H_{1}: \mu_{d}<0 H1:μd=0\mathrm{H}_{1}: \mu_{\mathrm{d}}=0 C. H0:μd>0H_{0}: \mu_{d}>0 D. H0:μd<0H_{0}: \mu_{d}<0 H1:μd<0H_{1}: \mu_{d}<0 H1:μd>0\mathrm{H}_{1}: \mu_{\mathrm{d}}>0
P -value == \square (Round to three decimal places as needed.)

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Problem 519

Use the following distribution to complete parts (a) through (d) below. 3,6,7,10,9 ㅁ 3,6,7,10,9 \text { ㅁ } a) Compute the mean and standard deviation of the distribution.
The mean is \square

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Problem 520

Use the following distribution to complete parts (a) through (d) below. 3,6,7,10,93,6,7,10,9 \square a) Compute the mean and standard deviation of the distribution.
The mean is 7 . The standard deviation is \square (Round to the nearest hundredth as needed.)

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Problem 521

Use the following distribution to complete parts (a) through (d) below. 3,6,7,10,93,6,7,10,9 a) Compute the mean and standard deviation of the distribution.
The mean is 7 . The standard deviation is 2.74 : (Round to the nearest hundredth as needed.) b) Multiply each number in the distribution by 3 and compute the mean and the standard deviation of this new distribution.
The mean is \square

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Problem 522

Thirty-nine percent of U.S. adults have very little confidence in newspapers. You randomly select eight U.S. adults. Find the probability that the number who have very little confidence in newspapers is (a) exactly six and (b) exactly two. (a) The probability that the number who have very little confidence in newspapers is exactly six is \square (Round to three decimal places as needed.)

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Problem 523

49%49 \% of U.S. adults have very little confidence in newspapers. You randomly select 10U.S10 \mathrm{U} . \mathrm{S}. adults. Find the probability that the number of U.S\mathrm{U} . \mathrm{S}. adults who have very little confiden in newspapers is (a) exactly five, (b) at least six, and (c) less than four. (a) P(5)=0.246P(5)=0.246 (Round to three decimal places as needed.) (b) P(x6)=P(x \geq 6)^{-}= \square (Round to three decimal places as needed.)

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Problem 524

Create a stem-and-leaf plot using the scores: 50, 57, 51, 69, 66, 94, 73, 77, 59, 64, 50, 57, 71, 85, 59, 72, 56, 85, 64, 53, 62, 83, 70, 73, 68, 95, 85, 60, 52. Describe the distribution shape.

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Problem 525

Count the cola preferences from the data: Shasta, Coke, and Pepsi. Create a frequency and relative frequency table.

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Problem 526

Create a stem-and-leaf plot for these scores: 55, 59, 69, 50, 76, 74, 62, 85, 69, 89, 69, 54, 51, 56, 95, 60, 55, 76, 77, 69, 80, 70, 53, 59, 57, 63, 63, 53, 73. Describe its shape.

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Problem 527

Given the frequency distribution, find the mean, median, and mode of the data set. Round to two decimal places.

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Problem 528

Approximate the mean for the given frequency distribution:
Class: 505450-54 (1), 555955-59 (3), 606460-64 (8), 656965-69 (14), 707470-74 (17), 757975-79 (15), 808480-84 (7), 858985-89 (4), 909490-94 (1).
Round to one decimal place.

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Problem 529

Find the lower class limits, upper class limits, class width, midpoints, boundaries, and total individuals for:
Age (yr) Frequency 20-29: 27, 30-39: 33, 40-49: 15, 50-59: 4, 60-69: 5, 70-79: 2, 80-89: 2.

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Problem 530

Find the lower class limits, upper class limits, class width, midpoints, boundaries, and total individuals for the data.

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Problem 531

Given a stem-and-leaf plot, find the mean, median, standard deviation, range, and data shape (right, left, symmetric).

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Problem 532

Calculate the sample standard deviation for the aptitude scores with frequencies: 0 (2), 1 (6), 2 (0), 3 (0), 4 (3), 5 (4).

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Problem 533

Calculate the sample standard deviation of the following musical aptitude scores: 0 (3), 1 (3), 2 (1), 3 (8), 4 (3), 5 (5).

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Problem 534

Is the frequency distribution normal based on the criteria? Choose A, B, or C based on the given temperature ranges and frequencies.

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Problem 535

In a group of 348 students, how many will have an IQ within 1 standard deviation (15) of the mean (100)?

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Problem 536

What percentage of a sample is above 3 standard deviations from the mean according to the empirical rule? a. 2.5 b. 0.5 c. 1 d. 2

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Problem 537

How many students have IQs > 100? Also, what % of a sample is within one standard deviation below the mean?

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Problem 538

In football, if 425 players are drafted, how many will have IQs within one standard deviation of the mean (100, σ=15\sigma = 15)?

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Problem 539

A sample of size 60 will be drawn from a population with mean 31 and standard deviation 6 . Use the TI-83 Plus/TI-84 Plus calculator.
Part: 0/20 / 2 \square
Part 1 of 2 (a) Find the probability that xˉ\bar{x} will be between 30 and 33. Round the answer to at least four decimal places.
The probability that xˉ\bar{x} will be between 30 and 33 is 0.8968 . \square \square
Part: 1/21 / 2 \square
Part 2 of 2 (b) Find the 75th 75^{\text {th }} percentile of xˉ\bar{x}. Round the answer to at least two decimal places.
The 75th 75^{\text {th }} percentile is \square. \square

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Problem 540

A fashion company releases a new line of prom dresses that are all under $100\$ 100. They claim this is a bargain because the average cost of a prom dress is over $300\$ 300. A customer decide to test this, and takes a random sample of 25 dresses. She finds the mean is $250\$ 250 with a standard deviation of $10\$ 10. Assume the population is normally distributed and use α=0.0\alpha=0.0 to test the claim.
Which distribution should be used to test the claim? Z-test for the Mean T-test for the Mean p-distribution c-distribution

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Problem 541

Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.
The area of the shaded region is \square (Round to four decimal places as needed.)

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Problem 542

Part 5 of 5 Points: 0.2 of 1 Save
In a study published in a journal, occupational accidents at three construction sites in a country were monitored. The total numbers of accidents at the three randomly selected sites were 51,104 , and 37 . Summary statistics for these three sites are: xˉ=64\bar{x}=64 and s=35.3s=35.3. Suppose an occupational safety inspector claims that the average number of occupational accidents at all of the country's construction sites is less than 70. a. Give the appropnate conciusion tor the test: unoose the correct answer Delow. A. Reject H0\mathrm{H}_{0}. There is sufficient evidence to indicate that the average number of occupational accidents is less than 70 . B. Do not reject H0H_{0}. There is sufficient evidence to indicate that the average number of occupational accidents is less than 70 . C. Reject H0H_{0}. There is insufficient evidence to indicate that the average number of occupational accidents is less than 70 . D. Do not reject H0\mathrm{H}_{0}. There is insufficient evidence to indicate that the average number of occupational accidents is less than 70 . e. What conditions are required for the test results to be valid? Select all that apply A. The sample was selected from a population with a distribution that is approximately normal. B. The sample was random. C. The population standard deviation is known. D. The sample was selected from a population with a distribution that is highly skewed. E. No assumptions are required for this test. Clear all Check answer 10:01 PM 11/24/2024

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Problem 543

This question: 1 point(s) possible Submit quiz
Data on the weights (Ib) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal, Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. \begin{tabular}{|c|c|c|} \hline & Diet & Regular \\ \hlineμ\mu & μ1\mu_{1} & μ2\mu_{2} \\ \hline n\boldsymbol{n} & 24 & 24 \\ \hline xˉ\bar{x} & 0.79386 lb & 0.80841 lb \\ \hline s\mathbf{s} & 0.00441 lb & 0.00743 lb \\ \hline \end{tabular}
State the conclusion for the test. A. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. B. Reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. C. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the Submit quiz 9:06 PM 11/24/2024

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Problem 544

Provide an appropriate response.
A local tennis pro-shop strings tennis rackets at the tension (pounds per square inch) requested by the customer. Recently a customer made a claim that the pro-shop consistently strings rackets at lower tensions, on average, than requested. To support this claim, the customer asked the pro shop to string 10 new rackets at 41 psi. Suppose the two-tailed PP-value for the test described above (obtained from a computer printout) is 0.07 Give the proper conclusion for the test. Use alpha =0.10=0.10

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Problem 545

this distribution that corresponds to the given z -score. z=7z=-7
The data item that corresponds to z=7\mathrm{z}=-7 is \square . (Type an integer or a decimal.)

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Problem 546

Part 3 of 8 HW Score: 50%,350 \%, 3 of 6 points Points: 0 of 1 Save those who imme sample data B. The response variable is the number of students. The explanatory variab C. The response variable is the time to graduate. The explanatory variable is D. The response variable is the use of community college or not. The explar b) Explain why this study can be analyzed using inference of two sample means. A. The samples can be reasonably assumed to be random. B. The sample sizes are not more than 5%5 \% of the population. C. The population is given to be normally distributed. \begin{tabular}{|c|c|c|} \hline & Community College Transfer & No Transfer \\ \hline Sample mean time & 265 & 1164 \\ \hline to graduate, in years & 5.38 & 4.45 \\ \hline Sample standard deviation time to graduate, in years & 1.147 & 1.021 \\ \hline \end{tabular} D. The sample sizes are large (both greater than or equal to 30 ). \qquad E. The samples are independent. Print Done c) Does the evidence suggest that community college transfer students take lo Determine the null and alternative hypotheses. B. H0:μcommunity college >μno transfer ,H1:μcommunity college <μno transfer \mathrm{H}_{0}: \mu_{\text {community college }}>\mu_{\text {no transfer }}, \mathrm{H}_{1}: \mu_{\text {community college }}<\mu_{\text {no transfer }} C. H0:μcommunity college =μno transfer ,H1:μcommunity college >μno transfer \mathrm{H}_{0}: \mu_{\text {community college }}=\mu_{\text {no transfer }}, \mathrm{H}_{1}: \mu_{\text {community college }}>\mu_{\text {no transfer }} D. H0:μcommunity college =μno transfer ,H1:μcommunity college <μno transfer \mathrm{H}_{0}: \mu_{\text {community college }}=\mu_{\text {no transfer }}, \mathrm{H}_{1}: \mu_{\text {community college }}<\mu_{\text {no transfer }}

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Problem 547

Here are the hottest recorded temperatures (in F{ }^{\circ} \mathrm{F} ) for eight cities throughout North America. Complete the grouped frequency distribution for the data. In the distribution, the frequency of a class is the number of temperatures in that class. (Note that we are using a class width of 5.) \begin{tabular}{|cccc|} \hline \multicolumn{4}{|c|}{\begin{tabular}{c} Temperature \\ (in F)\left.{ }^{\circ} \mathrm{F}\right) \end{tabular}} \\ \hline 113 & 113 & 103 & 110 \\ 108 & 104 & 117 & 116 \\ \hline \end{tabular} \begin{tabular}{|c|} \hline \begin{tabular}{c} Temperature \\ (in F{ }^{\circ} \mathrm{F} ) \end{tabular} \\ \hline 103 to 107 \\ Frequency \\ 108 to 112 \\ 113 to 117 \\ \hline \end{tabular}

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Problem 548

Part 1 of 4 HW Score: 66.9%,6.6966.9 \%, 6.69 of 10 points Points: 0 of 1 Save
A professor at a local university designed an experiment to see if someone could identify the color of a candy based on taste alone. Students were blindfolded and then given a red-colored or yellow-colored candy to chew. (Half the students were assigned to receive the red candy and half to receive the yellow candy. The students could not see what color candy they were given.) After chewing, the students were asked to guess the color of the candy based on the flavor. Of the 110 students who participated in the study, 93 correctly identified the color of the candy. The results are shown in the accompanying technology printout. Complete parts a through c below.
Click the icon to view the technology printout. a. If there is no relationship between color and candy flavor, what proportion of the population of students would correctly identify the color?
The proportion would be \square (Type an integer or a decimal.)
Technology Printdyst \begin{tabular}{|c|c|c|c|c|c|c|} \hline \multirow{4}{*}{ID_Color} & & Category & N & Observed Prop. & Test Prop & \begin{tabular}{l} Exact \\ Sig (2-tailed) \end{tabular} \\ \hline & Group 1 & Yes & 93 & 0.85 & 0.50 & 0.000 \\ \hline & Group 2 & No & 17 & 0.15 & & \\ \hline & Total & & 110 & 1 & & \\ \hline \end{tabular} Print Done Get more help -

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Problem 549

By examining the past driving records of drivers in a certain city, an insurance company has determined the (empirical) probabilities in the table to the right. Use the (empirical) probabilities to complete parts (A)(A) and (B)(B) below. \begin{tabular}{|c|c|c|c|} \hline \multirow[t]{2}{*}{} & \multicolumn{3}{|l|}{Miles Driven per Year} \\ \hline &  Less  Than 10,009M1\begin{array}{c} \hline \text { Less } \\ \text { Than } \\ 10,009 \\ \mathrm{M}_{1} \end{array} & \begin{tabular}{l} 10,00015,000\begin{array}{c} 10,000- \\ 15,000 \end{array} \\ Inclusive, M2M_{2} \end{tabular} &  More  Than 15,000M3\begin{array}{c} \text { More } \\ \text { Than } \\ 15,000 \text {, } \\ \mathrm{M}_{3} \end{array} \\ \hline Accident A & 0.10 & 0.20 & 0.20 \\ \hline No Accident A\mathrm{A}^{\prime} & 0.05 & 0.20 & 0.25 \\ \hline Totals & 0.15 & 0.40 & 0.45 \\ \hline \end{tabular} (A) Find the probability that a city driver selected at random drives more than 15,000 miles per year or has an accident.
The probability is 0.75 . (Type an integer or a decimal.) (B) Find the probability that a city driver selected at random drives 15,000 or fewer miles per year and has an accident.
The probability is \square (Type an integer or a decimal.)

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Problem 550

A vending machine is designed to dispense a mean of 7.4 oz of coffee into an 8 -oz cup. If the standard deviation of the amount of coffee dispensed is 0.3 oz and the amount is normally distributed, find the percent of times the machine will dispense less than 7.64 oz .
Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table.
The percentage of times the machine will dispense less than 7.64 oz is \square %\square \% (Type an integer or a decimal rounded to two decimal places as needed.)

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Problem 551

Assume that the weights of ripe watermelons grown at a particular farm are normally distributed with a mean of 90 pounds and a standard deviation of 2.5 pounds. Determine the percent of watermelons that weigh between 88.34 pounds and 94.61 pounds. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. \square \% (Round to two decimal places as needed.)

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Problem 552

A weight-loss clinic guarantees that its new customers will lose at least 5 lb by the end of their first month of participation or their money will be refunded. If the loss of weight of customers at the end of their first month is normally distributed, with a mean of 6.2 lb and a standard deviation of 0.81 lb , find the percent of customers who will be able to claim a refund. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. \square \% of customers will be able to claim a refund. (Round to the nearest tenth as needed.)

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Problem 553

https://www-awy.aleks.com/alekscgi/X/Isl.exe/1o_u-lgNslkasNW8D8A9PVVfaYzvAnKbEZqvmttllkfkbx0fBm18LItV2MuqLjsTaljMWZa5_8UrnEXm8h4nR48leR0Eiar... Homework 6.4 Question 3 of 6 (1 point) I Question Attempt: 1 of Unlimited Salma 1\checkmark 1 2\checkmark 2 =3=3 4 5 6
Single Americans In a recent year, about 22%22 \% of Americans 16 years and older are single. What is the probability that in a random sample of 225 Americans 16 or older, more than 36 are single? Round the final answer to at least 4 decimal places and intermediate zz-value calculations to 2 decimal places. P(x>36)=P(x>36)= \square

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Problem 554

b) Beim Buchen eines Fluges kann man zwischen der Economy Class (E) und der Business Class (B) wählen. In jeder der beiden Klassen muss man entweder einen Fensterplatz (F), einen Platz am Gang (G) oder einen Platz in der Mitte (M) wählen. Erfahrungsgemäß wählen 90 \% der Fluggäste die Economy Class, die übrigen 10 \% wählen die Business Class. Von den Fluggästen der Business Class wünschen sich 82%82 \% einen Fensterplatz und 8%8 \% einen Platz in der Mitte. Von den Fluggästen der Economy Class wünschen sich 70%70 \% einen Fensterplatz und 25 \% einen Platz am Gang. 1) Vervollständige das nachstehende Baumdiagramm mit den fehlenden Wahrscheinlichkeiten so, dass es den beschriebenen Sachverhalt wiedergibt. [1 Punkt] 2) Berechne die Wahrscheinlichkeit, dass sich ein zufällig ausgewählter Fluggast einen Fensterplatz wünscht. [1 Punk

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Problem 555

Persentase penghasilan 100 keluarga di suatu kota yang mereka belanjakan untuk bahan makanan 24 253144424128474843 204159552952223924 571732384647634143 561845543739423224 463543263057472225 206224195931486141 382552344548324644 564942474529363254 604548355251545342 422642242830334144 246923613062393443 Buatlah histogram dan poligrn frekuensi nya.

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Problem 556

Standard 15 Suppose the mean commute time among all NKU students is 27.3 minutes with a standard deviation of 9.38 minutes. Consider samples of 49 NKU students for which the sample mean is calculated. A. Fully describe the sampling distribution of the sample mean.

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Problem 557

JR makes 88%88 \% of all three-point shots and 85%85 \% of all free-throw shots while playing basketball. Suppose she shoots 8 three-point shots and 5 free-throw shows. What is the probability that she makes 5 three-point shots and 3 free-throw shots?

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Problem 558

Jaymes is taking a 19-question science test. a. If Jaymes guesses on each question, and the test contains 19 true-false questions, find the probability that he answers 9 questions correctly. \square State answer as a decimal rounded to six decimal places. b. If Jaymes guesses on each question, and the test contains 19 multiple-choice questions, find the probability that he answers 9 questions correctly when each question has 4 answer options. \square State answer as a decimal rounded to six decimal places.

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Problem 559

Get an education: A survey asked 32,126 people how much confidence they had in educational institutions. The results were as follows. Round your answers to four decimal places if necessary. \begin{tabular}{lr} \hline \multicolumn{1}{c}{ Response } & Number \\ \hline A great deal & 10,022 \\ Some & 17,813 \\ Hardly any & 4291 \\ \hline Total & 32,126 \end{tabular} Send data to Excel
Part 1 of 3 (a) What is the probability that a sampled person has either a great deal or hardly any confidence in educational institutions?
The probability that a sampled person has either a great deal or hardly any confidence in educational institutions is 0.4455 .
Part: 1 / 3
Part 2 of 3 (b) Assume this is a simple random sample from a population. Use the Empirical Method to estimate the probability that a person has hardly any confidence in educational institutions.
Using the Empirical Method the probability is approximately \square .

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Problem 560

A new drug has shown to be effective in 68%68 \% of participants during the trials. In a group of 50 patients; what is the probability that the drug is not effective for at most 5 patients?
State answer as a decimal rounded to six decimal places. \square

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Problem 561

iClicker Question Systolic blood pressures of healthy adults follow a normal distribution. We would like to conduct a hypothesis test at the 5%5 \% level of significance to determine if the true mean systolic blood pressure of healthy adults is greater than 120 . We take a random sample of 25 healthy adults. The sample mean systolic blood pressure is calculated to be 122 and the sample standard deviation is calculated to be 7.8. The P -value and conclusion of the appropriate test of significance are, respectively: (A) between 0.05 and 0.10 , fail to reject H0\mathrm{H}_{0}. (B) between 0.10 and 0.15 , reject H0\mathrm{H}_{0}. (C) between 0.10 and 0.15 , fail to reject H0\mathrm{H}_{0}. (D) between 0.15 and 0.20 , reject H0\mathrm{H}_{0}. (E) between 0.15 and 0.20 , fail to H0\mathrm{H}_{0}.

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Problem 562

iClicker Question A scientist is concerned about radiation levels in her laboratory. A room is only considered safe if the mean radiation level is 425 or less. A random sample of 16 radiation measurements is taken at different locations within the laboratory. These 16 measurements have a mean of 437 and a standard deviation of 20. Radiation levels in the laboratory are known to follow a normal distribution. We conduct a hypothesis test at the 5%5 \% level of significance to determine whether there is evidence that the laboratory is unsafe.

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Problem 563

(a) Kenworth Electrical specialises in wiring new houses.
The monthly wages of all Kenworth Electrical employees are summarised in the frequency table below. \begin{tabular}{|c|c|} \hline Monthly wage, £x£ x & Frequency \\ \hline 1800x<20001800 \leqslant x<2000 & 64 \\ \hline 2000x<21002000 \leqslant x<2100 & 50 \\ \hline 2100x<24002100 \leqslant x<2400 & 2 \\ \hline 2400x<58002400 \leqslant x<5800 & 0 \\ \hline 5800x<78005800 \leqslant x<7800 & 4 \\ \hline \end{tabular} i) Estimate the mean ii) Which group contains the median iii) Write down the modal group

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Problem 564

1 2 3 4 5 6 7 8 (9) (10)
The histogram shown represents the distribution of salaries, in thousands of dollars, for 28 players on a professional soccer team. Which of the following explains whether the mean or the median of the data is the more reasonable estimate of the typical salary of a player on the team?
A Since the distribution is symmetric, the mean and the median are equally accurate estimates of the typical salary.
B The mean is a more accurate estimate of the typical salary than the median because it is not as affected by outliers.
C The median is a more accurate estimate of the typical salary than the mean because it is not as affected by outliers.
D Since the distribution is skewed, neither the mean nor the median can be used to estimate the typical salary.

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Problem 565

Students who graduate from Trevino University can receive Latin honours if they excelled in their studies. 22 Time elapsed 00 36 47 HR MIN SEC SmartScore out of 100?100 ? 73
If 80 graduates received honours in all, how many more graduates were summa cum laude than magna cum laude?

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Problem 566

A free throw shooter has an average of making 68%68 \% of his free throws. If he throws 50 practice free throws. (HINT: use the binomlaldist function in the calculator) What is the probability that he will make between 25 and 40 of the shots? type your answer.
What is the probability that he will make at least 40 shots? type your answer_
What is the probability that he will make 30 of the shots? type your answer-

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Problem 567

A sample tested the claim that heights of men and heights of women have difference variances, with s=7.47394 cm\mathrm{s}=7.47394 \mathrm{~cm} for women and 7.11392 cm for men. The sample sizes are n1=142n_{1}=142 and n2=157n_{2}=157. When using the FF test with these data, is it correct to reason that there is no need to check for normality because n1>30n_{1}>30 and n2>30n_{2}>30 ?
Choose the correct answer below. A. Yes. The F test has a requirement that samples be from normally distributed populations, but this requirement can be ignored for large samples ( n1n_{1} and n2n_{2} greater than 30). B. No. The F test has a requirement that samples be from normally distributed populations, regardless of how large the samples are. C. No. There is no need to check for normality regardless of the sample size. There is no normality requirement for the F test. D. No. There is no need to check for normality as long as n110n_{1} \geq 10 and n210n_{2} \geq 10.

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Problem 568

Are the snow conditions a factor in the number of visitors at a ski resort? The table below shows data that was collected. \begin{tabular}{|c|c|c|} \hline Hard Packed & Machine Made & Powder \\ \hline 1368 & 1804 & 1840 \\ \hline 1347 & 1552 & 1945 \\ \hline 2099 & 1676 & 1834 \\ \hline 2010 & 1945 & 1924 \\ \hline 2108 & 1810 & 2132 \\ \hline 1884 & 1571 & 1884 \\ \hline 1693 & 1534 & 1904 \\ \hline 1243 & 1006 & 1828 \\ \hline 2308 & & 2828 \\ \hline \end{tabular}
Assume that all distributions are normal, the three population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of α=0.05\alpha=0.05. H0:μ1=μ2=μ3H_{0}: \mu_{1}=\mu_{2}=\mu_{3} H1H_{1} : At least two of the means differ from each other.
1. For this study, we should use Select an answer \square
2. The test-statistic for this data = \square (Please show your answer to 3 decimal places.)
3. The pp-value for this sample == \square (Please show your answer to 4 decimal places.)
4. The pp-value is Select an answer \square α\alpha
5. Base on this, we should

Select an answer sion is that...
6. As such, the final conclusion is that... (0) hypothesis There is sufficient evidence to support the claim that snow conditions is a factor in the number of visitors at a ski resort. There is insufficient evidence to support the claim that snow conditions is a factor in the number of visitors at a ski resort.

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Problem 569

At a university, 50%50\% of students play intramural volleyball. What is the probability a randomly chosen student participates?

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Problem 570

A light bulb lasts N(1100,60)N(1100, 60) hours. If 3/5 of bulbs are used, how many last between 1050 and 1140 hours?

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Problem 571

Find the expected number of light bulbs lasting between 1050 and 1140 hours from 375 bulbs, given mean = 1100, SD = 60.

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Problem 572

The acceptable level for insect filth in a certain food item is 4 insect fragments (larvae, eggs, body parts, and so on) per 10 grams. A simple random sample of 60 ten-gram portions of the food item is obtained and results in a sample mean of xˉ=4.8\bar{x}=4.8 insect fragments per ten-gram portion. Complete parts (a) through (c) below. (a) Why is the sampling distribution of xx approximately normal? A. The sampling distribution of xˉ\bar{x} is approximately normal because the population is normally distributed. B. The sampling distribution of xˉ\bar{x} is approximately normal because the sample size is large enough. C. The sampling distribution of xˉ\bar{x} is assumed to be i.pproximately normal, D. The sampling distribution of xˉ\bar{x} is approximately normal because the population is normally distributed and the sample size is large enough. (b) What is the mean and standard deviation of the sampling distribution of xˉ\bar{x} assuming μ=4\mu=4 and σ=4\sigma=\sqrt{4} ? μx=\mu_{x}= \square (Round to three decimal places as needed.) Get more help - Clear all Check answer

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Problem 573

College students are randomly selected and arranged in groups of three. The random variable xx is the number in the group who say that they take one or more online courses. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. \begin{tabular}{c|c} \hline x\mathbf{x} & P(x)\mathbf{P ( x )} \\ \hline 0 & 0.102 \\ \hline 1 & 0.356 \\ \hline 2 & 0.396 \\ \hline 3 & 0.146 \\ \hline \end{tabular}
Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the numerical values of the random variable xx are not associated with probabilities. C. No, the random variable xx is categorical instead of numerical. D. No, the sum of all the probabilities is not equal to 1 . E. No, not every probability is between 0 and 1 inclusive.

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Problem 574

In a survey, cell phone users were asked which ear they use to hear their cell phone, and the table is based on their responses. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. \begin{tabular}{|l|l} \hline & P(x)P(x) \\ \hline Left & 0.6362 \\ \hline Right & 0.304 \\ \hline \begin{tabular}{l} No \\ preference \end{tabular} & 0.0598 \\ \hline \end{tabular}
Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the sum of all the probabilities is not equal to 1. C. No, the random variable x is categorical instead of numerical. D. No, not every probability is between 0 and 1 inclusive. E. No, the numerical values of the random variable xx are not associated with probabilities.

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Problem 575

Determine whether the following procedure results in a binomial distribution or a distribution that can be treated as binomial (by applying the 5%5 \% guideline for cumbersome calculations). If it is not binomial and cannot be treated as binomial, identify at least one requirement that is not satisfied.
Surveying 100 homemakers and recording how satisfied they are with their toaster of scale from 1 to 5
Choose the correct answer below. A. It is binomial or can be treated as binomial. B. It is not binomial because there are more than two possible outcomes. C. It is not binomial because there are more than two possible outcomes and the trials are not independent. D. It is not binomial because the probability of success does not remain the same in all trials.

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Problem 576

Assume that when human resource managers are randomly selected, 58%58 \% say job applicants should follow up within two weeks. If 8 human resource managers are randomly selected, find the probability that exactly 2 of them say job applicants should follow up within two weeks.
The probability is \square (Round to four decimal places as needed.)

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Problem 577

If you are performing a right-tailed hypothesis test for a standard deviation, and you obtain a χ2\chi^{2} test statistic of 12.464 for a sample of size 6: (a) What conclusion would you reach when using a test with a significance level of 0.05 ?
Select an answer (b) What conclusion would be appropriate at a significance level of 0.01 ? Select an answer
Question Help: β\boldsymbol{\beta}^{-}Written Example Message instructor Check Answer

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Problem 578

Match each Test Situation with the correct Critical Value. For a two-sided test, find only the positive value. Test Situation Critical Value - \vee One sample, n=45,Ha:p<p0\mathrm{n}=45, H_{a}: p<p_{0}, and α=0.01\alpha=0.01 a. 2.434 -\vee One sample, n=61,Ha:p>p0\mathrm{n}=61, H_{a}: p>p_{0}, and α=0.05\alpha=0.05 b. 3.291 -\vee One sample, σ\sigma is known, n=175,Ha:μμ0\mathrm{n}=175, H_{a}: \mu \neq \mu_{0}, and α=0.05\alpha=0.05 c. 1.645 -\vee One sample, σ\sigma is unknown, n=57,Ha:μ<μ0\mathrm{n}=57, H_{a}: \mu<\mu_{0}, and α=0.05\alpha=0.05 d. 1.960 -\vee One sample, σ\sigma is unknown, n=37,Ha:μ>μ0\mathrm{n}=37, H_{a}: \mu>\mu_{0}, and α=0.01\alpha=0.01 e. -1.673 -\vee One sample, n=35,Ha:pp0\mathrm{n}=35, H_{a}: p \neq p_{0}, and α=0.001\alpha=0.001 f. 2.013 -\checkmark One sample, σ\sigma is unknown, n=47,Ha:μμ0\mathrm{n}=47, H_{a}: \mu \neq \mu_{0}, and α=0.05\alpha=0.05 g. -2.326
Question Help: \square Message instructor Check Answer

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Problem 579

Question 15
You are conducting a study to see if the mean doctor's salary (in thousands of dollars) is significantly more than 87. A random sample of 26 doctors' salary in thousands of dollars is shown below. Test the claim using a 1%1 \% level of significance. Give answer to at least 4 decimal places. \begin{tabular}{|c|} \hline Salary \\ \hline 93.48 \\ \hline 80.66 \\ \hline 87.95 \\ \hline 93.93 \\ \hline 78.52 \\ \hline 81.63 \\ \hline 94.37 \\ \hline 94.89 \\ \hline 96.94 \\ \hline 95.55 \\ \hline 84.94 \\ \hline 83.74 \\ \hline 81.22 \\ \hline 93.16 \\ \hline 97.49 \\ \hline 88.39 \\ \hline 98.04 \\ \hline 87.34 \\ \hline 93.37 \\ \hline 84.99 \\ \hline 92.41 \\ \hline 91.7 \\ \hline 88.8 \\ \hline 87.61 \\ \hline 102.15 \\ \hline 93.73 \\ \hline \\ \hline \end{tabular} a. What are the correct hypotheses? H0\mathrm{H}_{0} : \square ? 2 \square thousand dollars

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Problem 580

The accompanying data represent the approximate population, in millions, of the 20 most populous cities in the world. \begin{tabular}{|c|c|c|c|c|} \hline 13.3 & 12.1 & 10.3 & 8.3 & 7.2 \\ \hline 13.1 & 10.8 & 10.2 & 8.2 & 7.1 \\ \hline 12.9 & 10.7 & 8.8 & 8.1 & 6.9 \\ \hline 12.8 & 10.5 & 8.5 & 7.7 & 6.6 \\ \hline \end{tabular}
Use these data to construct a frequency distribution with a first class of 6.57.56.5-7.5. Fill in the missing classes an frequency for each class below. \begin{tabular}{|c|c|} \begin{tabular}{c} Population \\ (millions of people) \end{tabular} & Number of Cities \\ \hline 6.57.56.5-7.5 & \square \\ \hline\square-\square & \square \\ \hline 910.89-\square-10.8 & \square \\ \hline 10.911.910.9-11.9 & \square \\ \hline\square-\square & \square \\ \hline \end{tabular}

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Problem 581

A stats instructor claims that their proportion of grades A's, B's, C's, and D's (this particular instructor doesn't give Fs) is as follows: Ho:pA=0.3;pB=0.2;pC=0.2;pD=0.3H_{o}: p_{A}=0.3 ; p_{B}=0.2 ; p_{C}=0.2 ; p_{D}=0.3
Use a 0.005 significance level to test the instructor's claim. Complete the table. Report all answers accurate to three decimal places. \begin{tabular}{|c|l|ll||} \hline Category & \begin{tabular}{c} Observed \\ Frequency \end{tabular} & \multicolumn{1}{|c|}{\begin{tabular}{c} Expected \\ Frequency \end{tabular}} \\ \hline \hline A & 39 & 41.7 & \checkmark \\ \hline B & 32 & σ6\sigma^{6} \\ \hline \hline C & 38 & 27.8 & \checkmark \\ \hline \end{tabular}
What is the chi-square test-statistic for this data? χ2=7.732x\chi^{2}=7.732 \quad x
What is the Critical Value? C. V . == 12.838 \square

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Problem 582

A questionnaire was given to students in an introductory statistics class during the first week of the course. One question asked, "How stressed have you been in the last 2122 \frac{1}{2} weeks, on a scale of 0 to 10, with 0 being not at all stressed and 10 being as stressed as possible?" The students' responses are shown in the frequency distribution below. How many students were involved in the study?
Click the icon to view the frequency distribution. Frequency Distribution \begin{tabular}{|c|c|} \hline Stress Rating & Frequency \\ \hline 0 & 5 \\ \hline 1 & 3 \\ \hline 2 & 4 \\ \hline 3 & 15 \\ \hline 4 & 12 \\ \hline 5 & 17 \\ \hline 6 & 11 \\ \hline 7 & 21 \\ \hline 8 & 24 \\ \hline 9 & 14 \\ \hline 10 & 17 \\ \hline \end{tabular}

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Problem 583

The shape of the distribution of the time required to get an oil change at a 10-minute oil-change facility is skewed right. However, records indicate that the mean time is 11.2 minutes, and the standard deviation is 4.3 minutes. Complete parts (a) through (c) below.
Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) To compute probabilities regarding the sample mean using the normal model, what size sample would be required?
Choose the required sample size below. A. The sample size needs to be greater than 30. B. The normal model cannot be used if the shape of the distribution is skewed right. C. The sample size needs to be less than 30 . D. Any sample size could be used. (b) What is the probability that a random sample of n=35\mathrm{n}=35 oil changes results in a sample mean time less than 10 minutes?
The probability is approximately \square \square. (Round to four decimal places as needed.) (c) Suppose the manager agrees to pay each employee a $50\$ 50 bonus if they meet a certain goal. On a typical Saturday, the oil-change facility will perform 35 oil changes between 10 A.M. and 12 P.M. Treating this as a random sample, at what mean oil-change time would there be a 10\% chance of being at or below? This will be the goal established by the manager.

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Problem 584

2. Consider the following frequency distribution \begin{tabular}{|l|l|l|c|l|l|l|l|} \hline Class & 151915-19 & 202420-24 & 252925-29 & 303430-34 & 353935-39 & 404440-44 & 454945-49 \\ \hline Frequency & 10 & 22 & f1f_{1} & 40 & f2f_{2} & 18 & 12 \\ \hline \end{tabular}
The total frequency is 160 and the modal value is 31.0909 . Find; i) The value of f1f_{1} and f2f_{2} ii) Mode iii) Median iv) Coefficient of Quartile deviation v) Mean vi) Mean Absolute deviation vii) Standard deviation

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Problem 585

A certain businessman visits various companies, looking for investors for his startup. It is known that the chance that a potential investor will not decide to engage is 35.5%35.5 \%. We assume that the decisions of potential investors are independent. The businessman continues his visits until the third refusal (i.e. until he sees the third person who decides not to invest). Let XX denote the number of companies visited by the investor. Calculate P(X=10)P(X=10).
Round the result to THREE decinnal places.

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Problem 586

Let XX be a random variable with a CDF equal to F(x)=c(11.5xex)1[1.8;)(x)F(x)=c \cdot\left(\frac{1}{1.5}-x e^{-x}\right) \cdot \mathbb{1}_{[1.8 ; \infty)}(x), where cc is a constant. Find cc :
Answer: 3.361 \square
The correct answer is: 1.500
For the random variable defined aboveP (X[3.96;))(X \in[3.96 ; \infty)) amounts to
Answer: \square 1

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Problem 587

Period
7. In a normal distribution, x=3x=3 and z=0.67z=0.67. This tells you that x=3x=3 is \qquad standard deviations to the \qquad (left or right) of the mean.
8. In a normal distribution, x=5x=-5 and z=3.14z=-3.14. This tells you that x=5x=-5 is \qquad mean. standard deviations to the \qquad (left or right) of the
9. The life of Sunshine DVD players is normally distributed with a mean of 4.1 years and a standard deviation of 1.3 years. A DVD player is guaranteed for three years. We are interested in the length of time a DVD player lasts. Find the z score corresponding to the guaranteed life of 3 years
10. The systolic blood pressure (given in millimeters) of males has an approximately normal distribution with mean 125 and standard deviation 14. Systolic blood pressure for males follows a normal distribution. a. Calculate the z-scores for the male systolic blood pressure 100 and 150 millimeters. b. If a male friend of yours said that he thought his systolic blood pressure was 2.5 standard deviations below the mean, but he believed his blood pressure was between 100 and 150 millimeters, what would you say to him.

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Problem 588

Steve believes that his wife's cell phone battery does not last as long as his cell phone battery. On nine different occasions, he measured the length of time his cell phone battery lasted and calculated that the mean was 15.8 hours with a standard deviation of 3.1 hours. He measured the length of time his wife's cell phone battery lasted on twelve different occasions and calculated a mean of 24.2 hours with a standard deviation of 7.9 hours. Assume that the population variances are the same. Let Population 1 be the battery life of Steve's cell phone and Population 2 be the battery life of his wife's cell phone. Step 2 of 2: Interpret the confidence interval obtained in Step 1.
Answer Tables Keypad Keyboard Shortcuts Since the confidence interval contains zero, the data do not provide evidence that the population means are unequal at a 90%90 \% confidence level. We are 90%90 \% confident that the mean battery life of Steve's cell phone is between 3.6 hours and 13.2 hours shorter than the mean battery life of his wife's cell phone. We are 90%90 \% confident that the mean battery life of Steve's cell phone is between 3.6 hours and 13.2 hours longer than the mean battery life of his wife's cell phone. Since the confidence interval does not contain zero, the data do not provide evidence that the population means are unequal at a 90%90 \% confidence level.

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Problem 589

Is it worth pursuing a doctoral degree in education if you already have an undergraduate degree? One way to help make this decision is to look at the mean incomes of these two groups. Suppose that 11 people with bachelor's degrees in education were surveyed. Their mean annual salary was $45,000\$ 45,000 with a standard deviation of $6700\$ 6700. Sixteen people with doctoral degrees in education were found to have a mean annual salary of $40,500\$ 40,500 with a standard deviation of $5200\$ 5200. Assume that the population variances are not the same. Construct a 99%99 \% confidence interval to estimate the true difference between the mean salaries for people with doctoral degrees and undergraduate degrees in education. Let Population 1 be the salaries for people with doctoral degrees and Population 2 be the salaries for people with undergraduate degrees. Round the endpoints of the interval to the nearest whole number, if necessary. Tables Keypad Answer Keyboard Shortcuts

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Problem 590

Steve believes that his wife's cell phone battery does not last as long as his cell phone battery. On twelve different occasions, he measured the length of time his cell phone battery lasted and calculated that the mean was 22.3 hours with a standard deviation of 3.2 hours. He measured the length of time his wife's cell phone battery lasted on eight different occasions and calculated a mean of 15.9 hours with a standard deviation of 7.2 hours. Assume that the population variances are the same. Let Population 1 be the battery life of Steve's cell phone and Population 2 be the battery life of his wife's cell phone. Step 2 of 2: Interpret the confidence interval obtained in Step 1.
Answer Tables Keypad Keyboard Shortcuts Since the confidence interval does not contain zero, the data do not provide evidence that the population means are unequal at a 90%90 \% confidence level. We are 90%90 \% confident that the mean battery life of Steve's cell phone is between 2.3 hours and 10.5 hours shorter than the mean battery life of his wife's cell phone. We are 90%90 \% confident that the mean battery life of Steve's cell phone is between 2.3 hours and 10.5 hours longer than the mean battery life of his wife's cell phone. Since the confidence interval contains zero, the data do not provide evidence that the population means are unequal at a 90%90 \% confidence level.

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Problem 591

Let XX be a non-negative random variable with a distribution such that P(X>a)=e0.6aP(X>a)=e^{-0.6 a} for all a>0a>0. Calculate P(eX0.291)P\left(e^{X}-0.29 \leq 1\right).

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Problem 592

GUIDED SOLUTION
Essays A professor wishes to see if two groups of students' essays differ in lengths, that is, the number of words in each essay. The professor randomly selects 12 essays from a group of students who are science majors and 10 essays from a group of humanities majors to compare. The data are shown. At α=0.10\alpha=0.10, can it be concluded that there is a difference in the lengths of the essays between the two groups?
Science majors  Science majors 205731292501346427622075298437833259238939393425\begin{array}{llllllllll} \text { Science majors } \\ \hline 2057 & 3129 & 2501 & 3464 & 2762 & 2075 & 2984 & 3783 & 3259 & 2389 \\ 3939 & 3425 \end{array}
Humanities majors  Humanities majors 269829402257193321740\begin{array}{l} \text { Humanities majors } \\ \hline 2698 \\ \hline 2940 \\ 2257 \\ 19332 \\ 1740 \end{array}
Send data to Excel Use μ1\mu_{1} for the mean of science majors and μ2\mu_{2} for the mean of humanities majors. Assume the populations are normally distributed, and that the variances are unequal. (a) State the hypotheses and identify the claim with the correct hypothesis. (b) Find the critical value(s). (c) Compute the test value. (d) Make the decision. (e) Summarize the results. (a) State the hypotheses and identify the claim with the correct hypothesis.
The null hypothesis H0H_{0} is the statement that there is (Choose one) \nabla between the means. This is equivalent to μ1\mu_{1} (Choose one) μ2\nabla \mu_{2}.

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Problem 593

JR makes 91%91 \% of all three-point shots and 77%77 \% of all free-throw shots while playing basketball. Suppose she shoots 7 three-point shots and 7 free-throw shows. What is the probability that she makes 6 three-point shots and 5 free-throw shots?
State answer as a decimal rounded to six decimal places. \square Basic

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Problem 594

\begin{tabular}{|c|c|} \hline Ages & Number of students \\ \hline \hline 151815-18 & 9 \\ \hline 192219-22 & 7 \\ \hline 232623-26 & 6 \\ \hline 273027-30 & 4 \\ \hline 313431-34 & 2 \\ \hline 353835-38 & 8 \\ \hline \end{tabular}
Based on the frequency distribution above, find the relative frequency for the class with a lower class limit of 23
Give your answer as a percent, rounded to 1 place after the decimal point, if necessary. Type only a number in the answer box (do NOT type "\%" after your answer).
Relative Frequency = \square \%

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Problem 595

5 a) 30 Kinder der 5 c haben die Länge einer Strecke an der Tafel auf cm genau geschätzt: 98;92;66;68;74;87;65;75;91;91;94;77;60;82;92;84;95;86;74;87;95;59;77;77;64;72;85;7298 ; 92 ; 66 ; 68 ; 74 ; 87 ; 65 ; 75 ; 91 ; 91 ; 94 ; 77 ; 60 ; 82 ; 92 ; 84 ; 95 ; 86 ; 74 ; 87 ; 95 ; 59 ; 77 ; 77 ; 64 ; 72 ; 85 ; 72; 74; 84. Bestimmen Sie die Standardabweichung ss der Schätzwerte. b) Welche Länge hat die Strecke vermutlich in Wirklichkeit (zwischen ... und ...cm)? c) Bestimmen Sie, welcher Anteil der Schätzwerte weniger als eine Standardabweichung vom Mittelwert entfernt liegt.

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Problem 596

Speeding Tickets A motorist claims that the South Boro Police issue an average of 60 speeding tickets per day. The following data show the number of speeding tickets issued each day for a period of one month. Assume σ\sigma is 13.42 . Is there enough evidence to reject the motorist's claim at α=0.10\alpha=0.10 ? Use the PP-value method. Assume the variable is normally distributed. \begin{tabular}{llllllll} 57 & 60 & 83 & 26 & 72 & 58 & 87 & 48 \\ 59 & 60 & 56 & 64 & 68 & 42 & 57 & 58 \\ 63 & 49 & 73 & 75 & 42 & 63 & 57 & 60 \\ 72 & 45 & & & & & & \end{tabular} Send data to Excel
Part: 0/50 / 5
Part 1 of 5 (a) State the hypotheses and identify the claim. H0: (Choose one) H1: (Choose one) \begin{array}{l} H_{0}: \square \text { (Choose one) } \nabla \\ H_{1}: \square \text { (Choose one) } \nabla \end{array}
This hypothesis test is a (Choose one) \boldsymbol{\nabla} test. \square

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Problem 597

You roll a die, winning nothing if the number of spots is odd, $1\$ 1 for a 2 or a 4 , and $10\$ 10 for a 6 . Round your answers to 3 decimal places (a) Find the expected value and standard deviation of your prospective winnings. The expected value is \square , the standard deviation is \square (b) You play twice. Find the mean of your total winnings.
The mean is \square

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Problem 598

Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed. (a) Test whether μ1>μ2\mu_{1}>\mu_{2} at the α=0.05\alpha=0.05 level of significance for the given sample data. (b) Construct a 99%99 \% confidence interval about μ1μ2\mu_{1}-\mu_{2}. \begin{tabular}{ccc} & Population 1 & Population 2 \\ \hline n\mathbf{n} & 22 & 15 \\ \hlinex\overline{\mathbf{x}} & 50.7 & 42.1 \\ \hline s\mathbf{s} & 4.6 & 10.6 \end{tabular} (a) Identify the null and alternative hypotheses for this test. A. H0:μ1=μ2H_{0}: \mu_{1}=\mu_{2} B. H0:μ1>μ2H_{0}: \mu_{1}>\mu_{2} C. H0:μ1μ2H_{0}: \mu_{1} \neq \mu_{2} H1:μ1<μ2H_{1}: \mu_{1}<\mu_{2} H1:μ1=μ2H_{1}: \mu_{1}=\mu_{2} H1:μ1=μ2H_{1}: \mu_{1}=\mu_{2} D. H0:μ1<μ2H_{0}: \mu_{1}<\mu_{2} E. H0:μ1=μ2H_{0}: \mu_{1}=\mu_{2} F. H0:μ1=μ2H_{0}: \mu_{1}=\mu_{2} H1:μ1=μ2H_{1}: \mu_{1}=\mu_{2} H1:μ1μ2H_{1}: \mu_{1} \neq \mu_{2} H1:μ1>μ2H_{1}: \mu_{1}>\mu_{2}

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Problem 599

Nov 25 Exit Slip/HW - L3-6 Distributive Property
Use the distributive property to find an equivalent expression: 7(2f9)=7(2 f-9)= \square
DO NOT USE ANY SPACES BETWEEN THE NUMBERS OR OPERATION SYMBOL

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Problem 600

The and arranged in groups of three. The random variable xx is the number in the group who say that they would feel comfortable in a self-driving vehicle. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. \begin{tabular}{c|c} \hline x\mathbf{x} & P(x)\mathbf{P}(\mathbf{x}) \\ \hline 0 & 0.362 \\ \hline 1 & 0.443 \\ \hline 2 & 0.172 \\ \hline 3 & 0.023 \\ \hline \end{tabular}
Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, not every probability is between 0 and 1 inclusive. C. No, the random variable x's number values are not associated with probabilities. D. No, the sum of all the probabilities is not equal to 1 . E. No, the random variable xx is categorical instead of numerical.
Find the mean of the random variable xx. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. μ=\mu= \square adult(s) (Round to one decimal place as needed.) B. The table does not show a probability distribution.

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