Data & Statistics

Problem 3001

You roll a die, winning nothing if the number of spots is odd, $\$ 1$ for a 2 or a 4 , and $\$ 10$ 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 3002

Part 1 of 4 Points: 0 of 1
In randomized, double-blind clinical trials of a new vaccine, monkeys were randomly divided into two groups. Subjects in group 1 received the new vaccine while subjects in group 2 received a control vaccine. After the second dose, 134 of 460 subjects in the experimental group (group 1) experienced drowsiness as a side effect. After the second dose, 26 of 84 of the subjects in the control group (group 2) experienced drowsiness as a side effect. Does the evidence suggest that a different proportion of subjects in group 1 experienced drowsiness as a side effect than subjects in group 2 at the $\alpha=0.01$ level of significance?
Determine the null and alternative hypotheses. Choose the correct answer below. A. $H_{0}: p_{1}=p_{2}$ versus $H_{1}: p_{1}<p_{2}$ B. $H_{0}: p_{1}=0$ versus $H_{0}: p_{1} \neq 0$ C. $H_{0}: p_{1}=p_{2}$ versus $H_{1}: p_{1} \neq p_{2}$ D. $H_{0}: p_{1}=p_{2}$ versus $H_{1}: p_{1}>p_{2}$

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Problem 3003

The data represents a sample of gas that has a constant volume and number of particles. Use the data to answer these two questions.
When the Kelvin temperature of the gas is quadruple (increased by a factor of four), the pressure \begin{tabular}{|c|c|c|} \hline Trial & \begin{tabular}{c} Temperature \\ (K) \end{tabular} & \begin{tabular}{c} Pressure \\ (mm Hg) \end{tabular} \\ \hline 1 & 200 & 400 \\ \hline 2 & 300 & 600 \\ \hline 3 & 400 & 800 \\ \hline 4 & 600 & 1200 \\ \hline 5 & 800 & 1600 \\ \hline \end{tabular} of the gas becomes $\qquad$ $\square$ Displaying option 1 of 7 .
Which set of trials demonstrate this relationship? Select all that apply. Rows 1 and 2 Rows 2 and 4 Rows 1 and 3 Rows 2 and 5 Rows 1 and 4 Rows 3 and 4 Rows 1 and 5 Rows 3 and 5

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Problem 3004

The data represents a sample of gas that has a constant volume and number of particles. Use the data to answer these two questions.
When the Kelvin temperature of the gas is tripled (increased by a factor of three), the pressure of \begin{tabular}{|c|c|c|} \hline Trial & \begin{tabular}{c} Temperature \\ $(\mathbf{K})$ \end{tabular} & \begin{tabular}{c} Pressure \\ (atm) \end{tabular} \\ \hline 1 & 200 & 0.80 \\ \hline 2 & 300 & 1.20 \\ \hline 3 & 400 & 1.60 \\ \hline 4 & 600 & 2.40 \\ \hline 5 & 800 & 3.20 \\ \hline \end{tabular} the gas becomes $\qquad$ Whoa! Not possible to tell

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Problem 3005

$(\lambda), E(X+7), D(2 X-5)$ 3) 21 . Supozojme $\operatorname{Cov}\left(X_{1}-X_{2}, X_{1}+X_{2}\right)=0$

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Problem 3006

The data represents a sample of gas that has a constant volume and number of particles. Use the data to answer these two questions.
When the Kelvin temperature of the gas is tripled (increased by a factor of three), the pressure of the gas becomes $\qquad$ \begin{tabular}{|c|c|c|} \hline Trial & \begin{tabular}{c} Temperature \\ $\mathbf{( K )}$ \end{tabular} & \begin{tabular}{c} Pressur \\ (atm) \end{tabular} \\ \hline 1 & 200 & 0.80 \\ \hline 2 & 300 & 1.20 \\ \hline 3 & 400 & 1.60 \\ \hline 4 & 600 & 2.40 \\ \hline 5 & 800 & 3.20 \\ \hline \end{tabular} three times larger Displaying option 3 of 7.
Which set of trials demonstrate this relationship? Select all that apply. Rows 1 and 2 Rows 2 and 4 Rows 1 and 3 Rows 1 and 4 Rows 2 and 5 Rows 1 and 5 Rows 3 and 4

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Problem 3007

gas that has a constant volume and number of particles. Use the data to answer these two questions.
When the Kelvin temperature of the gas is doubled, the pressure of the gas becomes \begin{tabular}{|c|c|c|} \hline & \begin{tabular}{c} (K) \end{tabular} & \begin{tabular}{c} (mm Hg) \end{tabular} \\ \hline 1 & 200 & 400 \\ \hline 2 & 300 & 600 \\ \hline 3 & 400 & 800 \\ \hline 4 & 600 & 1200 \\ \hline 5 & 800 & 1600 \\ \hline \end{tabular} letekidantesfa Proportion: Progres \#1 two times larger

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Problem 3008

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

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Problem 3009

The stock prices for eight major grocery store chains last January were: $\begin{array}{llllllll} \$ 18.24 & \$ 20.34 & \$ 9.36 & \$ 11.53 & \$ 11.21 & \$ 48.04 & \$ 48.82 & \$ 28.27 \end{array}$ Send data to Excel
Find the range, variance, and standard deviation. Round the variance to one decimal place and the standard deviation to two decimal places, if necessary.
Part 1 of 3
The range is $\$ 39.46$ .
Part: $1 / 3$
Part 2 of 3
The variance is $\square$

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Problem 3010

These data are the number of junk e-mails Lena received for 9 consecutive days. $\begin{array}{lllllllll}61 & 1 & 1 & 5 & 4 & 32 & 22 & 5 & 9\end{array}$
Send data to Excel
Find the range, variance, and standard deviation. Round the variance to one decimal place and the standard deviation to two decimal places, if necessary.
Part: $0 / 3$
Part 1 of 3
The range is $\square$ e-mails.

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Problem 3011

The weights (in pounds) of nine players from a college football team are recorded as follows. $\begin{array}{lllllllll} 204 & 219 & 305 & 291 & 265 & 286 & 303 & 253 & 261 \end{array}$ Send data to Excel
Find the range, variance, and standard deviation. Round the variance to one decimal place and the standard deviation to two decimal places, if necessary. Round intermediate calculations to one decimal place.
Part: $0 / 3$
Part 1 of 3
The range is $\square$ pounds.

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Problem 3012

Jnit 2 Pre-Test POSSIBLE POINTS: 6.67
There were 30 people who came to the Middle School Wrestling Banquet. The following Bar Graph shows the number of people who selected a particular dessert at the banquet. Use the bar graph to answer the questions below.
Favorite Desserts
What percentage of people choose cookies as their dessert? $\square$ Based on the data collected from the Middle School Banquent, if the school is expecting 100 people to attend the upcoming High School Banquet, How many people should they expect to have cake for dessert? $\square$

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Problem 3013

\begin{tabular}{lr} \hline Car payment & $\$ 305$ \\ \hline Internet & $\$ 140$ \\ \hline Car wash & $\$ 20$ \\ \hline Insurance & $\$ 135$ \\ \hline TOTAL & $\$ 1,755$ \\ \hline \end{tabular}
However, Lee has made a mistake and listed an expense that should not be listed.
Which expense should not be considered when making an emergency fund?
Choose 1 answer: (A) Internet (B) Utilities (C) Car wash

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Problem 3014

Question 1 0/1 pt 2 4
You measure 35 randomly selected textbooks' weights, and find they have a mean weight of 73 ounces. Assume the population standard deviation is 13.1 ounces. Based on this, construct a $90 \%$ confidence $90 \%$ interval for the true population mean textbook weight.
Give your answers as decimals, to two places $S=35$ < $\mu<$ $\qquad$

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Problem 3015

There is a 0.9982 probability that a randomly selected 30 -year-old male lives through the year. A life insurance company charges $\$ 187$ for insuring that the male will liv through the year. If the male does not survive the year, the policy pays out $\$ 100,000$ as a death benefit. Complete parts (a) through (c) below. a. From the perspective of the 30 -year-old male, what are the monetary values corresponding to the two events of surviving the year and not surviving?
The value corresponding to surviving the year is $\$-187$ . The value corresponding to not surviving the year is $\$ 99,813$ . (Type integers or decimals. Do not round.) b. If the 30-year-old male purchases the policy, what is his expected value?
The expected value is $\$-7$ . (Round to the nearest cent as needed.) c. Can the insurance company expect to make a profit from many such policies? Why?
Yes, because the insurance company expects to make an average profit of $\$ \square$ on every 30 -year-old male it insures for 1 year. (Round to the nearest cent as needed.)

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Problem 3016

Select any of the following scenarios where data should be collected through an experiment and not an observational study.
Answer You wish to determine if playing music to your plants will help them grow. A local shelter wishes to determine the percentage of animals that are adopted within two weeks of arriving at the shelter. A pharmaceutical company wishes to determine if a new medication will be effective for treating inflammation. Your neighborhood's HOA wishes to determine the average number of children per household in the neighborhood.

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Problem 3017

The and arranged in groups of three. The random variable $x$ 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 $\mathbf{x}$ & $\mathbf{P}(\mathbf{x})$ \\ \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 $x$ is categorical instead of numerical.
Find the mean of the random variable $x$ . Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $\mu=$ $\square$ adult(s) (Round to one decimal place as needed.) B. The table does not show a probability distribution.

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Problem 3018

At a carnival, one game involves guessing the number of marbles in a plastic jar. The following data represents the guesses that people made during one hour at the carnival. Complete the frequency table for this data. $1435,1286,1167,1230,1457,1299,1341,1231,1404,1338,1323,1442,1469,1290,1470,1440$ Copy Data
Determine the frequency of each class in the table shown.
Answer Keypad Keyboard Shortcut \begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{ Number of Marbles in a Plastic } \\ \hline Class & Frequency \\ \hline $1113-1172$ & $\square$ \\ \hline $1173-1232$ & $\square$ \\ \hline \end{tabular}

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Problem 3019

Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.75 probability that a pea has green pods. Assume that the offspring peas are randomly selected in groups of 40 . Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of peas with green pods in the groups of 40 .
The value of the mean is $\mu=$ $\square$ peas. (Type an integer or a decimal. Do not round.)

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Problem 3020

Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.75 probability that a pea has green pods. Assume that the offspring peas are randomly selected in groups of 40 . Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of peas with green pods in the groups of 40 .
The value of the mean is $\mu=30$ peas. (Type an integer or a decimal. Do not round.) The value of the standard deviation is $\sigma=\square$ $\square$ peas. (Round to one decimal place as needed.)

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Problem 3021

The figure below presents the demand curve, marginal revenue, and marginal costs facing a monopolist. (A monopolist is a producer.) a. Under monopoly pricing, are profits positive, negative, or zero? Positive b. If government regulates average total cost pricing ( $P=A T C$ ), are profits positive, negative, or zero? (Click to selt c. If government regulates efficient pricing, are profits positive, negative, or zero? $\square$ Click to sele d. Is this a natural monopoly? (Click to sele

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Problem 3022

What requirements are necessary for a normal probability distribution to be a standard normal probability distribution?
Choose the correct answer below. A. The mean and standard deviation have the values of $\mu=0$ and $\sigma=1$ . B. The mean and standard deviation have the values of $\mu=0$ and $\sigma=0$ . C. The mean and standard deviation have the values of $\mu=1$ and $\sigma=1$ . D. The mean and standard deviation have the values of $\mu=1$ and $\sigma=0$ .

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Problem 3023

A bug travels up a tree, from the ground, over a 30 -second interval. It travels fast at first and then slows down. It stops for 10 seconds, then proceeds slowly, speeding up as it goes. Which sketch best illustrates the bug's distance $(d)$ from the ground over the 30 -second interval $(t)$ ?
A $d$ C $d$
B D $d$

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Problem 3024

15. Average monthly temperatures for the city of Hamilton, Ontario, from Januáry to December are shown. \begin{tabular}{|c|c|} \hline Month & Temperature $\left({ }^{\circ} \mathrm{C}\right)$ \\ \hline 1 & -4.8 \\ \hline 2 & -4.8 \\ \hline 3 & -0.2 \\ \hline 4 & 6.6 \\ \hline 5 & 12.7 \\ \hline 6 & 18.6 \\ \hline 7 & 21.9 \\ \hline 8 & 20.7 \\ \hline 9 & 16.4 \\ \hline 10 & 10.5 \\ \hline 11 & 3.6 \\ \hline 12 & -2.3 \\ \hline \end{tabular} a) Make a scatter plot of the data. b) Use the table and the graph to write a sinusoidal function to model the data. c) Graph your model on the same set of axes as your scatter plot. Comment on the accuracy of the fit.

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Problem 3025

15. Records show that the probability of seeing a hawk migrating on a day in September is about 35\%. What is the minimum number of days a person must watch to be at least $96.8 \%$ sure of seeing one or more hawks migrating? a) 5 b) 6 c) 7 d) 8 e) 9

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Problem 3026

15. Records show that the probability of seeing a hawk migrating on a day in September is about $35 \%$ . What is the minimum number of days a person must watch to be at least $96.8 \%$ sure of seeing one or more hawks migrating? a) 5 b) 6 c) 7 d) 8 e) 9
Use the table below for numbers 16 and 17. The following data are based on a survey taken by a consumer research firm. In this table. $x=$ number of televisions in a household and $\%=$ percentages of U.S. households. \begin{tabular}{|l|l|l|l|l|l|l|} \hline $\boldsymbol{x}$ & 0 & 1 & 2 & 3 & 4 & 5 or more \\ \hline $\%$ & $3 \%$ & $11 \%$ & $28 \%$ & $39 \%$ & $12 \%$ & $7 \%$ \\ \hline \end{tabular}
16. What is the probability that a household selected at random has less than three televisions? a) 0.81 b) 0.39 c) 0.42 d) 0.58 e) 0.19
17. The probability that a manufacture part at a plant is defective is $\mathbf{0 . 0 2}$ . The plant has manufactured 300 parts. Let $r$ be the random variable representing the number of defective parts. What is the probability that exactly five parts are defectlve? Use the Poisson distribution for the binomial. a) 0.0268 b) 0.9732 c) 0.8394 d) 0.001 e) 0.1606
18. Compute the expected value of the $x$ distribution (round televisions of five or more to five). a) 15 b) 2.67 c) 1.28 d) 1.13 e) 3.1
19. The number of points scored in a soccer game is an example of what type of variable? a) Discrete b) Continuous c) Both A and B
20r. A business has seven locations to choose from and wishes to rank only the top three locations. How many different ways can this be done? a) 5,040 b) 840 c) 420 d) 210 e) 35
21r. Suppose a researcher assigns the numbers to possible study participants and then chooses every $10^{\text {th }}$ subject after randomly selecting a starting value. This is an example of what type of sampling? a) Random b) Systematic c) Stratified d) Cluster e) Convenience

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Problem 3027

Does failing to reject the null hypothesis mean that the null hypothesis is true? Explain.
Choose the correct answer. A. Yes. Failing to reject the null hypothesis means that there is enough evidence to reject it. B. No. Failing to reject the null hypothesis means that there is enough evidence to reject it. C. No. Failing to reject the null hypothesis means that there is not enough evidence to reject it. D. Yes. Failing to reject the null hypothesis means that there is not enough evidence to reject it.

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Problem 3028

Compare the population densities of Chautauqua County ( $\frac{135357}{1062}$ ) and Seneca County ( $\frac{34724}{325}$ ).

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Problem 3029

Given the populations for the world and India in 2030 and 2050, find:
(a) India's population change from 2030 to 2050.
(b) Change in India's percentage of the world population from 2030 to 2050.

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Problem 3030

Find the variance and standard deviation of this dataset: 1.00, 2.40, 3.60, 4.45, 4.50, 5.56, 6.89, 7.33, 8.99, 10.00.

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Problem 3031

Find the variance and standard deviation of this dataset: 1.00, 2.40, 3.60, 4.45, 4.50, 5.56, 6.89, 7.33, 8.99, 10.00. Options: a) 4.02, 1.12 b) 4.78, 2.21 c) 5.03, 1.35 d) 8.14, 2.85.

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Problem 3032

Which column shows a frequency statistic? a. Column 1 b. Column 2 c. Column 3 d. Column 4

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Problem 3033

What sampling method should a pollster use to get responses from all major religious groups? a. Cluster sampling b. Stratified sampling c. Systematic sampling d. Simple random sampling

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Problem 3034

Identify the graphical technique represented by the following data table:
5: 00001, 4: 23445, 3: , 2: 01233, 1: 456667.

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Problem 3035

What is the probability a randomly chosen first-year student is a Biology major? Options: a. $120 / 220$ , b. $120 / 270$ , c. $120 / 520$ , d. $270 / 520$

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Problem 3036

What is the probability that less than 2 of your 5 siblings will visit you, given probabilities for 0 to 5 visitors?

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Problem 3037

What is the 50th percentile of the dataset: 1.00, 2.40, 3.60, 4.45, 4.50, 5.56, 6.89, 7.33, 8.99, 10.00? a. 2.40 b. 3.60 c. 4.45 d. 4.50

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Problem 3038

What is the mode of the dataset: 1.00, 2.40, 3.60, 4.45, 4.50, 5.56, 6.89, 7.33, 8.99, 10.00? a. 1.00 b. 10.00 c. 1.00 and 10.00 d. The mode does not exist

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Problem 3039

What does an expected value of \$ 500 from buying five game tickets mean? a. 1 in 5 chance of winning b. 0.20 probability of winning \$ 500 c. Win \$ 500 from at least one ticket d. Average winnings from five tickets is \$ 500

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Problem 3040

Find the expression for the probability of 240 cars parked in Lot A, given the mean is 200. Options include: a. $\mathrm{e}^{240} / 200$ ! b. $240 ! / 200$ ! c. $\mathrm{e}^{-200} 200^{240} / 240$ ! d. $e^{-240} 240^{200} / 200$ !

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Problem 3041

Find the $z$ -score for a 90-pound dog given an average weight of 84 pounds and a standard deviation of 4 pounds.

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Problem 3042

What is the probability of getting a number between 0.57 and 0.85 from a uniform distribution between 0 and 1? a. $15 \%$ b. $28 \%$ c. $32 \%$ d. $57 \%$

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Problem 3043

650 students were surveyed about their favorite activities: swimming, tennis, and jogging.
(a) Students enjoying only swimming? (b) Students enjoying exactly two activities? (c) Students enjoying exactly one activity? (d) Students enjoying none? (e) Students enjoying at least two? (f) Students enjoying swimming or jogging, but not tennis? (g) Students enjoying swimming and jogging, but not tennis?

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Problem 3044

Estimate the number of students who attended class based on these estimates: 203, 216, 181, 225, 210, 193, 209, 197, 205, 217, 219, 194. Round to the nearest whole number.

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Problem 3045

Calculate Rosalind Company's return on assets given revenues of \$111,500, expenses of \$92,545, and assets of \$200,000 and \$246,000.

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Problem 3046

Find the percentage of the world's population in India for 2030 and 2050 using populations of $1,456.50$ M and $8,460.1$ M. Round to one decimal place.

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Problem 3047

In January 2012, 30 students reported gas mileage. What percentage get at least $30 \mathrm{mpg}$ ? Round to 2 decimal places.

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Problem 3048

Which score from the set $10, 20, 30, 40, 50, 60$ has a z score of 0.00? Choices: 10, 20, 30, 35, 50.

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Problem 3049

Find how many standard deviations above the mean a person with a $1 \mathrm{Q}$ of 130 scores.

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Problem 3050

Find the first data value for the 6 stem in the stem-and-leaf plot where the leaf unit is the tens place.

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Problem 3051

Find the percentile rank for an IQ score of 100 using the standard normal distribution (z-distribution).

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Problem 3052

Find the percentile for a score of 156 given a mean of 120 and a standard deviation of 12.

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Problem 3053

Find the proportion of scores in a $z$ distribution between $z = -1.00$ and $z = 1.00$ . Options: .2500, .6826, .3413, .5000.

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Problem 3054

Find the proportion of scores in a $\mathrm{z}$ distribution between $\mathrm{z} = -2.00$ and $\mathrm{z} = 0.00$ .

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Problem 3055

Find the first number in the stem-and-leaf plot for the stem 6.

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Problem 3056

Find the proportion of scores in a $z$ distribution between $z = 0.00$ and $z = 2.00$ . Options: .3413, .4772, .7500, .8176.

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Problem 3057

Find the proportion of SAT verbal scores between 400 and 600, given a mean of 500 and a standard deviation of 100.

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Problem 3058

Find the proportion of SAT verbal scores between 200 and $800$ using the $z$ distribution. Choices: .3413, .2500, .5000, .9970.

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Problem 3059

Find the z score that separates the lower 50% of the z distribution: 0.00, 1.96, $-1.00$ , or $-1.96$ ?

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Problem 3060

Identify a Type II error from these options: rejecting $H_0$ when $H_0$ is false, true, or not rejecting when true/false.

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Problem 3061

What term describes findings in an experiment that reach conventional statistical significance? Options: nonsignificant, insignificant, significant, unworthy.

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Problem 3062

Calculate the calories in Greek Key Lime Yogurt with 4.5g fat, 17g carbs, and 11g protein. What is the total?

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Problem 3063

Calculate the mean absolute deviation of the values 4, 15, 16, 7, 5, 19. Round to the nearest hundredth if needed.

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Problem 3064

Find the standard deviation of the monthly salaries (in \ $1000s):$ 8, 13, 11, 12, 6, 10$. Round to two decimal places.

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Problem 3065

Calculate the absolute and relative changes in Japan's population under 15 from 1980 (18.08\%) to 2020 (12.45\%).

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Problem 3066

A light bulb lasts $N(2000, 65)$ hours. Out of 590 bulbs, how many last < 1850 hours? Round to the nearest whole number.

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Problem 3067

In a town, 105 males are selected. With a mean of 130 and SD of 10, how many have systolic BP < 154?

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Problem 3068

In 37 trials of the 400m dash, how many times will Daniel finish between 60 and 63 seconds, given $\mu = 63$ and $\sigma = 1.5$ ?

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Problem 3069

Japan's population ages: Under 15 in 1980 is unclear (n) / 8.08%. Verify or correct this value. Over 65: 8.91% (1980), 23.32% (2020).

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Problem 3070

Find the absolute and relative changes in the population over 65 from 8.91% in 1980 to 23.32% in 2020. Round as specified.

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Problem 3071

Adrian, un niño de 10 años, necesita espirometría. Usa $V(t)=-3.5^{-t+1}+3.5$ y $F(x)=\left\{\begin{array}{cc}-13 x(x-1.5) & 0 \leq x<1.25 \\ -\frac{16}{9} x+\frac{56}{9} & 1.25 \leq x \leq 3.5\end{array}\right.$ . Grafica $F(x)$ , indica rangos de $V$ y $F$ , y analiza intervalos de aumento y disminución de velocidad.

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Problem 3072

Find the median of the set: $3, 2, 5, 6, 9, 1$ .

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Problem 3073

Calculate the range of the following traveler spending data (in billions): $20.9, 33.1, 21.8, 58.5, 23.5, 110.9, 30.4, 24.9, 74.1, 60.3, 40.4, 45.4$ . Round to two decimal places.

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Problem 3074

Two groups measure fall times for a ball. Find averages, percentage errors, standard deviations, and variances. Round to two decimals.

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Problem 3075

Find the expected number of times you wait over 44 minutes in 29 visits, given mean 42 min and SD 5 min.

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Problem 3076

Find how many days Mamadou's commute is between 23 and 25 minutes in a year, given mean 28 and SD 3.

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Problem 3077

Using Chebyshev's theorem, find the percentage of values between 40 and 120 for a mean of 80 and SD of 20.

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Problem 3078

Using Chebyshev's theorem, find the percentage of values between 40-120 and 45-115 for mean 80 and std dev 20.

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Problem 3079

Use Chebyshev's theorem for a mean of 80 and std dev of 20. Find % of values between 40-120 and 45-115.

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Problem 3080

Find the range for at least $75\%$ of Americans' online time using Chebyshev's theorem, with an average of 4 hours and SD of 27 min.

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Problem 3081

Find the range for online time where at least 75% of Americans lie, using Chebyshev's theorem. Average: 4 hrs, SD: 27 min.

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Problem 3082

Find the range, variance, and standard deviation for the data set: 23, 32, 31, 45, 25, 33, 44, 47, 37, 32, 37, 48, 47, 50, 22, 40, 30, 28, 22, 39. Range is 28. Use sample formulas.

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Problem 3083

Find the range, variance, and standard deviation of the data set: 23, 32, 31, 45, 25, 33, 44, 47, 37, 32, 37, 48, 47, 50, 22, 40, 30, 28, 22, 39. Use sample formulas.

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Problem 3084

Calculate the range, variance, and standard deviation of these scores: 25, 33, 24, 40, 25, 39, 17, 45, 20, 38, 36, 37, 25, 44, 29, 36, 28, 40, 36, 33.

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Problem 3085

Find the range, variance, and standard deviation for the data: 25, 33, 24, 40, 25, 39, 17, 45, 20, 38, 36, 37, 25, 44, 29, 36, 28, 40, 36, 33.

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Problem 3086

Find the boundaries for $95\%$ of SAT math scores, given an average of 523 and a standard deviation of 42.

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Problem 3087

SAT Scores: The 2011 math average was 523 with a standard deviation of 42.
(a) What are the boundaries for $95\%$ of scores? (b) What percentage of scores are above 565?

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Problem 3088

Calculate the range of traveler spending: 20.7, 33.2, 21.5, 58, 23.8, 110, 30.6, 24, 74, 60.8, 40.7, 45.5, 65.6. Round to two decimal places.

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Problem 3089

Calculate the variance for the numbers $20.7, 33.2, 21.5, 58, 23.8, 110, 30.6, 24, 74, 60.8, 40.7, 45.5, 65.6$ . Indicate if it's sample or population variance.

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Problem 3090

Find the range of the density data: 10.34, 10.58, 10.62. Average density is 10.51 g/cm³.

See Solution

Problem 3091

A tourist attraction is open 350 days. Given visitor data, graph it, find median, IQR, outliers, and days losing revenue.

See Solution

Problem 3092

Estimate the number of remotes in a box given:
Mass of box and remotes = 18,081 g, Mass of 15 remotes = 945 g, Mass of box = 567 g.
Round your answer using significant figures.

See Solution

Problem 3093

A farmer uses $1455 \mathrm{~kg}$ of fertilizer with $10.0\%$ nitrogen. If $15.0\%$ washes into a river flowing at $0.410$ ft³/s, find the nitrogen concentration in mg/L added to the river yearly.

See Solution

Problem 3094

You recorded age, marital status, and income of 1463 women. How many quantitative and categorical variables are there? a. 3 quantitative, 0 categorical. b. 3 quantitative, 1 categorical. c. 2 quantitative, 1 categorical. d. 2 quantitative, 2 categorical.

See Solution

Problem 3095

What does a standard deviation of 13 in exam scores mean? a. Scores are within 13 points of the mean. b. Highest and lowest scores differ by 13 points. c. Scores vary by 13 points. d. Scores vary from the mean by 13 points.

See Solution

Problem 3096

Find the average of the numbers: 7, 9, 7, 7, 6, 7, 6.

See Solution

Problem 3097

Find the average daily pay for Ben, given his earnings: \$78, \$94, \$115, \$108, \$67, \$78.

See Solution

Problem 3098

Calculate the mean score from the following data, rounded to the nearest tenth: 65 (9), 70 (2), 75 (6), 80 (2), 85 (3), 90 (7), 95 (7).

See Solution

Problem 3099

Calculate the annual growth rate of consumer credit (about \$85.27B) and predict values for 2015 and when it exceeds \$4000B.

See Solution

Problem 3100

Three students raced 100m. Order their times: Tiana: 13.1s, James: $1 \times 10+3 \times 1+2 \times\left(\frac{1}{10}\right)$ , Dakota: twelve and nine tenths. Options: (A) (B) (C) (D).

See Solution

1 ...28 29 30 31 32 33 34 ...63

Data & Statistics

Problem 3001

Problem 3002

Problem 3003

Problem 3004

Problem 3005

(λ),E(X+7),D(2X−5)(\lambda), E(X+7), D(2 X-5)(λ),E(X+7),D(2X−5) 3) 21 . Supozojme Cov⁡(X1−X2,X1+X2)=0\operatorname{Cov}\left(X_{1}-X_{2}, X_{1}+X_{2}\right)=0Cov(X1​−X2​,X1​+X2​)=0

Problem 3006

Problem 3007

Problem 3008

Problem 3009

Problem 3010

Problem 3011

Problem 3012

Problem 3013

Problem 3014

Problem 3015

Problem 3016

Problem 3017

Problem 3018

Problem 3019

Problem 3020

Problem 3021

Problem 3022

Problem 3023

Problem 3024

Problem 3025

15. Records show that the probability of seeing a hawk migrating on a day in September is about 35\%. What is the minimum number of days a person must watch to be at least 96.8%96.8 \%96.8% sure of seeing one or more hawks migrating? a) 5 b) 6 c) 7 d) 8 e) 9

Problem 3026

Problem 3027

Problem 3028

Compare the population densities of Chautauqua County (1353571062\frac{135357}{1062}1062135357​) and Seneca County (34724325\frac{34724}{325}32534724​).

Problem 3029

Given the populations for the world and India in 2030 and 2050, find:(a) India's population change from 2030 to 2050.(b) Change in India's percentage of the world population from 2030 to 2050.

Problem 3030

Find the variance and standard deviation of this dataset: 1.00, 2.40, 3.60, 4.45, 4.50, 5.56, 6.89, 7.33, 8.99, 10.00.

Problem 3031

Find the variance and standard deviation of this dataset: 1.00, 2.40, 3.60, 4.45, 4.50, 5.56, 6.89, 7.33, 8.99, 10.00. Options: a) 4.02, 1.12 b) 4.78, 2.21 c) 5.03, 1.35 d) 8.14, 2.85.

Problem 3032

Which column shows a frequency statistic? a. Column 1 b. Column 2 c. Column 3 d. Column 4

Problem 3033

What sampling method should a pollster use to get responses from all major religious groups? a. Cluster sampling b. Stratified sampling c. Systematic sampling d. Simple random sampling

Problem 3034

Identify the graphical technique represented by the following data table: 5: 00001, 4: 23445, 3: , 2: 01233, 1: 456667.

Problem 3035

What is the probability a randomly chosen first-year student is a Biology major? Options: a. 120/220120 / 220120/220, b. 120/270120 / 270120/270, c. 120/520120 / 520120/520, d. 270/520270 / 520270/520

Problem 3036

What is the probability that less than 2 of your 5 siblings will visit you, given probabilities for 0 to 5 visitors?

Problem 3037

What is the 50th percentile of the dataset: 1.00, 2.40, 3.60, 4.45, 4.50, 5.56, 6.89, 7.33, 8.99, 10.00? a. 2.40 b. 3.60 c. 4.45 d. 4.50

Problem 3038

What is the mode of the dataset: 1.00, 2.40, 3.60, 4.45, 4.50, 5.56, 6.89, 7.33, 8.99, 10.00? a. 1.00 b. 10.00 c. 1.00 and 10.00 d. The mode does not exist

Problem 3039

What does an expected value of \$ 500 from buying five game tickets mean? a. 1 in 5 chance of winning b. 0.20 probability of winning \$ 500 c. Win \$ 500 from at least one ticket d. Average winnings from five tickets is \$ 500

Problem 3040

Problem 3041

Find the zzz-score for a 90-pound dog given an average weight of 84 pounds and a standard deviation of 4 pounds.

Problem 3042

What is the probability of getting a number between 0.57 and 0.85 from a uniform distribution between 0 and 1? a. 15%15 \%15% b. 28%28 \%28% c. 32%32 \%32% d. 57%57 \%57%

Problem 3043

Problem 3044

Estimate the number of students who attended class based on these estimates: 203, 216, 181, 225, 210, 193, 209, 197, 205, 217, 219, 194. Round to the nearest whole number.

Problem 3045

Calculate Rosalind Company's return on assets given revenues of \$111,500, expenses of \$92,545, and assets of \$200,000 and \$246,000.

Problem 3046

Find the percentage of the world's population in India for 2030 and 2050 using populations of 1,456.501,456.501,456.50M and 8,460.18,460.18,460.1M. Round to one decimal place.

Problem 3047

In January 2012, 30 students reported gas mileage. What percentage get at least 30mpg30 \mathrm{mpg}30mpg? Round to 2 decimal places.

Problem 3048

Which score from the set 10,20,30,40,50,6010, 20, 30, 40, 50, 6010,20,30,40,50,60 has a z score of 0.00? Choices: 10, 20, 30, 35, 50.

Problem 3049

Find how many standard deviations above the mean a person with a 1Q1 \mathrm{Q}1Q of 130 scores.

Problem 3050

Find the first data value for the 6 stem in the stem-and-leaf plot where the leaf unit is the tens place.

Problem 3051

Find the percentile rank for an IQ score of 100 using the standard normal distribution (z-distribution).

Problem 3052

Find the percentile for a score of 156 given a mean of 120 and a standard deviation of 12.

Problem 3053

Find the proportion of scores in a zzz distribution between z=−1.00z = -1.00z=−1.00 and z=1.00z = 1.00z=1.00. Options: .2500, .6826, .3413, .5000.

$(\lambda), E(X+7), D(2 X-5)$ 3) 21 . Supozojme $\operatorname{Cov}\left(X_{1}-X_{2}, X_{1}+X_{2}\right)=0$

15. Records show that the probability of seeing a hawk migrating on a day in September is about 35\%. What is the minimum number of days a person must watch to be at least $96.8 \%$ sure of seeing one or more hawks migrating? a) 5 b) 6 c) 7 d) 8 e) 9

Compare the population densities of Chautauqua County ( $\frac{135357}{1062}$ ) and Seneca County ( $\frac{34724}{325}$ ).

Given the populations for the world and India in 2030 and 2050, find:
(a) India's population change from 2030 to 2050.
(b) Change in India's percentage of the world population from 2030 to 2050.

Identify the graphical technique represented by the following data table:
5: 00001, 4: 23445, 3: , 2: 01233, 1: 456667.

What is the probability a randomly chosen first-year student is a Biology major? Options: a. $120 / 220$ , b. $120 / 270$ , c. $120 / 520$ , d. $270 / 520$

Find the $z$ -score for a 90-pound dog given an average weight of 84 pounds and a standard deviation of 4 pounds.

What is the probability of getting a number between 0.57 and 0.85 from a uniform distribution between 0 and 1? a. $15 \%$ b. $28 \%$ c. $32 \%$ d. $57 \%$

Find the percentage of the world's population in India for 2030 and 2050 using populations of $1,456.50$ M and $8,460.1$ M. Round to one decimal place.

In January 2012, 30 students reported gas mileage. What percentage get at least $30 \mathrm{mpg}$ ? Round to 2 decimal places.

Which score from the set $10, 20, 30, 40, 50, 60$ has a z score of 0.00? Choices: 10, 20, 30, 35, 50.

Find how many standard deviations above the mean a person with a $1 \mathrm{Q}$ of 130 scores.

Find the proportion of scores in a $z$ distribution between $z = -1.00$ and $z = 1.00$ . Options: .2500, .6826, .3413, .5000.

Find the proportion of scores in a $\mathrm{z}$ distribution between $\mathrm{z} = -2.00$ and $\mathrm{z} = 0.00$ .

Find the proportion of scores in a $z$ distribution between $z = 0.00$ and $z = 2.00$ . Options: .3413, .4772, .7500, .8176.

Find the proportion of SAT verbal scores between 200 and $800$ using the $z$ distribution. Choices: .3413, .2500, .5000, .9970.

Find the z score that separates the lower 50% of the z distribution: 0.00, 1.96, $-1.00$ , or $-1.96$ ?

Identify a Type II error from these options: rejecting $H_0$ when $H_0$ is false, true, or not rejecting when true/false.

Find the standard deviation of the monthly salaries (in \ $1000s):$ 8, 13, 11, 12, 6, 10$. Round to two decimal places.

A light bulb lasts $N(2000, 65)$ hours. Out of 590 bulbs, how many last < 1850 hours? Round to the nearest whole number.

In 37 trials of the 400m dash, how many times will Daniel finish between 60 and 63 seconds, given $\mu = 63$ and $\sigma = 1.5$ ?

Find the median of the set: $3, 2, 5, 6, 9, 1$ .

Calculate the range of the following traveler spending data (in billions): $20.9, 33.1, 21.8, 58.5, 23.5, 110.9, 30.4, 24.9, 74.1, 60.3, 40.4, 45.4$ . Round to two decimal places.