Data & Statistics

Problem 3201

According to a poll, 674 out of 1061 randomly selected smokers polled believed they are discriminated against in public life or in employment because of their smoking a. What percentage of the smokers polled believed they are discriminated against because of their smoking? b. Check the conditions to determine whether the CLT can be used to find a confidence interval. c. Find a $95 \%$ confidence interval for the population proportion of smokers who believe they are discriminated against because of their smoking. d. Can this confidence interval be used to conclude that the majority of smokers believe they are discriminated against because of their smoking? Why or why non? a. The percentage of those taking the poll believed they are discriminated against because of their smoking is (Round to one decimal place as needed.) $\square$ \%. b. Check the conditions to determine whether you can apply the CLT to find a confidence interval.
The Random and Independent condition $\square$ reasonably be assumed to hold. The Large Sample condition $\square$ The Big Population condition $\square$ c. The $95 \%$ confidence interval is $\square$ . ). (Round to three decimal places as needed.)

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Problem 3202

4. Calcula la probabilidad de que al lanzar 2 dados se obtenga: a) Un par de un 1 b) en el primero un 1 y en el segundo no salga un 1 c) que la suma de ellos sea 8 d) que la diferencia de ellos sea 2 e) de que salga por lo menos un 5 . f) que uno de sus números sea mayor que 2 o que la suma de sus números sea menor que 4 . g) que sus números sumados sean 3,9 ó 12 .

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Problem 3203

Test 3 (Chapters 7 -9) om/Student/PlayerTest.aspx?testId=2643628178.centerwin=yes
A study of all the studonts at a small college showed a mean age of 20.5 and a standard deviation of 1.8 years a. Are these numbers statistics or parameters? Explain. b. Labol both numbers with their appropriate symbol (such as $\overline{\mathrm{x}}, \mu, \mathrm{s}$ , or $\sigma$ ). a. Choose the correct answer below. A. The numbers are statistics because they are estimates and not certain. B. The numbers are parameters because they are for all the students, not a sample. C. The numbers are statistics because they are for all the students, not a sample. D. The numbers are parameters because they are estimates and not certain. b. Choose the correct labels below. $\square$ $=20.5$ $\square$ $=1.8$ Assessment Details Calculator Webcam Chat Support

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Problem 3204

3. Dumbop Tires manufactures a tire with a lletime that approximately follows a nowmal ilistribution with a mean of $70,000 \mathrm{miles}$ and a standari deviation of 4400 mifles, a. What proporion of the tires will last for at least 75,000 miles? b. Sumpose that Dumlop warrants the tires for 60,000 miles. What proportion of tires will last 60,000 miles or less? c. What is the probability that a randomly selected tire lasts between 65,000 and 80,000 miles? d. Suppose that Dunlop wants to warrant no more than $2 \%$ of its tires. What mileage shomld the company advertise as its warranty milcage?

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Problem 3205

In a clinical study, volunteers are tested for a gene that has been found to increase the risk for a disease. The probability that a person carries the gene is 0.1 What is the probability FOUR OR MORE people will have to be tested before TWO with the gene are detected? (Round to the nearest two decimals 0.00)
Answer:

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Problem 3206

The mean age of all 627 used cars for sale in a newspyor one Saturday last month was 7.8 years, with a stardard deviation of 7.6 years. The distribution of agns is right-skened age of the 40 cars he samples is 8.4 years and the standard deviation of those 40 cars is 5.8 years. Complete parts a through c . (type integers or occimals.) c. Are the conditions for using the CLT (Central Limit Theorem) fulfilled? A. No, because the Normal condition is not fulfilled. B. No, because the random sample/independence and Normal conditions are not fulfilled. C. No, because the random samplelindependence condition is not fulfilled. D. Yes, all the conditions for using the CLT are fulfilled.
What would be the shape of the approximate sampling distribution of a large number of means, each from a sample of 40 cars? Normal Rinht-clement

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Problem 3207

Time left 0.0627
A multiple-choice test contains 24 questions, each with five answers. Assume a student just guesses on each question. what is the probability the student answers less than Four questions correctly? (Answer to the nearest three decimals 0.000).
Answer: $\square$ Next page

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Problem 3208

A hospital readmission is an episode when a patient who has been discharged from a hospital is readmitted again within a certain time period. Nationally the readmission rate for patients with pneumonia is $19 \%$ . A hospital was interested in knowing whether their readmission rate for preumonia was less than the national percentage. They found 9 patients out of 60 treated for pneumonia in a two-month period were readmitted. Complete parts (a) through (d) below. c. Find the value of the test statistic and explain it in context.
The test statistic is $\square$ (Type an integer or a decimal rounded to two decimal places as needed.) The value of the test statistic tells that the observed proportion of readmissions was $\square$ $\square$ $\square$ the null hypothesis proportion of readmissions. (Type an integer or a decimal rounded to two decimal places as needed.) d. The p-value associated with this test statistic is 0.21 . Explain the meaning of the $p$ -value in this context. Based on this result, does the p-value indicate the null hypothesis should be doubted? Select the correct choice below and fill in the answer box within your choice. (Type an integer or a decimal. Do not round.) A. The probability of getting 9 or fewer readmissions for pneumonia of a random sample of 60 patients with preumonia is $\square$ . assuming the population proportion is less than 0.19. B. The probability of getting 9 or fewer readmissions for pneumonia of a random sample of 60 patients with pneumonia is $\qquad$ , assuming the population proportion is 0.19.

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Problem 3209

A psychiatric nurse practitioner completes a study examining psychological distress scores, hours spent exercising, and number of counseling sessions to see if these variables impact minutes spent in ritualistic behavior among patients diagnosed with obsessive compulsive disorders. She reports the following information. \begin{tabular}{lll} & Beta & Sig \\ Psychological Distress & 3.98 & 0.040 \\ Exercise & -14.29 & 0.020 \\ Counseling Sessions & -1.45 & 0.031 \end{tabular}
If a patient engages in two hours of exercise what would you predict would happen to the number of minutes he/she spends in ritualistic behaviors? There would be no change in ritualistic behaviors The patient would engage in about 29 fewer minutes of ritualistic behaviors The patient would engage in about 15 minutes less of ritualistic behaviors. The patient would engage in about 20\% fewer minutes of ritualistic behaviors

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Problem 3210

3. If a random sample of 36 is obteined from a population with mean $=50$ and a standard deviation $=24$ , what is the mean and standard deviation of the sampling distribution?

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Problem 3211

A researcher wants to compare the mean engagement score for nurses enrolled in graduate vs. undergraduate degree programs. What test would you recommend she utilize? repeat measures ANOVA T-test for independent groups Pearson's Correlation Coefficient. Logistic Regression

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Problem 3212

2. In a replication of a study in which map reading skills were investigated, 20 men and 20 women completed the original map reading task and the researchers obtained the following data: \begin{tabular}{|l|l|} \hline Male map reading scores & \begin{tabular}{l} $17,20,13,12,13,11,8,17,12,15,14$ , \\ $18,20,17,17,15,13,10,5,9$ . \end{tabular} \\ \hline Female map reading scores & \begin{tabular}{l} $12,8,10,11,4,2,11,18,17,12,13,10$ , \\ $3,15,11,9,10,11,16,10$ . \end{tabular} \\ \hline \end{tabular}
The mean map reading score for both groups together was 12.23. a) What percentage of the male group scored above the mean score and what percentage of the femak group scored above the mean score? Show your calculations. [4 mark ] $\begin{array}{l} 12 \div 20 \times 100=60 \% \text { men } \\ 4 \div 20 * 100=20 \% \text { women } \end{array}$ b) Briefly explain one reason why it is important for research to be replicated. [2 mark

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Problem 3213

2. In a replication of a study in which map reading skills were investigated, 20 men and 20 women completed the original map reading task and the researchers obtained the following data: \begin{tabular}{|l|l|} \hline Male map reading scores & \begin{tabular}{l} $17,20,13,12,13,11,8,17,12,15,14$ , \\ \\ Female map reading scores \\ \hline \end{tabular} \\ \hline \end{tabular}
The mean map reading score for both groups together was 12.23. a) What percentage of the male group scored above the mean score and what percentage of the femals group scored above the mean score? Show your calculations. [4 marky $\begin{array}{l} 18 \div 20 \times 100=65 \% \text { men } \\ 6 \div 20 * 100=30 \% \text { women } \end{array}$ b) Briefly explain one reason why it is important for research to be replicated. [2 marks]

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Problem 3214

3. When comparing dream types for males and females, particularly in terms of social interaction, a psychologist found that there was a difference in the proportion of friendly and aggressive social interactions. This is shown in Table 1.
Table 1 Percentage of friendly and aggressive social interactions in dreams reported by males and females \begin{tabular}{|l|c|c|} \hline & Males & Females \\ \hline Friendly & $40 \%$ & $56 \%$ \\ \hline Aggressive & $60 \%$ & $44 \%$ \\ \hline \end{tabular} a) A total of 375 dreams reported by males included social interaction. Use the data in Table 1 to calculate how many of these dreams reported by males were classified as aggressive. Show your workings. [2 marks] $\qquad$ $\qquad$ $\qquad$ b) Draw a suitable graphical display to represent the data in Table 1. Label your graph appropriately. [4 marks]
Title $\qquad$

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Problem 3215

Question 11 1 pts
A two-way chi square analysis provides the following data: Chi square-obt of 6.23 with 89 total participants.
What is the phi coefficient? $0.26$

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Problem 3216

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 \\ $(\mathbf{m m ~ H g})$ \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} the gas becomes $\qquad$ \begin{tabular}{|c|} \hline three times larger \\ \hline \end{tabular}
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 2 and 5 Rows 1 and 4 Rows 3 and 4

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Problem 3217

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 \\ $\mathbf{( K )}$ \end{tabular} & \begin{tabular}{c} Pressur \\ $\mathbf{( m m} \mathbf{~ H g}$ \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 3218

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 quadruples (increases by a factor of four), the volume of \begin{tabular}{|c|c|c|} \hline Trial & \begin{tabular}{c} Temperature \\ $(\mathbf{K})$ \end{tabular} & \begin{tabular}{c} Volume \\ (mL) \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} the gas becomes $\qquad$ - $\square$

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Problem 3219

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 volume of the \begin{tabular}{|c|c|c|} \hline Trial & \begin{tabular}{c} Temperature \\ (K) \end{tabular} & \begin{tabular}{c} Volume \\ (L) \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} gas becomes $\qquad$ $\qquad$ Displaying option 5 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 3220

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 doubled, the volume of the gas becomes \begin{tabular}{|c|c|c|} \hline Trial & \begin{tabular}{c} Temperature \\ $(\mathbf{K})$ \end{tabular} & \begin{tabular}{c} Volume \\ $(\mathbf{m L})$ \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} two times larger

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Problem 3221

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 doubled, the volume of \begin{tabular}{|c|c|c|} \hline Trial & \begin{tabular}{c} Temperature \\ $(\mathbf{K})$ \end{tabular} & \begin{tabular}{c} Volume \\ (mL) \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} the gas becomes $\qquad$ $\qquad$ Displaying option 1 of 5.
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 3222

Consider the following frequency table representing the distribution of cost of a paperback book (in dollars). \begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{\begin{tabular}{c} Cost of a Paperback \\ Book (in Dollars) \end{tabular}} \\ \hline Class & Frequency \\ \hline $8.0-8.5$ & 9 \\ \hline $8.6-9.1$ & 10 \\ \hline $9.2-9.7$ & 6 \\ \hline $9.8-10.3$ & 4 \\ \hline $10.4-10.9$ & 10 \\ \hline \end{tabular}
Step 2 of 2: Determine the cumulative frequency for the second class.

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Problem 3223

Find the range and standard deviation of the set of diata $10,40,6,11.18$
The range is $\square$ (Simplify your answer) The standard deviation is $\square$ . (Round to the nearest hundredth as needed.)

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Problem 3224

According to the manufacturer's data, $4.6 \%$ of the items coming off the production line have a defect. A random sample of size 25 was obtained. Let $\widehat{p}$ be the proportion of the sample that have a defect. Explain why the Central Limit Theorem cannot be used Select an answer

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Problem 3225

Question 1. Assume that the following data set $\left\{\left(t, x_{t}\right)\right\}$ is from a stationary $\operatorname{AR}(1)$ time series with $\phi=0.78$ . \begin{tabular}{|c|c|c|c|c|c|c|c|c|} \hline $t$ & 1920 & 1925 & 1930 & 1935 & 1940 & 1945 & 1950 & 1955 \\ \hline $x_{t}$ & 0.112 & 0.88 & 0.68 & 0.53 & $?$ & 0.32 & $?$ & $?$ \\ \hline \end{tabular} a) Use the best linear predictor to estimate $x_{1940}$ using $x_{1935}$ . b) Use the best linear predictor to estimate $x_{1940}$ using $x_{1930}$ and $x_{1935}$ . c) Use the best linear predictor to estimate $x_{1940}$ using $x_{1935}$ and $x_{1945}$ . d) Use the best linear predictor to estimate $x_{1950}$ using $x_{1945}$ . e) Use the best linear predictor to estimate $x_{1955}$ .

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Problem 3226

The biggest cause of inventory loss, called shrinkage, is shoplifting, followed closely by employee theft. In one study, the nine countries with the highest shrinkage rates, measured in the dollar amount lost for every $\$ 100$ in sales, are as follows. \begin{tabular}{|c|c|c|c|c|c|c|c|c|} \hline Country & India & Russia & Morocco & South Africa & Brazil & Mexico & Thailand & Turkey \\ \hline \begin{tabular}{c} Shrinkage \\ Rate $(\$)$ \end{tabular} & 2.36 & 1.76 & 1.72 & 1.71 & 1.66 & 1.62 & 1.62 & 1.61 \\ \hline \end{tabular}
Let $A$ denote the set of countries that have a shrinkage rate greater than $\$ 1.65$ , let $B$ be the set of countries that have a shrinkage rate between $\$ 1.65$ and $\$ 1.73$ , and let $C$ be the set of countries that have a shrinkage rate less than $\$ 1.70$ . Find the following sets. (Let $I$ represent India, $R$ represent Russia, $M$ represent Morocco, $S$ represent South Africa, $B$ represent Brazil, $X$ represent Mexico, $H$ represent Thailand, and $T$ represent Turkey. Enter your answers using roster notation. Enter EMPTY or $\emptyset$ for the empty set.) (a) $A, B$ , and $C$ $A=$ $\square$ $B=$ $\square$ $C=$ $\square$ (b) $A \cap B$ $\square$ (c) $A^{C} \cap B$ $\square$ (d) $A \cap B^{C}$ $\square$

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Problem 3227

Determine the range and standard deviation of the prices of carnping tents shown below. $\$ 110, \$ 58, \$ 80, \$ 58, \$ 211, \$ 250, \$ 58, \$ 101, \$ 100$
The range of the prices is $\$$ $\square$ (Simplify your answer.)

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Problem 3228

Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. A safety administration conducted crash tests of child booster seats for cars. Listed below are results from those tests, with the measurements given in hic (standard head injury condition units). The safety requirement is that the hic measurement should be less than 1000 hic. Use a 0.05 significance level to test the claim that the sample is from a population with a mean less than 1000 hic. Do the results suggest that all of the child booster seats meet the specified requirement? $738$ 722 1238 648 566 570 A. $H_{0}: \mu=1000$ hic B. $H_{0}: \mu>1000$ hic $H_{1}: \mu \geq 1000$ hic $H_{1}: \mu<1000$ hic C. $H_{0}: \mu<1000$ hic D. $\mathrm{H}_{0}: \mu=1000$ hic $H_{1}: \mu \geq 1000$ hic $\mathrm{H}_{1}: \mu<1000$ hic
Identify the test statistic. $\mathrm{t}=$ $\square$ (Round to three decimal places as needed.)

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Problem 3229

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 $\alpha=0.05$ , can it be concluded that there is a difference in the lengths of the essays between the two groups?
Science majors $\begin{array}{lllllllllllll}2262 & 3162 & 2450 & 3533 & 2725 & 1776 & 2830 & 3765 & 3357 & 2356 & 3887 & 3416\end{array}$ Humanities majors \begin{tabular}{llllllllll} 2604 & 2069 & 2123 & 1468 & 1952 & 2573 & 1886 & 2921 & 2237 & 2757 \end{tabular}
Send data to Excel Use $\mu_{1}$ for the mean of science majors and $\mu_{2}$ for the mean of humanities majors. Assume the populations are normally distributed, and that the variances are unequal.
Part 1 of 5 (a) State the hypotheses and identify the claim with the correct hypothesis. $\begin{array}{l} H_{0}: \mu_{1}=\mu_{2} \text { not claim } \\ H_{1}: \mu_{1} \neq \mu_{2} \text { claim } \end{array}$
This hypothesis test is a two-tailed $\quad$ test.
Part: $1 / 5$
Part 2 of 5 (b) Find the critical value. Round the answer(s) to at least three decimal places. If there is more than one critical value, separate them with commas.
Critical value(s): $\square$

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Problem 3230

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 $\alpha=0.05$ , can it be concluded that there is a difference in the lengths of the essays between the two groups? Science majors \begin{tabular}{lllllllllllll} 2262 & 3162 & 2450 & 3533 & 2725 & 1776 & 2830 & 3765 & 3357 & 2356 & 3887 & 3416 \end{tabular}
Humanities majors $\begin{array}{llllllllll} \hline 2604 & 2069 & 2123 & 1468 & 1952 & 2573 & 1886 & 2921 & 2237 & 2757 \end{array}$
Send data to Excel
Use $\mu_{1}$ for the mean of science majors and $\mu_{2}$ for the mean of humanities majors. Assume the populations are normally distributed, and that the variances are unequal.
Part 1 of 5 (a) State the hypotheses and identify the claim with the correct hypothesis. $\begin{array}{l} H_{0}: \mu_{1}=\mu_{2} \text { not claim } \\ H_{1}: \mu_{1} \neq \mu_{2} \text { claim } \end{array}$
This hypothesis test is a two-tailed $\quad$ test.
Part 2 of 5 (b) Find the critical value. Round the answer(s) to at least three decimal places. If there is more than one critical value, separate them with commas.
Critical value(s): $2.262,-2.262$
Part: $2 / 5$
Part 3 of 5 (c) Compute the test value. Round your answer to at least three decimal places. $t=\square$

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Problem 3231

Number of Farms A random sample of the number of farms (in thousands) in various states follows. Estimate the mean number of farms per state with $99 \%$ confidence. Assume $\sigma=31$ . Round intermediate and final answers to one decimal place. Assume the population is normally distributed. $\begin{array}{ccccccccccc} 4 & 64 & 33 & 54 & 95 & 47 & 50 & 40 & 109 & 78 & 6 \\ 52 & 21 & 15 & 7 & 68 & 16 & 48 & 79 & 44 & & \end{array}$ Send data to Excel $\square<\mu<\square$

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Problem 3232

What is the independent variable in a correlational study of amounts of sunlight and the heights of tomato plants? the types of tomato plants the heights of the tomato plants the angle of the sun the numbers of hours of sunlight

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Problem 3233

The correlation coefficient for weed growth in a lake and temperature was found to be 0.915. The scatter plot for the data would have dots tightly clustered around a line sloping up to the right The scatter plot for the data would have dots clustered around a line sloping up to the left The scatter plot for the data would have an array of dots with no discernible pattern to them The scatter plot for the data would have a cluster of dots in the middle of the graph

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Problem 3234

Operating cash inflows Strong Tool Company has been considering purchasing a new lathe to replace a fully depreciated lathe that would otherwise last 5 more years. The new lathe is expected to have a 5-year life and depreciation charges of $\$ 2,380$ in Year 1, $\$ 3,808$ in Year 2; $\$ 2,261$ in Year 3; $\$ 1,428$ in both Year 4 and Year 5; and $\$ 595$ in Year 6 . The firm estimates the revenues and expenses (excluding depreciation and interest) for the new and the old lathes to be as shown in the following table a. Calculate the operating cash inflows associated with each lathe. (Note Be sure to consider the depreciation in year 6 .) b. Calculate the operating cash inflows resulting from the proposed lathe replacement. c. Depict on a time line the incremental operating cash inflows calculated in part b. a. Calculate the operating cash inflows associated with the new lathe belo \begin{tabular}{|c|c|} \hline Year & 1 \\ \hline Revenue & \$ \\ \hline Expenses (excluding depreciation and interest) & \$ \\ \hline Profit before depreciation and taxes & \$ \\ \hline Depreciation & \$ \\ \hline Net profit before taxes & \$ \\ \hline Taxes & \$ \\ \hline Net profit after taxes & \$ \\ \hline Operating cash flows & \$ \\ \hline \end{tabular}
Data table \begin{tabular}{|c|c|c|c|c|} \hline \multicolumn{5}{|l|}{(Click on the icon here in order to copy the contents of the data table below into a spreadsheet)} \\ \hline & \multicolumn{2}{|r|}{New Lathe} & \multicolumn{2}{|c|}{Old Lathe} \\ \hline Year & Revenue & \begin{tabular}{l} Expenses \\ (excluding depreciation and interest) \end{tabular} & Revenue & \begin{tabular}{l} Expenses \\ (excluding depreciation and interest) \end{tabular} \\ \hline 1 & \$39,700 & \$30,100 & \$34,800 & \$23,800 \\ \hline 2 & 40,700 & 30,100 & 34,800 & 23,800 \\ \hline 3 & 41,700 & 30,100 & 34,800 & 23,800 \\ \hline 4 & 42,700 & 30,100 & 34,800 & 23,800 \\ \hline 5 & 43,700 & 30,100 & 34,800 & 23,800 \\ \hline \end{tabular}

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Problem 3235

Calculate the probability $\mathrm{P}(0.58<\mathrm{z}<1.74)$ for a Standard Normal Random Variable using the tables.

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Problem 3236

Analyze if the claim "Average planetary temperature decreases as distance from the Sun increases" is supported by the data provided.

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Problem 3237

Count the significant digits in these measurements: $3.2 \times 10^{-2} \mathrm{~mL}$ , $0.009500 \mathrm{~J}$ , $-1.0 \times 10^{-1} \mathrm{~kJ/mol}$ , $92500 \mathrm{~kg}$ .

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Problem 3238

Find the average bonus for 6 employees at \$940, 4 at \$820, and 5 at \$1,150.

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Problem 3239

Randi earned \$18,400, \$19,700, and \$21,600 over three years.
6. Find total earnings for three years.
7. Find average earnings per year.
8. What must she earn next year for a four-year average of \$21,000?

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Problem 3240

Randi earned \$18,400, \$19,700, and \$21,600. What are her total earnings for 3 years, average earnings, and next year's target for \$21,000 average?

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Problem 3241

The histogram shows test scores of 30 students. Answer these questions:
1. Count students in $91-100$ .
2. Count students in $61-70$ .
3. What percent scored $91-100$ ?

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Problem 3242

Estimate the mean survival time (in months) for 21 multiple myeloma patients treated with Thalidomide using the given frequency data.

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Problem 3243

A tree company's delivery fee varies with the number of trees. Why is the cost function nonlinear? Consider the rates of change.

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Problem 3244

Analyze the customer wait data for 40 Saturdays at Bobak's. Are they discrete or continuous? Choose A, B, C, or D.

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Problem 3245

In a debate tournament with 175 students, the ratio of Illinois to Michigan students is $6:5$ . How many were from Michigan? Indiana?

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Problem 3246

At a debate tournament with 175 students, if the ratio of Illinois to Michigan students is $6:5$ , find Michigan and Indiana students.

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Problem 3247

(a) What is the most common year of birth reported by the football team? Mean, Median, or Mode? (b) For the data set 28,29,31,32,33,34,35,36,39, which measure summarizes it best? Mean, Median, or Mode? (c) For the ratings 40,41,44,46,48,50,51,52,87, which measure summarizes it best? Mean, Median, or Mode?

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Problem 3248

Analyze the disposable income data for 25 cities.
(a) What analysis do you need to perform?
(b) Calculate the mean, median, mode, or range.

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Problem 3249

Identify the line of fit among $y=1.6 x+1.75$ , $y=4.25 x+1.75$ , $y=4.4 x+1.75$ , $y=3.3 x+1.75$ . Estimate $y$ for $x=15$ .

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Problem 3250

Find the line of best fit for Florida's population $y$ (in millions) after 2013, using years $x$ . Round slope to 3 decimal places and $y$ -intercept to 2 decimal places.

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Problem 3251

Find the percent of 3,408 students at Van Buren High with incomes between \$1,000 and \$2,000, and those under \$800.

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Problem 3252

Find the z-scores for vacation expenses of \$ 197, \$ 277, and \$ 310, given average \$ 247 and SD \$ 60.

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Problem 3253

Find the percentage of riders at Splash City Water Park who go on more than 10 rides, given a normal distribution with mean 8.4 and SD 2. Round to the nearest percent.

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Problem 3254

Calculate the mean of Ashley's friends' expenses: \$ 2,800, \$ 1,990, \$ 2,005, \$ 2,400, \$ 1,860, \$ 2,200, \$ 2,000. Is it higher or lower than \$ 2,110? What must Ashley spend for the average to be \$ 2,110?

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Problem 3255

Key Club students at Peconic High made trips to Echo Beach.
a. Total students? b. Find mean, median, mode, range, variance, and standard deviation (round to 1 decimal). c. For a normal distribution with mean 6.2 and SD 2, what % went >8 times? (round to nearest %) d. What % went 5-7 times? (round to nearest %)

See Solution

Problem 3256

Shannon's train fares from NYC to D.C. are: 49, 88, 119, 133, 161, 173, 272. Find the percentile ranks for \$119 and \$272, then identify the fare with a rank of about 82\%.

See Solution

Problem 3257

At Van Buren High, students' summer incomes are normally distributed: mean \$1,751, SD \$421. Find: a. Percent with incomes between \$1,000 and \$2,000? b. Students with incomes less than \$800?

See Solution

Problem 3258

What is the probability that the next three blood donors all have Type A blood if $40\%$ of the population has it?

See Solution

Problem 3259

Calculate total sample size ( $n$ ), sum of sample values ( $\Sigma x$ ), and sum of squared values ( $\sum X^{2}$ ) for given data.

See Solution

Problem 3260

Create frequency distribution tables for scores from 'Low Number-Talk Parents' ( $2,1,2,3,4,3,3,2,2,1,5,3,4,1,2$ ) and 'High Number-Talk Parents' ( $3,4,5,4,5,4,2,3,5,4,5,3,4,5,4$ ).

See Solution

Problem 3261

Find the atomic weight of an element with isotopes: $120.9038 \mathrm{amu}$ (57.25\% abundance) and $122.8831 \mathrm{amu}$ .

See Solution

Problem 3262

Predict heart weight (g) from body weight (kg) using regression.
(i) (a) Model: $\hat{y}=-0.339+4.028 x$ (b) Intercept: Expected heart weight at 0 kg is $-0.339$ g. (c) Slope: Each kg increases heart weight by 4.028 g. (d) $R^{2}$ : Body weight explains $64.65\%$ of heart weight variability. (e) Correlation coefficient: $0.8049$

See Solution

Problem 3263

Calculate expected values under the null hypothesis for party affiliation and support of full-body scans.
(a) Expectation for Republicans not supporting: $48$ (b) Expectation for Democrats supporting: $?$ (c) Expectation for Independents unsure: $22$

See Solution

Problem 3264

Analyze responses from 825 voters on oil drilling in CA. Perform a chi-square test for college grads vs non-grads at $\alpha = 0.05$ . State hypotheses, calculate test statistic (2 decimal places), and find $p$ -value (3 decimal places). Note data discrepancies.

See Solution

Problem 3265

Find the sum of the weighted average and the mode of these home costs: 6 homes at \$65000, 8 homes at \$85000, 6 homes at \$105000.

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Problem 3266

Survey skiers' preferences for ski areas. Test if preference is independent of skill level at $\alpha=0.05$ . Find test statistic and $p$ -value.

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Problem 3267

What is the probability that Myra picks a metallic blue bracelet from 22 total bracelets: 11 gold, 6 emerald, and the rest blue?

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Problem 3268

An outdoor concert arena's attendance drops with snow. Analyze data and answer:
(a) Is a linear model appropriate? Yes/No (b) Find slope and $y$ -intercept: Attendance $=$ (Inches of Snow) + (c) Predict attendance for 9.1 inches of snow.

See Solution

Problem 3269

What percent of a 40-day period was a student tardy if they were marked tardy 5 times? Calculate: $\frac{5}{40} \times 100$ .

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Problem 3270

Calculate the sum: $\frac{(155-151.49)^{2}}{151.49} + \frac{(131-134.51)^{2}}{134.51} + \frac{(179-161.03)^{2}}{161.03} + \frac{(125-142.97)^{2}}{142.97} + \frac{(103-124.48)^{2}}{124.48} + \frac{(132-110.52)^{2}}{110.52}$ .

See Solution

Problem 3271

A survey of 825 California voters examines opinions on offshore drilling. Perform a chi-square test with $H_{0}$ : no difference, $H_{A}$ : difference. Test statistic is 12.32; confirm and find the $p$ -value.

See Solution

Problem 3272

Test if skier level and preferred ski area are independent at $\alpha = 0.05$ . Calculate test statistic, p-value, and conclusions.

See Solution

Problem 3273

What is the probability of winning a lottery by matching 5 numbers from 1 to 43 and 1 from 1 to 34 with one ticket?

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Problem 3274

A box has 12 transistors (5 defective). Find the probability for selecting 5: a. all defective, b. none defective.

See Solution

Problem 3275

In a lottery, players pick 4 numbers from 1 to 54 and 1 from 1 to 43. What is the probability of winning at least \$300?

See Solution

Problem 3276

Find the slope of the best fit line for clubhead speeds (mph) and distances (yards) from 20 games data.

See Solution

Problem 3277

Find the probability of drawing 3 clubs from a 52-card deck. Round to six decimal places.

See Solution

Problem 3278

Find the probability that all 3 dealt cards are clubs from a 52-card deck.
$P(\text{all 3 cards are clubs}) = ?$

See Solution

Problem 3279

Find the probability of drawing 4 clubs from a 52-card deck. Round your answer to six decimal places.

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Problem 3280

A concert venue seats 7,500. Analyze snow vs. attendance data, then: (a) Is a linear model suitable? Yes/No (b) Find slope and $y$ -intercept: Attendance $=$ (Inches of Snow) + (c) Predict attendance with 9.1 inches of snow: $\times$ people.

See Solution

Problem 3281

Calculate students per teacher for West (438 students, 22 teachers) and East (697 students, 27 teachers). Discuss proportionality.

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Problem 3282

Find the percent of the sum of the two least box tops collected compared to the two most: Rooms 100, 159, 206, 215.

See Solution

Problem 3283

Find the percent of the sum of the lowest two box tops collected compared to the highest two. Rooms: 600, 1000, 300, 800. Options: (A) 30%, (B) 50%, (C) 65%, (D) 70%, (E) 80%.

See Solution

Problem 3284

Given the car's velocity at times $0-8$ seconds: $10,15,20,25,30,30,30,15,0$ .
1. Direction from $0-4$ seconds?
2. Direction from $4-6$ seconds?
3. Direction from $6-8$ seconds?
4. Acceleration from $4-6$ seconds?

See Solution

Problem 3285

Analyze the scatter plot of calories vs. fat in chicken sandwiches. What association is indicated by increasing grams and calories?

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Problem 3286

The concert venue's attendance drops with snow. Analyze data, find the regression line, and predict attendance at 9.1 inches.
(a) Is a linear model suitable? Yes/No (b) Find slope and $y$ -intercept: Attendance $=$ (Inches of Snow) + (c) Predict attendance with 9.1 inches of snow (nearest integer).

See Solution

Problem 3287

Given a car's velocity vs. time graph:
Time (s): 0, 1, 2, 3, 4, 5, 6, 7, 8 Velocity (m/s): 0, -10, -20, -30, -40, -40, -40, -20, 0
1. Direction from $0-4$ seconds?
2. Direction from $6-8$ seconds?
3. Acceleration from $6-8$ seconds?
4. Displacement from $4-6$ seconds?
5. Describe a scenario for this car's motion.

See Solution

Problem 3288

Which aspect of a statistical study does the statement about cohabitation and divorce refer to: Inference, Design, or Description?

See Solution

Problem 3289

A study of 27,000 individuals tested if a herbal supplement reduces asthma attacks. What aspects relate to design and description?

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Problem 3290

What type of statistics is it when $90 \%$ of taste testers prefer the new coffee brand? Options: Investigation, Description, Design, Inference, None.

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Problem 3291

A golfer has data on clubhead speeds (mph) and distances (yards) for 20 games. What analysis should be done: correlation, averages, or something else?

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Problem 3292

A survey asked 857 people about their pets. Identify (a) the sample, (b) the population, and (c) the statistic. What is the sample? A. The public in the country. B. People who didn't respond. C. The 857 respondents. D. The $9\%$ with 1 pet.

See Solution

Problem 3293

A survey asked 857 people about their pets. Identify the sample, population, and statistic: (a) sample? (b) population? (c) statistic?

See Solution

Problem 3294

A survey of 857 people asked about pet ownership. Identify (a) sample, (b) population, and (c) statistic ( $9\%$ with 1 pet).

See Solution

Problem 3295

Identify the subject, sample, and population for the government study on model A midsized cars. What is the subject? A. new model A cars B. midsized cars C. new midsized cars D. model A cars

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Problem 3296

Identify the subject, sample, and population for a study on model A midsized cars' emissions and mileage.
(a) Subject: A. new model A midsized cars (b) Sample: D. few new model A midsized cars chosen for study

See Solution

Problem 3297

Identify (a) subject, (b) sample, and (c) population for model A midsized cars used in a pollution study.

See Solution

Problem 3298

A historian finds marriage records from 1800-1820. Answer these: a) Descriptive summary? b) Inference? c) Population? d) Is 26.1 a statistic or parameter?

See Solution

Problem 3299

Are the populations the same if two different samples of 10 students support single sex classrooms? A. No, B. Yes, C. Yes, D. No.

See Solution

Problem 3300

Two students sample 10 each to find support for single sex classrooms. Answer parts a and b about their populations.

See Solution

1 ...30 31 32 33 34 35 36 ...63

Data & Statistics

Problem 3201

Problem 3202

Problem 3203

Problem 3204

Problem 3205

Problem 3206

Problem 3207

Time left 0.0627A multiple-choice test contains 24 questions, each with five answers. Assume a student just guesses on each question. what is the probability the student answers less than Four questions correctly? (Answer to the nearest three decimals 0.000).Answer: □\square□ Next page

Problem 3208

Problem 3209

Problem 3210

3. If a random sample of 36 is obteined from a population with mean =50=50=50 and a standard deviation =24=24=24, what is the mean and standard deviation of the sampling distribution?

Problem 3211

A researcher wants to compare the mean engagement score for nurses enrolled in graduate vs. undergraduate degree programs. What test would you recommend she utilize? repeat measures ANOVA T-test for independent groups Pearson's Correlation Coefficient. Logistic Regression

Problem 3212

Problem 3213

Problem 3214

Problem 3215

Question 11 1 ptsA two-way chi square analysis provides the following data: Chi square-obt of 6.23 with 89 total participants.What is the phi coefficient? 0.260.260.26

Problem 3216

Problem 3217

Problem 3218

Problem 3219

Problem 3220

Problem 3221

Problem 3222

Problem 3223

Find the range and standard deviation of the set of diata 10,40,6,11.1810,40,6,11.1810,40,6,11.18The range is □\square□ (Simplify your answer) The standard deviation is □\square□ . (Round to the nearest hundredth as needed.)

Problem 3224

Problem 3225

Problem 3226

Problem 3227

Problem 3228

Problem 3229

Problem 3230

Problem 3231

Problem 3232

What is the independent variable in a correlational study of amounts of sunlight and the heights of tomato plants? the types of tomato plants the heights of the tomato plants the angle of the sun the numbers of hours of sunlight

Problem 3233

Problem 3234

Problem 3235

Calculate the probability P(0.58<z<1.74)\mathrm{P}(0.58<\mathrm{z}<1.74)P(0.58<z<1.74) for a Standard Normal Random Variable using the tables.

Problem 3236

Analyze if the claim "Average planetary temperature decreases as distance from the Sun increases" is supported by the data provided.

Problem 3237

Count the significant digits in these measurements: 3.2×10−2 mL3.2 \times 10^{-2} \mathrm{~mL}3.2×10−2 mL, 0.009500 J0.009500 \mathrm{~J}0.009500 J, −1.0×10−1 kJ/mol-1.0 \times 10^{-1} \mathrm{~kJ/mol}−1.0×10−1 kJ/mol, 92500 kg92500 \mathrm{~kg}92500 kg.

Problem 3238

Find the average bonus for 6 employees at \$940, 4 at \$820, and 5 at \$1,150.

Problem 3239

Randi earned \$18,400, \$19,700, and \$21,600 over three years. 6. Find total earnings for three years. 7. Find average earnings per year. 8. What must she earn next year for a four-year average of \$21,000?

Problem 3240

Randi earned \$18,400, \$19,700, and \$21,600. What are her total earnings for 3 years, average earnings, and next year's target for \$21,000 average?

Problem 3241

The histogram shows test scores of 30 students. Answer these questions: 1. Count students in 91−10091-10091−100.2. Count students in 61−7061-7061−70.3. What percent scored 91−10091-10091−100?

Problem 3242

Estimate the mean survival time (in months) for 21 multiple myeloma patients treated with Thalidomide using the given frequency data.

Problem 3243

A tree company's delivery fee varies with the number of trees. Why is the cost function nonlinear? Consider the rates of change.

Problem 3244

Analyze the customer wait data for 40 Saturdays at Bobak's. Are they discrete or continuous? Choose A, B, C, or D.

Problem 3245

In a debate tournament with 175 students, the ratio of Illinois to Michigan students is 6:56:56:5. How many were from Michigan? Indiana?

Problem 3246

At a debate tournament with 175 students, if the ratio of Illinois to Michigan students is 6:56:56:5, find Michigan and Indiana students.

Problem 3247

Problem 3248

Analyze the disposable income data for 25 cities. (a) What analysis do you need to perform? (b) Calculate the mean, median, mode, or range.

Problem 3249

Identify the line of fit among y=1.6x+1.75y=1.6 x+1.75y=1.6x+1.75, y=4.25x+1.75y=4.25 x+1.75y=4.25x+1.75, y=4.4x+1.75y=4.4 x+1.75y=4.4x+1.75, y=3.3x+1.75y=3.3 x+1.75y=3.3x+1.75. Estimate yyy for x=15x=15x=15.

Problem 3250

Find the line of best fit for Florida's population yyy (in millions) after 2013, using years xxx. Round slope to 3 decimal places and yyy-intercept to 2 decimal places.

Problem 3251

Find the percent of 3,408 students at Van Buren High with incomes between \$1,000 and \$2,000, and those under \$800.

Problem 3252

Find the z-scores for vacation expenses of \$ 197, \$ 277, and \$ 310, given average \$ 247 and SD \$ 60.

Problem 3253

Find the percentage of riders at Splash City Water Park who go on more than 10 rides, given a normal distribution with mean 8.4 and SD 2. Round to the nearest percent.

Problem 3254

Calculate the mean of Ashley's friends' expenses: \$ 2,800, \$ 1,990, \$ 2,005, \$ 2,400, \$ 1,860, \$ 2,200, \$ 2,000. Is it higher or lower than \$ 2,110? What must Ashley spend for the average to be \$ 2,110?

Time left 0.0627
A multiple-choice test contains 24 questions, each with five answers. Assume a student just guesses on each question. what is the probability the student answers less than Four questions correctly? (Answer to the nearest three decimals 0.000).
Answer: $\square$ Next page

3. If a random sample of 36 is obteined from a population with mean $=50$ and a standard deviation $=24$ , what is the mean and standard deviation of the sampling distribution?

Question 11 1 pts
A two-way chi square analysis provides the following data: Chi square-obt of 6.23 with 89 total participants.
What is the phi coefficient? $0.26$

Find the range and standard deviation of the set of diata $10,40,6,11.18$
The range is $\square$ (Simplify your answer) The standard deviation is $\square$ . (Round to the nearest hundredth as needed.)

Calculate the probability $\mathrm{P}(0.58<\mathrm{z}<1.74)$ for a Standard Normal Random Variable using the tables.

Count the significant digits in these measurements: $3.2 \times 10^{-2} \mathrm{~mL}$ , $0.009500 \mathrm{~J}$ , $-1.0 \times 10^{-1} \mathrm{~kJ/mol}$ , $92500 \mathrm{~kg}$ .

Randi earned \$18,400, \$19,700, and \$21,600 over three years.
6. Find total earnings for three years.
7. Find average earnings per year.
8. What must she earn next year for a four-year average of \$21,000?

The histogram shows test scores of 30 students. Answer these questions:
1. Count students in $91-100$ .
2. Count students in $61-70$ .
3. What percent scored $91-100$ ?

In a debate tournament with 175 students, the ratio of Illinois to Michigan students is $6:5$ . How many were from Michigan? Indiana?

At a debate tournament with 175 students, if the ratio of Illinois to Michigan students is $6:5$ , find Michigan and Indiana students.

Analyze the disposable income data for 25 cities.
(a) What analysis do you need to perform?
(b) Calculate the mean, median, mode, or range.

Identify the line of fit among $y=1.6 x+1.75$ , $y=4.25 x+1.75$ , $y=4.4 x+1.75$ , $y=3.3 x+1.75$ . Estimate $y$ for $x=15$ .

Find the line of best fit for Florida's population $y$ (in millions) after 2013, using years $x$ . Round slope to 3 decimal places and $y$ -intercept to 2 decimal places.

What is the probability that the next three blood donors all have Type A blood if $40\%$ of the population has it?

Calculate total sample size ( $n$ ), sum of sample values ( $\Sigma x$ ), and sum of squared values ( $\sum X^{2}$ ) for given data.

Create frequency distribution tables for scores from 'Low Number-Talk Parents' ( $2,1,2,3,4,3,3,2,2,1,5,3,4,1,2$ ) and 'High Number-Talk Parents' ( $3,4,5,4,5,4,2,3,5,4,5,3,4,5,4$ ).

Find the atomic weight of an element with isotopes: $120.9038 \mathrm{amu}$ (57.25\% abundance) and $122.8831 \mathrm{amu}$ .

Calculate expected values under the null hypothesis for party affiliation and support of full-body scans.
(a) Expectation for Republicans not supporting: $48$ (b) Expectation for Democrats supporting: $?$ (c) Expectation for Independents unsure: $22$

Analyze responses from 825 voters on oil drilling in CA. Perform a chi-square test for college grads vs non-grads at $\alpha = 0.05$ . State hypotheses, calculate test statistic (2 decimal places), and find $p$ -value (3 decimal places). Note data discrepancies.

Survey skiers' preferences for ski areas. Test if preference is independent of skill level at $\alpha=0.05$ . Find test statistic and $p$ -value.

An outdoor concert arena's attendance drops with snow. Analyze data and answer:
(a) Is a linear model appropriate? Yes/No (b) Find slope and $y$ -intercept: Attendance $=$ (Inches of Snow) + (c) Predict attendance for 9.1 inches of snow.

What percent of a 40-day period was a student tardy if they were marked tardy 5 times? Calculate: $\frac{5}{40} \times 100$ .

A survey of 825 California voters examines opinions on offshore drilling. Perform a chi-square test with $H_{0}$ : no difference, $H_{A}$ : difference. Test statistic is 12.32; confirm and find the $p$ -value.

Test if skier level and preferred ski area are independent at $\alpha = 0.05$ . Calculate test statistic, p-value, and conclusions.