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A chain of taco restaurants claims that the population mean of the wait times in their drive-thru for all customers is minutes. You work for a competitor and you want to test that claim. To do so, you select a random sample of 40 of the chain's drive-thru customers and record the wait time in the drive-thru for each. Assume it is known that the population standard deviation of the wait times in the drive-thru for the taco chain's restaurants is 2.79 minutes. Based on your sample, follow the steps below to construct a 99% confidence interval for the population mean of the wait times in the drive-thru for all customers. Then state whether the confidence interval you construct contradicts the restaurant chain's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results from your random sample of 40 customers. Take Sample Sample size: 0 Peint estimate: 0 Population standard deviation: 0 Enter the values of the sample size, the point estimate for the population mean, the population standard deviation, and the critical value you need for your 99% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Critical value: 0 Number of customers Compute Sample mean Sample standard deviation 2.39 Standard error: Margin of error: Population standard deviation 2.79 99% confidence interval: Critical values Tacos 2.576 Fam-2.326 Foas 1.960 Foose1.645 Fam-1.282 M

A chain of taco restaurants claims that the population mean of the wait times in their drive-thru for all customers is minutes. You work for a competitor and you want to test that claim. To do so, you select a random sample of 40 of the chain's drive-thru customers and record the wait time in the drive-thru for each. Assume it is known that the population standard deviation of the wait times in the drive-thru for the taco chain's restaurants is 2.79 minutes. Based on your sample, follow the steps below to construct a 99% confidence interval for the population mean of the wait times in the drive-thru for all customers. Then state whether the confidence interval you construct contradicts the restaurant chain's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results from your random sample of 40 customers. Take Sample Sample size: 0 Peint estimate: 0 Population standard deviation: 0 Enter the values of the sample size, the point estimate for the population mean, the population standard deviation, and the critical value you need for your 99% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Critical value: 0 Number of customers Compute Sample mean Sample standard deviation 2.39 Standard error: Margin of error: Population standard deviation 2.79 99% confidence interval: Critical values Tacos 2.576 Fam-2.326 Foas 1.960 Foose1.645 Fam-1.282 M

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A chain of taco restaurants claims that the population mean of the wait times in their drive-thru for all customers is minutes. You work for a competitor and you want to test that claim. To do so, you select a random sample of 40 of the chain's drive-thru customers and record the wait time in the drive-thru for each. Assume it is known that the population standard deviation of the wait times in the drive-thru for the taco chain's restaurants is 2.79 minutes. Based on your sample, follow the steps below to construct a 99% confidence interval for the population mean of the wait times in the drive-thru for all customers. Then state whether the confidence interval you construct contradicts the restaurant chain's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results from your random sample of 40 customers. Take Sample Sample size: 0 Point estimate: Population standard deviation: 0 Enter the values of the sample size, the point estimate for the population mean, the population standard deviation, and the critical value you need for your 99% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Critical value: 0 Compute 0.00 Number of customers 40 F 0.00 Sample mean Sample standard deviation 2.39 2.00 3.94 Critical values 70.005-2.576 Foose-2.326 Foogs-1.960 Foose1.645 0.100 1.282 (b) Based on your sample, graph the 99% confidence interval for the population mean of the wait times in the drive-thru for all customers. Standard error: 4.00 Margin of error: 99% confidence interval: • Enter the lower and upper limits on the graph to show your confidence interval. . For the point (+), enter the restaurant chain's claim of 5.39 minutes. 99% confidence interval: 5.00 O No, the confidence interval does not contradict the claim. The restaurant chain's claim of 5.39 minutes is inside the 99% confidence interval. O No, the confidence interval does not contradict the claim. The restaurant chain's claim of 5.39 minutes is outside the 99% confidence interval. OYes, the confidence interval contradicts the claim. The restaurant chain's claim of 5.39 minutes is inside the 99% confidence interval. Population standard deviation 2.79 8.00 O Yes, the confidence interval contradicts the claim. The restaurant chain's claim of 5.39 minutes is outside the 99% confidence interval. X X (c) Does the 99% confidence interval you constructed contradict the restaurant chain's claim? Choose the best answer from the choices below. X $ 3 5 10.00 F 10.00 Español ? H 9
Transcribed Image Text:A chain of taco restaurants claims that the population mean of the wait times in their drive-thru for all customers is minutes. You work for a competitor and you want to test that claim. To do so, you select a random sample of 40 of the chain's drive-thru customers and record the wait time in the drive-thru for each. Assume it is known that the population standard deviation of the wait times in the drive-thru for the taco chain's restaurants is 2.79 minutes. Based on your sample, follow the steps below to construct a 99% confidence interval for the population mean of the wait times in the drive-thru for all customers. Then state whether the confidence interval you construct contradicts the restaurant chain's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results from your random sample of 40 customers. Take Sample Sample size: 0 Point estimate: Population standard deviation: 0 Enter the values of the sample size, the point estimate for the population mean, the population standard deviation, and the critical value you need for your 99% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Critical value: 0 Compute 0.00 Number of customers 40 F 0.00 Sample mean Sample standard deviation 2.39 2.00 3.94 Critical values 70.005-2.576 Foose-2.326 Foogs-1.960 Foose1.645 0.100 1.282 (b) Based on your sample, graph the 99% confidence interval for the population mean of the wait times in the drive-thru for all customers. Standard error: 4.00 Margin of error: 99% confidence interval: • Enter the lower and upper limits on the graph to show your confidence interval. . For the point (+), enter the restaurant chain's claim of 5.39 minutes. 99% confidence interval: 5.00 O No, the confidence interval does not contradict the claim. The restaurant chain's claim of 5.39 minutes is inside the 99% confidence interval. O No, the confidence interval does not contradict the claim. The restaurant chain's claim of 5.39 minutes is outside the 99% confidence interval. OYes, the confidence interval contradicts the claim. The restaurant chain's claim of 5.39 minutes is inside the 99% confidence interval. Population standard deviation 2.79 8.00 O Yes, the confidence interval contradicts the claim. The restaurant chain's claim of 5.39 minutes is outside the 99% confidence interval. X X (c) Does the 99% confidence interval you constructed contradict the restaurant chain's claim? Choose the best answer from the choices below. X $ 3 5 10.00 F 10.00 Español ? H 9
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