A chain of taco restaurants claims that the population mean of the wait times in their drive-thru for all customers is 5.39 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 Number of customers Sample mean Sample standard deviation Population standard deviation 2.79 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".
A chain of taco restaurants claims that the population mean of the wait times in their drive-thru for all customers is 5.39 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 Number of customers Sample mean Sample standard deviation Population standard deviation 2.79 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".
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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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 5.39 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:
0
Population standard deviation:
0
Critical value:
0
Compute
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".
0.00
Number of customers
0.00
+
2.00
Sample m
Standard error:
4.00
Margin of error:
99% confidence interval:
99% confidence interval:
mean
5.00
(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.
• 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.
6.00
Sample standard
deviation
8.00
X
Critical values
²0.005 = 2.576
20.010 = 2.326
20.025 = 1.960
²0.050 = 1.645
20.100 = 1.282
Population standard
10.00
deviation
2.79
10.00
Transcribed Image Text:(b)
(c)
Based on your sample, graph the 99% confidence interval for the population mean of the wait times in the drive-thru for all customers.
• 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.
0.00
0.00
2.00
99% confidence interval:
4.00
5.00
6.00
8.00
10.00
10.00
Does the 99% confidence interval you constructed contradict the restaurant chain's claim? Choose the best answer from the choices below.
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.
O Yes, the confidence interval contradicts the claim. The restaurant chain's claim of 5.39 minutes is inside the 99%
confidence interval.
O Yes, the confidence interval contradicts the claim. The restaurant chain's claim of 5.39 minutes is outside the 99%
confidence interval.
S
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