A chain of taco restaurants claims that the population mean of the wait times in their drive-thru for all customers is 5.81 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 walt 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 90% 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. Sample standard deviation Population standard deviation Number of customers Sample mean Take Sample 40 3.97 2.77 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 90% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Sample size: Standard error: Point estimate: Critical values Population standard deviation: Margin of error: F0.00s 2.576 F0.010-2.326 Critical value: F0.0251.960 90% confidence interval: 0.050-1.645

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A chain of taco restaurants claims that the population mean of the wait times in their drive-thru for all custormers is 5.81 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 austomers and record the walt 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 90% 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.
Sample standard
deviation
Population standard
deviation
Number of customers
Sample mean
Take Sample
40
3.97
2.77
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
90% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute".
Sample size:
?
Standard error:
Point estimate:
Critical values
Population standard deviation:
Margin of error:
F0.00s -2.576
F0.010 -2.326
Critical value:
F0.025-1.960
90% confidence interval:
F0.050 -1.645
Explanation
Check
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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 custormers is 5.81 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 austomers and record the walt 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 90% 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. Sample standard deviation Population standard deviation Number of customers Sample mean Take Sample 40 3.97 2.77 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 90% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Sample size: ? Standard error: Point estimate: Critical values Population standard deviation: Margin of error: F0.00s -2.576 F0.010 -2.326 Critical value: F0.025-1.960 90% confidence interval: F0.050 -1.645 Explanation Check 2021 McGraw H Education Al Rghts Reserved Terms of UneI Pvacy Accessibilty MacBook Air esc 888 %23 24 % & 3 4 8. Q E Y] A D F G K C V B alt option command command
(b)
Based on your sample, graph the 90% 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 daim of 5.81 minutes.
90% confidence interval:
10.00
0.00
5.00
0.00
2.00
4.00
6.00
8.00
10.000
5 ?
(c) Does the 90% 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 5.81 minutes
is inside the 90%
?
confidence interval.
O No, the confidence interval does not contradict the claim. The restaurant chain's caim of 5.81 minutes is outside the
90% confidence interval.
O Yes, the confidence interval contradicts the claim. The restaurant chain's claim of 5.81 minutes is inside the 90%
confidence interval.
O Yes, the confidence interval contradicts the claim. The restaurant chain's claim of 5.81 minutes is outside the 90%
confidence interval.
Explanation
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Transcribed Image Text:(b) Based on your sample, graph the 90% 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 daim of 5.81 minutes. 90% confidence interval: 10.00 0.00 5.00 0.00 2.00 4.00 6.00 8.00 10.000 5 ? (c) Does the 90% 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 5.81 minutes is inside the 90% ? confidence interval. O No, the confidence interval does not contradict the claim. The restaurant chain's caim of 5.81 minutes is outside the 90% confidence interval. O Yes, the confidence interval contradicts the claim. The restaurant chain's claim of 5.81 minutes is inside the 90% confidence interval. O Yes, the confidence interval contradicts the claim. The restaurant chain's claim of 5.81 minutes is outside the 90% confidence interval. Explanation Check Privacy I Accessibilty 2021 McGraw H Education. Al Rights Reserved Ters of Uhe MacBook Air S0 ,, 888.. esc F3 23 $ % & 3 5 8 E R Y A S D F G K ock C V B alt command rol option command
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