A chain of taco restaurants claims that the population mean of the wait times in their drive-thru for all customers is 3.14 minutes. You work for a competitor andyou 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 95% confidence interval for the population mean of the wait times in the drive-thru for allcustomers. 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.(b)(c)Take SampleSample size:Point estimate:0Population standard deviation:0Critical value:Compute0.00Number of customers0.00402.00Enter the values of the sample size, the point estimate for the population mean, the population standard deviation, and the critical value you needfor your 95% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute".Sample mean4.00Standard error:4.26Margin of error:95% confidence interval:95% confidence interval:5.006.00Sample standardBased on your sample, graph the 95% 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 3.14 minutes.deviation8.002.44Critical values20.005 = 2.576²0.010 =2.32620.025 = 1.960²0.050 = 1.64520.100 = 1.28210.0010.00Population standardO No, the confidence interval does not contradict the claim. The restaurant chain's claim of 3.14 minutes is outsidethe 95% confidence interval.deviationO Yes, the confidence interval contradicts the claim. The restaurant chain's claim of 3.14 minutes is inside the 95%confidence interval.2.79Does the 95% 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 3.14 minutes is inside the95% confidence interval.O Yes, the confidence interval contradicts the claim. The restaurant chain's claim of 3.14 minutes is outside the 95%confidence interval.

The question is about confidence interval.Given :Claim : Population mean of the wait times ( ) =…

A chain of taco restaurants claims that the population mean of the wait times in their drive-thru for all customers is 3.14 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 95% 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. (b) (c) Take Sample Sample size: 0 Point estimate: 0 Population standard deviation: 0 Critical value: Compute 0.00 Number of customers 0.00 40 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 95% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". 2.00 Sample mean 4.00 Standard error: Margin of error: 4.26 95% confidence interval: 95% confidence interval: 5.00 Based on your sample, graph the 95% 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 3.14 minutes. 6.00 Sample standard deviation 8.00 2.44 Critical values 20.005 = 2.576 20.010 =2.326 20.025 = 1.960 20.050 = 1.645 20.100 = 1.282 X 10.00 10.00 Population standard O No, the confidence interval does not contradict the claim. The restaurant chain's claim of 3.14 minutes is outside the 95% confidence interval. deviation O Yes, the confidence interval contradicts the claim. The restaurant chain's claim of 3.14 minutes is inside the 95% confidence interval. 2.79 Does the 95% 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 3.14 minutes is inside the 95% confidence interval. O Yes, the confidence interval contradicts the claim. The restaurant chain's claim of 3.14 minutes is outside the 95% confidence interval.