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 hamburger chain s restaurants is 2 91 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 c Take Sample Sample size D Point estimate 0 Population standard deviation 0 Critical value 0 Compute 0 00 Number of customers 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 40 2 00 Sample mean 5 67 4 00 Sample standard deviation Standard error Margin of error 99 confidence interval 99 confidence interval 2 34 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 6 00 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 59 minutes O No the confidence interval does not contradict the claim The restaurant chain s claim of 3 59 minutes is inside the 99 confidence interval O No the confidence interval does not contradict the claim The restaurant chain s claim of 3 59 minutes is outside the 99 confidence interval Population standard deviation O Yes the confidence interval contradicts the claim The restaurant chain s claim of 3 59 minutes is inside the 99 confidence interval 2 91 8 00 O Yes the confidence interval contradicts the claim The restaurant chain s claim of 3 59 minutes is outside the 99 confidence interval X Critical values 20 005 2 576 0 010 2 326 20 025 1 960 0 050 1 645 0 100 1 282 X Does the 99 confidence interval you constructed contradict the restaurant chain s claim Choose the best answer from the choices below S 3 5 10 00 10 00 S A M