information service you want to test that claim To do so you select a random sample of 45 cell phones of the manufacturer s latest model and record their battery lifetimes Assume it is known that the population standard deviation of the battery lifetimes for that cell phone model is 2 73 hours Based on your sample follow the steps below to construct a 99 confidence interval for the population mean of the battery lifetimes for all phones of the manufacturer s latest model Then state whether the confidence interval you construct contradicts the manufacturer s claim If necessary consult a list of formulas a Click on Take Sample to see the results from your random sample of 45 phones of the manufacturer s latest model Take Sample Sample size 0 Point estimate 0 Population standard deviation 0 Critical value 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 Compute 0 00 Number of phones 45 0 00 Sample mean 2 00 7 38 Sample standard deviation 2 61 4 00 Standard error Margin of error 99 confidence interval b Based on your sample graph the 99 confidence interval for the population mean of the battery lifetimes for all phones of the manufacturer s latest model 99 confidence interval Enter the lower and upper limits on the graph to show your confidence interval For the point enter the manufacturer s claim of 5 99 hours 5 00 6 00 below O No the confidence interval does not contradict the claim The manufacturer s claim of 5 99 hours is inside the 99 confidence interval O No the confidence interval does not contradict the claim The manufacturer s claim of 5 99 hours is outside the 99 confidence interval O Yes the confidence interval contradicts the claim The manufacturer s claim of 5 99 hours is inside the 99 confidence interval Population standard deviation 2 73 8 00 Yes the confidence interval contradicts the claim The manufacturer s claim of 5 99 hours is outside the 99 confidence interval Critical values 0 005 2 576 X 0 010 2 326 20 025 1 960 0 050 1 645 0 100 1 282 X X c Does the 99 confidence interval you constructed contradict the manufacturer s claim Choose the best answer from the choices 10 00 5 10 00 80 M