SDoes the 90% confidence interval you constructed contradict the manufacturer's claim? Choose the best answer from the choices below.O No, the confidence interval does not contradict the claim. The manufacturer's claim of 5.28 hours is inside the 90%confidence interval.O No, the confidence interval does not contradict the claim. The manufacturer's claim of 5.28 hours is outside the90% confidence interval.O Yes, the confidence interval contradicts the claim. The manufacturer's claim of 5.28 hours is inside the 90%confidence interval.O Yes, the confidence interval contradicts the claim. The manufacturer's claim of 5.28 hours is outside the 90%confidence interval.3 A cell phone manufacturer tests the battery lifetimes of its cell phones by recording the time it takes for the battery charges to run out while testers are playinggames on the phones continuously. The manufacturer claims that the population mean of the battery lifetimes of all phones of their latest model is 5.28 hours.As a researcher for a consumer information service, you want to test that claim. To do so, you select a random sample of 45 cell phones of the manufacturer'slatest model and record their battery lifetimes. Assume it is known that the population standard deviation of the battery lifetimes for that cell phone model is2.73 hours.Based on your sample, follow the steps below to construct a 90% confidence interval for the population mean of the battery lifetimes for all phones of themanufacturer's latest model. Then state whether the confidence interval you construct contradicts the manufacturer's claim. (If necessary, consult a list offormulas.)(a) Click on "Take Sample" to see the results from your random sample of 45 phones of the manufacturer's latest model.(b)Take SampleSample size:Point estimate:0Population standard deviation:0Critical value:0Compute0.00Number of phonesEnter the values of the sample size, the point estimate for the population mean, the population standard deviation, and the critical value you needfor your 90% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute".0.00452.00Sample meanStandard error:• Enter the lower and upper limits on the graph to show your confidence interval.. For the point (◆), enter the manufacturer's claim of 5.28 hours.4.006.98Margin of error:90% confidence interval:Based on your sample, graph the 90% confidence interval for the population mean of the battery lifetimes for allphones of the manufacturer's latest model.90% confidence interval:5.006.00Sample standarddeviation2.648.00XCritical values20.005 = 2.576²0.010 = 2.326²0.025 = 1.96020.050 = 1.645²0.100 = 1.28210.00Population standard10.00deviation2.73

Question

SDoes the 90% confidence interval you constructed contradict the manufacturer's claim? Choose the best answer from the choices below.O No, the confidence interval does not contradict the claim. The manufacturer's claim of 5.28 hours is inside the 90%confidence interval.O No, the confidence interval does not contradict the claim. The manufacturer's claim of 5.28 hours is outside the90% confidence interval.O Yes, the confidence interval contradicts the claim. The manufacturer's claim of 5.28 hours is inside the 90%confidence interval.O Yes, the confidence interval contradicts the claim. The manufacturer's claim of 5.28 hours is outside the 90%confidence interval.3 A cell phone manufacturer tests the battery lifetimes of its cell phones by recording the time it takes for the battery charges to run out while testers are playinggames on the phones continuously. The manufacturer claims that the population mean of the battery lifetimes of all phones of their latest model is 5.28 hours.As a researcher for a consumer information service, you want to test that claim. To do so, you select a random sample of 45 cell phones of the manufacturer'slatest model and record their battery lifetimes. Assume it is known that the population standard deviation of the battery lifetimes for that cell phone model is2.73 hours.Based on your sample, follow the steps below to construct a 90% confidence interval for the population mean of the battery lifetimes for all phones of themanufacturer's latest model. Then state whether the confidence interval you construct contradicts the manufacturer's claim. (If necessary, consult a list offormulas.)(a) Click on &#34;Take Sample&#34; to see the results from your random sample of 45 phones of the manufacturer's latest model.(b)Take SampleSample size:Point estimate:0Population standard deviation:0Critical value:0Compute0.00Number of phonesEnter the values of the sample size, the point estimate for the population mean, the population standard deviation, and the critical value you needfor your 90% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select &#34;Compute&#34;.0.00452.00Sample meanStandard error:• Enter the lower and upper limits on the graph to show your confidence interval.. For the point (◆), enter the manufacturer's claim of 5.28 hours.4.006.98Margin of error:90% confidence interval:Based on your sample, graph the 90% confidence interval for the population mean of the battery lifetimes for allphones of the manufacturer's latest model.90% confidence interval:5.006.00Sample standarddeviation2.648.00XCritical values20.005 = 2.576²0.010 = 2.326²0.025 = 1.96020.050 = 1.645²0.100 = 1.28210.00Population standard10.00deviation2.73

Accepted Answer

We have given that
Number of phones = 45
Sample mean = 6.98
Sample standard deviations = 2.64…