(b) 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.• Enter the lower and upper limits on the graph to show your confidence interval.• For the point (), enter the manufacturer's claim of 6.39 hours.90% confidence interval:10.000.005.004.006.008.0010.000.002.00(c)Does 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 6.39 hours is inside the 90%confidence interval.O No, the confidconfidence interval,interval does not contradict the claim, The manufacturer's claim of 6.39 hours is outside the 90%O Yes, the confidence interval contradicts the claim. The manufacturer's claim of 6.39 hours is inside the 90% confidenceinterval.O Yes, the confidence interval contradicts the claim. The manufacturer's claim of 6.39 hours is outside the 90% confidenceinterval.ExplanationCheckO 2021 McGraw-Hill Education. All Rights Reserved Terms of UseMacBook Air吕口,F2F4FB232$&*23456.8QWERYDFGKC 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 6.39 hours.As a researcher for a consumer information service, you want to test that claim. To do s0, 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.Sample standardPopulation standarddeviationNumber of phonesSample meandeviationTake Sample455.972.482.73Enter the values of the sample size, the point estimate for the population mean, the population standard deviation, and the critical value you need for your90% 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 valuesPopulation standard deviation:Margin of error:F0.00s -2.576F0.010-2.326Critical valuO-ExplanationCheck2021 McGraw HIlI Education. Al Rights Reserved Terms of UsePrivacy I AccessibiliMacBook Air%233456.78QEYUDFGHKVoltcommandcommandoptin

Name: (b) Based on your sample, graph the 90% confidence interval for the p
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Description: (b) 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.• Enter the lower and upper limits on the graph to show your confidence interval.• For the

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(b) 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.• Enter the lower and upper limits on the graph to show your confidence interval.• For the point (), enter the manufacturer's claim of 6.39 hours.90% confidence interval:10.000.005.004.006.008.0010.000.002.00(c)Does 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 6.39 hours is inside the 90%confidence interval.O No, the confidconfidence interval,interval does not contradict the claim, The manufacturer's claim of 6.39 hours is outside the 90%O Yes, the confidence interval contradicts the claim. The manufacturer's claim of 6.39 hours is inside the 90% confidenceinterval.O Yes, the confidence interval contradicts the claim. The manufacturer's claim of 6.39 hours is outside the 90% confidenceinterval.ExplanationCheckO 2021 McGraw-Hill Education. All Rights Reserved Terms of UseMacBook Air吕口,F2F4FB232$&*23456.8QWERYDFGKC 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 6.39 hours.As a researcher for a consumer information service, you want to test that claim. To do s0, 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.Sample standardPopulation standarddeviationNumber of phonesSample meandeviationTake Sample455.972.482.73Enter the values of the sample size, the point estimate for the population mean, the population standard deviation, and the critical value you need for your90% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select &#34;Compute&#34;.Sample size:Standard error:Point estimate:Critical valuesPopulation standard deviation:Margin of error:F0.00s -2.576F0.010-2.326Critical valuO-ExplanationCheck2021 McGraw HIlI Education. Al Rights Reserved Terms of UsePrivacy I AccessibiliMacBook Air%233456.78QEYUDFGHKVoltcommandcommandoptin

Accepted Answer

Introduction:
The 100 (1 – α) % confidence interval for the population mean, μ, when the population…