(b)(c)Based on your sample, graph the 99% confidence interval for the population mean of all the weight gains for baby boys in their first year.• Enter the values for the lower and upper limits on the graph to show your confidence interval.. For the point (), enter the claim 8.744 from the study.0.0000.0002.00099% confidence interval:4.0005.0006.0008.000Does the 99% confidence interval you constructed contradict the claim made by the study?Choose the best answer from the choices below.X10.00010.000SNo, the confidence interval does not contradict the claim. The mean of 8.744 kg from the study is inside the 99%confidence interval.O No, the confidence interval does not contradict the claim. The mean of 8.744 kg from the study is outside the 99%confidence interval.Yes, the confidence interval contradicts the claim. The mean of 8.744 kg from the study is inside the 99%confidence interval.Yes, the confidence interval contradicts the claim. The mean of 8.744 kg from the study is outside the 99%confidence interval.X A notable indicator of a baby's health is the weight gained in the first year of the baby's life. Assume that the population of all such weight gains for baby boysis approximately normally distributed. A study claimed that the mean of this population is 8.744 kg. As a practicing pediatrician, you want to test this claim. So,you select a random sample of 14 baby boys, and you record the weight each gained in their first year.Follow the steps below to construct a 99% confidence interval for the population mean of all the weight gains for baby boys in their first year. Then statewhether the confidence interval you construct contradicts the study's claim. (If necessary, consult a list of formulas.)(a) Click on "Take Sample" to see the results for your random sample.Take SampleSample size:0Point estimate:0Sample standard deviation:0Critical value:0Number of baby boysCompute14Sample meanEnter the values of the sample size, the point estimate of the mean, the sample 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".5.904Standard error:Margin of error:Sample standard99% confidence interval:deviation1.611Critical values0.005 3.012¹0.010 2.650¹0.025 2.1600.050 1.7710.100 1.350(b) Based on your sample, graph the 99% confidence interval for the population mean of all the weight gains for baby boys in their first year.

Question

(b)(c)Based on your sample, graph the 99% confidence interval for the population mean of all the weight gains for baby boys in their first year.• Enter the values for the lower and upper limits on the graph to show your confidence interval.. For the point (), enter the claim 8.744 from the study.0.0000.0002.00099% confidence interval:4.0005.0006.0008.000Does the 99% confidence interval you constructed contradict the claim made by the study?Choose the best answer from the choices below.X10.00010.000SNo, the confidence interval does not contradict the claim. The mean of 8.744 kg from the study is inside the 99%confidence interval.O No, the confidence interval does not contradict the claim. The mean of 8.744 kg from the study is outside the 99%confidence interval.Yes, the confidence interval contradicts the claim. The mean of 8.744 kg from the study is inside the 99%confidence interval.Yes, the confidence interval contradicts the claim. The mean of 8.744 kg from the study is outside the 99%confidence interval.X A notable indicator of a baby's health is the weight gained in the first year of the baby's life. Assume that the population of all such weight gains for baby boysis approximately normally distributed. A study claimed that the mean of this population is 8.744 kg. As a practicing pediatrician, you want to test this claim. So,you select a random sample of 14 baby boys, and you record the weight each gained in their first year.Follow the steps below to construct a 99% confidence interval for the population mean of all the weight gains for baby boys in their first year. Then statewhether the confidence interval you construct contradicts the study's claim. (If necessary, consult a list of formulas.)(a) Click on &#34;Take Sample&#34; to see the results for your random sample.Take SampleSample size:0Point estimate:0Sample standard deviation:0Critical value:0Number of baby boysCompute14Sample meanEnter the values of the sample size, the point estimate of the mean, the sample 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 &#34;Compute&#34;.5.904Standard error:Margin of error:Sample standard99% confidence interval:deviation1.611Critical values0.005 3.012¹0.010 2.650¹0.025 2.1600.050 1.7710.100 1.350(b) Based on your sample, graph the 99% confidence interval for the population mean of all the weight gains for baby boys in their first year.

Accepted Answer

Given that
Sample size =14
Sample mean =5904  
Sample standard deviation =1611 
For confidence level…