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 girls is approximately normally distributed. A study claimed that the mean of this population is 3.306 kg. As a practicing pediatrician, you want to test this claim. So, you select a random sample of 11 baby girls, and you record the weight each gained in their first year. Follow the steps below to construct a 90% confidence interval for the population mean of all the weight gains for baby girls in their first year. Then state whether 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 Sample Number of baby girls 11 Sample standard Sample mean deviation 6.398 1.731 Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the critical value you need for your 90% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Sample size: Point estimate: Standard error: X $ ☐ Sample standard deviation:. Critical values Margin of error: 0.005 =3.169 Critical value: ☐ 40.010 = 2.764 90% confidence interval: 10.025 = 2.228 Compute 0.050 = 1.812 40.100 = 1.372 份開 (b) Based on your sample, graph the 90% confidence interval for the population mean of all the weight gains for baby girls 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 3.306 from the study. 0.000 90% confidence interval: 0.000 2.000 4.000 (c) 5.000 10:000 6.000 8.000 10.000 X C Does the 90% confidence interval you constructed contradict the claim made by the study? Choose the best answer from the choices below. O No, the confidence interval does not contradict the claim. The mean of 3.306 kg from the study is inside the 90% confidence interval. O No, the confidence interval does not contradict the claim. The mean of 3.306 kg from the study is outside the 90% confidence interval. O Yes, the confidence interval contradicts the claim. The mean of 3.306 kg from the study is inside the 90% confidence interval. O Yes, the confidence interval contradicts the claim. The mean of 3.306 kg from the study is outside the 90% confidence interval. B OR 5