v A veterinary service has hired you to estimate the population mean of the birth weights for all Alpine goats. To do so, you select a random sample of 35 Alpine goats and record the birth weights. Assume it is known that the population standard deviation of the birth weights of Alpine goats is 1.36 kg. Based on your sample, follow the steps below to construct a 95% confidence interval for the population mean of the birth weights for all Alpine goats. (If necessary, consult a list of formulas. (a) Click on "Take Sample" to see the results from your random sample of 35 Alpine goats. Number of goats Sample mean Sample standard Population deviation standard deviation Take Sample 35 2.52 1.29 1.36 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 95% 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: Population standard deviation: Margin of error: nfidence Critical Critical value: level value 99%% 1 2576 95% confidence interval: Fo.005 Fo.025 1.960 Compute Fo.050 1 6-45 (b) Based on your sample, enter the lower and upper limits to graph the 95%% confidence interval for the population mean of the birth weights for all Alpine goats. 95% confidence interval: 10,60 10.00