A veterinary service has hired you to estimate the population mean of the birth weights for all Herdwick sheep. To do so, you select a random sample of 35 Herdwick sheep and record the birth weights. Assume it is known that the population standard deviation of the birth weights of Herdwick sheep is 2.15 kg. D Based on your sample, follow the steps below to construct a 90% confidence interval for the population mean of the birth weights for all Herdwick sheep. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results from your random sample of 35 Herdwick sheep. Number of sheep Sample mean Sample standard Population deviation standard deviation Take Sample 35 3.19 2.01 2.15 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 90% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Sample size: X Standard error: Point estimate: Population standard deviation: Margin of error: Confidence Critical level value Critical value: 99% 20.005 2.576 90% confidence interval: 95% 0.025 1.960 Compute 90% 20.050 1.645 ( b ) Based on your sample, enter the lower and upper limits to graph the 90% confidence interval for the population mean of the birth weights for all Herdwick sheep. 90% confidence interval: 0.00 10.00 0.00 2.00 4.00 6.00 8 00 10.00 X