you to test that claim 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 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 Then state whether the confidence interval you construct contradicts the publication s claim If necessary consult a list of formulas a Click on Take Sample to see the results from your random sample of 35 Herdwick sheep Take Sample Sample size 0 Point estimate Population standard deviation 0 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 Critical value 0 Compute 0 00 Number of sheep 0 00 Sample mean 2 00 Sample standard deviation Standard error 4 00 Margin of error 90 confidence interval 90 confidence interval 5 00 b Based on your sample graph the 90 confidence interval for the population mean of the birth weights for all Herdwick sheep 6 00 Enter the lower and upper limits on the graph to show your confidence interval For the point enter the publication s claim of 4 54 kg No the confidence interval does not contradict the claim The publication s claim of 4 54 kg is inside the 90 confidence interval O No the confidence interval does not contradict the claim The publication s claim of 4 54 kg is outside the 90 confidence interval Population standard deviation 2 15 Yes the confidence interval contradicts the claim The publication s claim of 4 54 kg is inside the 90 confidence interval 8 00 O Yes the confidence interval contradicts the claim The publication s claim of 4 54 kg is outside the 90 X Critical values 0 005 2 576 2 326 0 010 X 0 025 1 960 0 050 1 645 0 100 1 282 c Does the 90 confidence interval you constructed contradict the publication s claim Choose the best answer from the choices below 5 5 10 00 10 00 E an M