weights for all Boer goats is 2 81 kg A veterinary service has hired you to test that claim To do so you select a random sample of 35 Boer goats and record the birth weights Assume it is known that the population standard deviation of the birth weights of Boer goats is 1 36 kg Based on your sample follow the steps below to construct a 99 confidence interval for the population mean of the birth weights for all Boer goats 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 Boer goats c Take Sample Sample size 1 Point estimate 0 Population standard deviation 0 Critical value 0 Compute Number of goats Sample mean 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 99 confidence interval Choose the correct critical value from the table of critical values provided When you are done select Compute 0 00 0 00 35 2 00 1 38 Sample standard Standard error 4 00 Margin of error 99 confidence interval deviation b Based on your sample graph the 99 confidence interval for the population mean of the birth weights for all Boer goats 99 confidence interval 5 00 1 06 Enter the lower and upper limits on the graph to show your confidence interval For the point enter the publication s claim of 2 81 kg 6 00 O No the confidence interval does not contradict the claim The publication s claim of 2 81 kg is inside the 99 confidence interval O No the confidence interval does not contradict the claim The publication s claim of 2 81 kg is outside the 99 confidence interval Population standard deviation 1 36 Critical values 8 00 O Yes the confidence interval contradicts the claim The publication s claim of 2 81 kg is inside the 99 confidence interval 20 005 2 576 0 010 2 326 0 025 1 960 0 050 1 645 20 100 1 282 X X Does the 99 confidence interval you constructed contradict the publication s claim Choose the best answer from the choices below 10 00 10 00