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An agriculture publication claims that the population mean of the birth weights for all Boer goats is 2.72 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 95% 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. Sample standard Population standard Number of goats Sample mean deviation deviation Take Sample 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: X 0 ? Standard error: Point estimate: Critical values Population standard deviation: Margin of error: Z 0.005 = 2.576 Z0.010 = 2.326 Critical value: 0 Z0.025 = 1.960 95% confidence interval: Z0.050 = 1.645 Compute Zo.100 = 1.282 (b) Based on your sample, graph the 95 % confidence interval for the population mean of the birth weights for all Boer goats. . Enter the lower and upper limits on the graph to show your confidence interval. . For the point (), enter the publication's claim of 2.72 kg 95% confidence interval: 0.00 10.00 5.00 N 8 10 X 5 ? (c) Does the 95% confidence interval you constructed contradict the publication's claim? Choose the best answer from the choices below. No, the confidence interval does not contradict the claim. The publication's claim of 2.72 kg is X ? inside the 95% confidence interval. No, the confidence interval does not contradict the claim. The publication's claim of 2.72 kg is outside the 95% confidence interval. Yes, the confidence interval contradicts the claim. The publication's claim of 2.72 kg is inside the 95% confidence interval. Yes, the confidence interval contradicts the claim. The publication's claim of 2.72 kg is outside the 95% confidence interval