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V Espanol An agriculture publication claims that the population mean of the birth weights for all Alpine goats is 2.53 kg. A veterinary service has

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V Espanol An agriculture publication claims that the population mean of the birth weights for all Alpine goats is 2.53 kg. A veterinary service has hired you to test that claim. 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. 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 Alpine goats. Number of goats Population Sample mean Sample standard deviation standard deviation Take Sample 35 2.34 1-08 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: Critical Population standard values deviation: Margin of errors 0.005 2-576 50.010 2 326 Critical value: 70.025 1 960 95% confidence interval Fo.050 1-645 Compute Fo.100 1 282 (b ) Based on your sample, graph the 95% confidence interval for the population mean of the birth weights for all Alpine goats. Enter the lower and upper limits on the graph to show your confidence interval . For the point ("), enter the publication's claim of 2.53 kg. 95% confidence interval 1.00 10.00 0.00 10.00 (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 daim. The publication's claim of 2 53

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