An agriculture publication claims that the population mean of the birth weights for all Boer goats is 2.64 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 90% 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. Take Sample Number of goats 35 Sample mean 1.41 E Sample standard Population standard deviation 1.19 deviation 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 90% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Sample size: 18 Point estimate: Standard error: X 15 I Critical values Population standard deviation: Margin of error: F0.005 =2.576 Critical value: П Compute = F0.010 2.326 90% confidence interval: F0.025 1.960 F0.050 1.645 F0.100 1.282 (b) Based on your sample, graph the 90% 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 2.64 kg. 0.00 90% confidence interval: 0.00 2.00 4.00 5.00 10.00 6.00 8.00 10.00 X 5 (c) Does the 90% 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 2.64 kg is inside the 90% confidence interval. O No, the confidence interval does not contradict the claim. The publication's claim of 2.64 kg is outside the 90% confidence interval. O Yes, the confidence interval contradicts the claim. The publication's claim of 2.64 kg is inside the 90% confidence interval. O Yes, the confidence interval contradicts the claim. The publication's claim of 2.64 kg is outside the 90% confidence interval. X G

An agriculture publication claims that the population mean of the birth weights for all Boer goats is 2.64 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 90% 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. Take Sample Number of goats 35 Sample mean 1.41 E Sample standard Population standard deviation 1.19 deviation 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 90% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Sample size: 18 Point estimate: Standard error: X 15 I Critical values Population standard deviation: Margin of error: F0.005 =2.576 Critical value: П Compute = F0.010 2.326 90% confidence interval: F0.025 1.960 F0.050 1.645 F0.100 1.282 (b) Based on your sample, graph the 90% 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 2.64 kg. 0.00 90% confidence interval: 0.00 2.00 4.00 5.00 10.00 6.00 8.00 10.00 X 5 (c) Does the 90% 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 2.64 kg is inside the 90% confidence interval. O No, the confidence interval does not contradict the claim. The publication's claim of 2.64 kg is outside the 90% confidence interval. O Yes, the confidence interval contradicts the claim. The publication's claim of 2.64 kg is inside the 90% confidence interval. O Yes, the confidence interval contradicts the claim. The publication's claim of 2.64 kg is outside the 90% confidence interval. X G

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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