An agriculture publication daims that the population mean of the birth weights for all Alpine goats is 2.33 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. Sample standard deviation Population standard Number of goats Sample mean deviation Take Sample 35 2.52 1.29 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 values Population standard deviation: Margin of error: F0.005 -2.576 F0.010-2.326 Critical value: F0.025-1.960 95% confidence interval: -1.645
An agriculture publication daims that the population mean of the birth weights for all Alpine goats is 2.33 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. Sample standard deviation Population standard Number of goats Sample mean deviation Take Sample 35 2.52 1.29 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 values Population standard deviation: Margin of error: F0.005 -2.576 F0.010-2.326 Critical value: F0.025-1.960 95% confidence interval: -1.645
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:An agriculture publication daims that the population mean of the birth weights for all Alpine goats is 2.33 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.
Sample standard
Population standard
deviation
Number of goats
Sample mean
deviation
Take Sample
35
2.52
1.29
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 values
Population standard deviation:
Margin of error:
Z0.00s -2.576
F0.010-2.326
Critical value:
F0.025 -1.960
95% confidence interval:
Enns0-1.645
Explanation
Check
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Transcribed Image Text:(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 2.33 kg.
95% confidence interval:
0.00
10.00
5.00
0.00
2.00
4.00
6.00
8.00
10.00
(c) Does the 95% confidence interval you constructed contradict the publication's claim? Choose the best answer from the choices below.
O No, the confidence interval does not contradict the claim. The publication's claim of 2.33 kg is inside the 95% confidence
interval.
O No, the confidence interval does not contradict the claim. The publication's claim of 2.33 kg is outside the 95%
confidence interval.
O Yes, the confidence interval contradicts the claim. The publication's claim of 2.33 kg is inside the 95% confidence
interval.
O Yes, the confidence interval contradicts the claim. The publication's claim of 2.33 kg is outside the 95% confidence
interval.
Explanation
Check
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