An agriculture publication claims that the population mean of the birth 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. Take Sample Number of goats 35 Sample mean 1.38 Sample standard deviation 1.06 Population standard 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 99% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute".
An agriculture publication claims that the population mean of the birth 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. Take Sample Number of goats 35 Sample mean 1.38 Sample standard deviation 1.06 Population standard 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 99% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute".
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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Question
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Transcribed Image Text:An agriculture publication claims that the population mean of the birth 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.
(b)
Take Sample
Sample size:
0
Point estimate:
10
Population standard deviation:
0
Critical value:
0
Compute
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
Number of goats
35
2.00
Sample mean
4.00
Standard error:
1.38
Margin of error:
99% confidence interval:
Based on your sample, graph the 99% 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 2.81 kg.
99% confidence interval:
5.00
6.00
Sample standard
deviation
1.06
8.00
Ś
Critical values
²0.005 = 2.576
²0.010 = 2.326
²0.025 = 1.960
²0.050 = 1.645
²0.100 = 1.282
10.00
Population standard
deviation
1.36
10.00
Transcribed Image Text:(b)
(c)
Based on your sample, graph the 99% 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 2.81 kg.
0.00
0.00
2.00
99% confidence interval:
4.00
5.00
6.00
8.00
x
10.00
10.00
S
Does the 99% 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 2.81 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.
O Yes, the confidence interval contradicts the claim. The publication's claim of 2.81 kg is inside the 99% confidence
interval.
O Yes, the confidence interval contradicts the claim. The publication's claim of 2.81 kg is outside the 99% confidence
interval.
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