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 Point estimate: 0 Population standard deviation: 0 Critical value: Compute 0.00 0.00 Number of goats 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: 35 2.00 Sample mean 4.00 Standard error: 1.41 Margin of error: 90% confidence interval: (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. 90% confidence interval: 5.00 6.00 Sample standard deviation 1.19 8.00 X 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
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 Point estimate: 0 Population standard deviation: 0 Critical value: Compute 0.00 0.00 Number of goats 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: 35 2.00 Sample mean 4.00 Standard error: 1.41 Margin of error: 90% confidence interval: (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. 90% confidence interval: 5.00 6.00 Sample standard deviation 1.19 8.00 X 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
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 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.
(b)
Take Sample
Sample size:
0
Point estimate:
0
Population standard deviation:
0
Critical value:
Compute
0.00
0.00
Number of goats
35
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".
2.00
Sample mean
4.00
Standard error:
1.41
Margin of error:
90% confidence interval:
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.
90% confidence interval:
5.00
6.00
Sample standard
deviation
1.19
8.00
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
10.00
deviation
1.36
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