(a) Click on "Take Sample" to see the results from your random sample of 35 Dorset sheep. Sample standard deviation Population standard deviation Number of sheep Sample mean Take Sample 2.15 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: Standard eror: Point estimate: Critical values Population standard deviation: Margin of error: Fo.00s 2.576 F0.010=2.326 Critical value: Fo.025=1.960 90% confidence interval: Z0.050 =1.645 Compute 0.1001.282 (b) Based on your sample, graph the 90% confidence interval for the population mean of the birth weights for all Dorset sheep.

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An agriculture publication claims that the population,mean of the birth weights for all Dorset sheep is 3.24 kg. A veterinary service has hired you to test
that claim. To do so, you select a random sample of 35 Dorset sheep and record the birth weights. Assume it is known that the population standard
deviation of the birth weights of Dorset sheep is 2.15 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 Dorset sheep.
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 Dorset sheep.
Sample standard
deviation
Population standard
deviation
Number of sheep
Sample mean
Take Sample
2.15
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:
Standard error:
Point estimate:
Critical values
Population standard deviation:
Margin of error:
Z0.005
= 2.576
Z0.010=2.326
Critical value:
F0.025=1.960
90% confidence interval:
20.050=1.645
Compute
20.100 1.282
(b) Based on your sample, graph the 90% confidence interval for the population mean of the birth weights for all Dorset sheep.
• Enter the lower and upper limits on the graph to show your confidence interval.
• For the point (), enter the publication's claim of 3.24 kg.
90% confidence interval:
0.00
10.00
Transcribed Image Text:An agriculture publication claims that the population,mean of the birth weights for all Dorset sheep is 3.24 kg. A veterinary service has hired you to test that claim. To do so, you select a random sample of 35 Dorset sheep and record the birth weights. Assume it is known that the population standard deviation of the birth weights of Dorset sheep is 2.15 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 Dorset sheep. 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 Dorset sheep. Sample standard deviation Population standard deviation Number of sheep Sample mean Take Sample 2.15 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: Standard error: Point estimate: Critical values Population standard deviation: Margin of error: Z0.005 = 2.576 Z0.010=2.326 Critical value: F0.025=1.960 90% confidence interval: 20.050=1.645 Compute 20.100 1.282 (b) Based on your sample, graph the 90% confidence interval for the population mean of the birth weights for all Dorset sheep. • Enter the lower and upper limits on the graph to show your confidence interval. • For the point (), enter the publication's claim of 3.24 kg. 90% confidence interval: 0.00 10.00
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