An agriculture publication claims that the population mean of the birth weights for all Suffolk sheep is 4.37 kg. A veterinary service has hired you to test that claim. To do so, you select a random sample of 35 Suffolk sheep and record the birth weights. Assume it is known that the population standard deviation of the birth weights of Suffolk sheep is 2.15 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 Suffolk sheep. Then state whether the confidence interval you construct contradicts the publication's claim. (If necessary, consult a listof formulas-) (0) Click on "Take Sampie" to see the results from your random sample of 35 Suffolk sheep. Sample standard Population standard Number of sheep Sample mean deviation deviation Take Sample 35 5.41 192 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 95% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Sample size: 35 Standard error: 0.36 Point estimate: 5.41 Critical values o 00s 2576 Population standard deviation: Margin of error 0.71 2.15
An agriculture publication claims that the population mean of the birth weights for all Suffolk sheep is 4.37 kg. A veterinary service has hired you to test that claim. To do so, you select a random sample of 35 Suffolk sheep and record the birth weights. Assume it is known that the population standard deviation of the birth weights of Suffolk sheep is 2.15 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 Suffolk sheep. Then state whether the confidence interval you construct contradicts the publication's claim. (If necessary, consult a listof formulas-) (0) Click on "Take Sampie" to see the results from your random sample of 35 Suffolk sheep. Sample standard Population standard Number of sheep Sample mean deviation deviation Take Sample 35 5.41 192 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 95% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Sample size: 35 Standard error: 0.36 Point estimate: 5.41 Critical values o 00s 2576 Population standard deviation: Margin of error 0.71 2.15
MATLAB: An Introduction with Applications
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Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Could someone double check my answers please? I'm not feeling 100% confident. Thanks!
Transcribed Image Text:0.0102.328
Critical value:
1.960
Fo 0as =1.960
95% confidence interval:
5.41 0.71
20 0s0 =1.645
Compute
0 100 -1.282
(b) Based on your sample, graph the 95% confidence interval for the population mean of the birth weights for all Suffolk sheep.
• Enter the lower and upper limits on the graph to show your confidence interval.
• For the point (+), enter the publication's claim of 4.37 kg.
95% confidence interval:
4.70
6.12
437
10
?
(e) 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 4.37 kg is inside the 95%
confidence interval.
O No, the confidence interval does not contradict the caim. The publication's claim of 4.37 kg is outside the 95%
confidence interval.
O Yes, the confidence interval contradicts the claim. The publication's claim of 4.37 kg is inside the 95% confidence
interval.
• Yes, the confidence interval contradicts the claim. The publication's claim of 4.37 kg is outside the 95% confidence
interval.
Transcribed Image Text:An agriculture publication claims that the population mean of the birth weights for all Suffolk sheep is 4.37 kg. A veterinary service has hired you to test that
claim. To do so, you select a random sample of 35 Suffolk sheep and record the birth weights. Assume it is known that the population standard deviation of the
birth weights of Suffolk sheep is 2.15 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 Suffolk sheep. Then
state whether the confidence interval you construct contradicts the publication's claim. (If necessary, consult a listof formulas.)
(a) Click on "Take Sample" to see the results from your random sample of 35 Suffolk sheep.
Sample standard
deviation
Population standard
Number of sheep
Sample mean
deviation
Take Sample
35
5.41
1.92
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 95% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute".
Sample size:
?
35
Standard error:
0.36
Point estimate:
5.41
Critical values
Population standard deviation:
2.15
Margin of error:
0.71
20.00s =2.576
F0.010 =2.326
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