PART C (c)Does the 99% confidence interval you constructed contradict the publication's claim? Choose the best answer from the choices below.  ___ No, the confidence interval does not contradict the claim. The publication's claim of  4.46 kg is inside the 99% confidence interval.   ___ No, the confidence interval does not contradict the claim. The publication's claim of  4.46 kg is outside the 99% confidence interval.   __ Yes, the confidence interval contradicts the claim. The publication's claim of 4.46kg is inside the  99% confidence interval.   ____ Yes, the confidence interval contradicts the claim. The publication's claim of 4.46kg  is outside the 99% confidence interval.

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PART C

(c)Does the 99% confidence interval you constructed contradict the publication's claim? Choose the best answer from the choices below.

 ___ No, the confidence interval does not contradict the claim. The publication's claim of 
4.46 kg is inside the 99% confidence interval.
 
___ No, the confidence interval does not contradict the claim. The publication's claim of 
4.46 kg is outside the 99% confidence interval.
 
__ Yes, the confidence interval contradicts the claim. The publication's claim of 4.46kg is inside the 
99% confidence interval.
 
____ Yes, the confidence interval contradicts the claim. The publication's claim of 4.46kg
 is outside the 99% confidence interval.
An agriculture publication claims that the population mean of the birth weights for all Herdwick sheep is 4.46 kg. A veterinary service has hired you to test that
claim. To do so, you select a random sample of 35 Herdwick sheep and record the birth weights. Assume it is known that the population standard deviation of
the birth weights of Herdwick sheep is 2.15 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 Herdwick 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 Herdwick sheep.
Take Sample
Sample size:
Point estimate:
Number of sheep
Population standard deviation:
35
Sample mean
4.08
Standard error:
Sample standard
Margin of error:
deviation
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".
1.86
X
Ś
Critical values
Z=2.576
Population standard
deviation
2.15
Transcribed Image Text:An agriculture publication claims that the population mean of the birth weights for all Herdwick sheep is 4.46 kg. A veterinary service has hired you to test that claim. To do so, you select a random sample of 35 Herdwick sheep and record the birth weights. Assume it is known that the population standard deviation of the birth weights of Herdwick sheep is 2.15 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 Herdwick 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 Herdwick sheep. Take Sample Sample size: Point estimate: Number of sheep Population standard deviation: 35 Sample mean 4.08 Standard error: Sample standard Margin of error: deviation 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". 1.86 X Ś Critical values Z=2.576 Population standard deviation 2.15
(b)
Population standard deviation:
0
Critical value:
0
Compute
0.00
0.00
2.00
Margin of error:
Based on your sample, graph the 99% confidence interval for the population mean of the birth weights for all Herdwick sheep.
• Enter the lower and upper limits on the graph to show your confidence interval.
For the point (), enter the publication's claim of 4.46 kg.
99% confidence interval:
4.00
99% confidence interval:
5.00
6.00
Critical values
8.00
20.005=2.576
20.010 2.326
20.025 1.960
20.050 1.645
20.100 1.282
10.00
10.00
Transcribed Image Text:(b) Population standard deviation: 0 Critical value: 0 Compute 0.00 0.00 2.00 Margin of error: Based on your sample, graph the 99% confidence interval for the population mean of the birth weights for all Herdwick sheep. • Enter the lower and upper limits on the graph to show your confidence interval. For the point (), enter the publication's claim of 4.46 kg. 99% confidence interval: 4.00 99% confidence interval: 5.00 6.00 Critical values 8.00 20.005=2.576 20.010 2.326 20.025 1.960 20.050 1.645 20.100 1.282 10.00 10.00
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