(b) Based on your sample, graph the 99% confidence interval for the population mean of all the distances the voters in Grand Ridge County live from their nearest polling station. (c) • Enter the values for the lower and upper limits on the graph to show your confidence interval. • For the point (), enter the claim 2.15 from the article. 0.000 0.000 2.000 99% confidence interval: 4.000 5.000 6.000 8.000 Does the 99% confidence interval you constructed contradict the claim made in the article? Choose the best answer from the choices below. X 10.000 10.000 3 No, the confidence interval does not contradict the claim. The mean of 2.15 km from the article is inside the 99% confidence interval. No, the confidence interval does not contradict the claim. The mean of 2.15 km from the article is outside the 99% confidence interval. Yes, the confidence interval contradicts the claim. The mean of 2.15 km from the article is inside the 99% confidence interval. Yes, the confidence interval contradicts the claim. The mean of 2.15 km from the article is outside the 99% confidence interval. X Ś

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Author:Amos Gilat
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(b) Based on your sample, graph the 99% confidence interval for the population mean of all the distances the voters in Grand Ridge County live from
their nearest polling station.
(c)
• Enter the values for the lower and upper limits on the graph to show your confidence interval.
• For the point (), enter the claim 2.15 from the article.
0.000
0.000
2.000
99% confidence interval:
4.000
5.000
6.000
8.000
Does the 99% confidence interval you constructed contradict the claim made in the article?
Choose the best answer from the choices below.
X
10.000
10.000
3
No, the confidence interval does not contradict the claim. The mean of 2.15 km from the article is inside the 99%
confidence interval.
No, the confidence interval does not contradict the claim. The mean of 2.15 km from the article is outside the 99%
confidence interval.
Yes, the confidence interval contradicts the claim. The mean of 2.15 km from the article is inside the 99%
confidence interval.
Yes, the confidence interval contradicts the claim. The mean of 2.15 km from the article is outside the 99%
confidence interval.
X
5
Transcribed Image Text:(b) Based on your sample, graph the 99% confidence interval for the population mean of all the distances the voters in Grand Ridge County live from their nearest polling station. (c) • Enter the values for the lower and upper limits on the graph to show your confidence interval. • For the point (), enter the claim 2.15 from the article. 0.000 0.000 2.000 99% confidence interval: 4.000 5.000 6.000 8.000 Does the 99% confidence interval you constructed contradict the claim made in the article? Choose the best answer from the choices below. X 10.000 10.000 3 No, the confidence interval does not contradict the claim. The mean of 2.15 km from the article is inside the 99% confidence interval. No, the confidence interval does not contradict the claim. The mean of 2.15 km from the article is outside the 99% confidence interval. Yes, the confidence interval contradicts the claim. The mean of 2.15 km from the article is inside the 99% confidence interval. Yes, the confidence interval contradicts the claim. The mean of 2.15 km from the article is outside the 99% confidence interval. X 5
In anticipation of an upcoming election, officials in Grand Ridge County are looking at the distance from each voter's home to that voter's nearest polling
station. Assume that the population of all such distances for voters in Grand Ridge County is approximately normally distributed. An article for the newspaper
Keeping It Political claimed that the mean of this population is 2.15 km. You want to test this claim, so you select a random sample of 16 Grand Ridge County
voters, and for each you record the distance the voter lives from their nearest polling station.
Follow the steps below to construct a 99% confidence interval for the population mean of all the distances voters in Grand Ridge County live from their nearest
polling station. Then state whether the confidence interval you construct contradicts the reporter's claim. (If necessary, consult a list of formulas.)
(a) Click on "Take Sample" to see the results for your random sample.
Take Sample
Sample size:
0
Point estimate:
0
Sample standard deviation:
Critical value:
0
Number of people
Compute
16
Enter the values of the sample size, the point estimate of the mean, the sample 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".
Sample mean
4.867
Standard error:
Margin of error:
Sample standard
deviation
99% confidence interval:
2.324
Critical values
¹0.005 2.947
¹0.010 2.602
¹0.025=2.131
¹0.050 1.753
0.100 1.341
Transcribed Image Text:In anticipation of an upcoming election, officials in Grand Ridge County are looking at the distance from each voter's home to that voter's nearest polling station. Assume that the population of all such distances for voters in Grand Ridge County is approximately normally distributed. An article for the newspaper Keeping It Political claimed that the mean of this population is 2.15 km. You want to test this claim, so you select a random sample of 16 Grand Ridge County voters, and for each you record the distance the voter lives from their nearest polling station. Follow the steps below to construct a 99% confidence interval for the population mean of all the distances voters in Grand Ridge County live from their nearest polling station. Then state whether the confidence interval you construct contradicts the reporter's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Take Sample Sample size: 0 Point estimate: 0 Sample standard deviation: Critical value: 0 Number of people Compute 16 Enter the values of the sample size, the point estimate of the mean, the sample 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". Sample mean 4.867 Standard error: Margin of error: Sample standard deviation 99% confidence interval: 2.324 Critical values ¹0.005 2.947 ¹0.010 2.602 ¹0.025=2.131 ¹0.050 1.753 0.100 1.341
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