in anticipation of an upcoming election officials in Rising Falls 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 Rising Falls County is approximately normally distributed An article for the newspaper Keeping It Political claimed that the mean of this population is 6 45 km You want to test this claim so you select a random sample of 22 Rising Falls County voters and for each you record the distance the voter lives from their nearest polling station Follow the steps below to construct a 90 confidence interval for the population mean of all the distances voters in Rising Falls 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 Compute 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 90 confidence interval Choose the correct critical value from the table of critical values provided When you are done select Compute 0 000 Number of people 0 000 22 2 000 Sample mean 4 795 Standard error 4 000 Margin of error 90 confidence interval b Based on your sample graph the 90 confidence interval for the population mean of all the distances the voters in Rising Falls County live from their nearest polling station Enter the values for the lower and upper limits on the graph to show your confidence interval For the point enter the claim 6 45 from the article 90 confidence interval 5 000 6 000 Sample standard deviation 2 312 O No the confidence interval does not contradict the claim The mean of 6 45 km from the article is inside the 90 confidence interval O No the confidence interval does not contradict the claim The mean of 6 45 km from the article is outside the 90 confidence interval O Yes the confidence interval contradicts the claim The mean of 6 45 km from the article is inside the 90 confidence interval O Yes the confidence interval contradicts the claim x Critical values 10 005 2 831 10 010 2 518 10 025 2 080 10 050 1 721 10 100 1 323 8 000 X c Does the 90 confidence interval you constructed contradict the claim made in the article Choose the best answer from the choices below 10 000 10 000 S EE A M