A political newspaper, Politically Sound, is interested in the distances voters in Vanville County live from their nearest polling station. Politically Sound has hired you to estimate the population mean of all such distances for voters in this county. To estimate this population mean, you select a random sample of 17 Vanville County voters and record the distance (in km) each voter lives from their nearest polling station. Assume the population is approximately normally distributed. Based on your sample, follow the steps below to construct a 99% confidence interval for the population mean of all the distances voters in Vanville County live from their nearest polling station. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Sample standard Number of voters Sample mean Take Sample 17 4.179 deviation 2.023 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 size: Point estimate: Standard error: Sample standard deviation: Margin of error: Critical value: Confidence level Critical value 99% 10.005 = 2.921 99% confidence interval: 95% 10.025 = 2.120 Compute 90% 10.050 1.746 (b) Based on your sample, enter the lower and upper limits to graph the 99% confidence interval for the population mean of all the distances voters in Vanville County live from their nearest polling station. 0.000 99% confidence interval: 10.000 0.000 2.000 4.000 6.000 8.000 10.000