A political newspaper, Keeping It Political, is interested in the distances voters in Vanville County live from their nearest polling station. Keeping It Political 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 22 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 90% condence 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'I to see the resulls for your random sample. 5 I t d d Number of voters Sample mean amp e s an ar deviation Take Sample 22 4.795 2.312 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% condence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute". Sample size: X ? 0 Standard error: Point estimate: Sample standard deviation: Margin of error: Confidence level Critical value Critical value: 99% to.005 = 2.831 90% confidence interval: 95% 0.025 = 2.080 Compute 90% to.050 = 1.721 (b) Based on your sample, enter the lower and upper limits to graph the 90% confidence interval for the population mean of all the distances voters in Vanville County live from their nearest polling station.