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 Politically Sound claimed that the mean of this population is 4.82 km. You want to test this claim, so you select a random sample of 22 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 90% 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.)