Data on the numbers of hospital admissions resulting from motor vehicle crashes are given below for fridays on the 6th of a month and fridays on the following 13th of the same month. assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. construct a 95% confidence interval estimate of the mean of the population of differences between hospital admissions. use the confidence interval to test the claim that when the 13th day of a month falls on a friday, the numbers of hospital admissions from motor vehicle crashes are not affected. in this example, mu d is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the number of hospital admissions on friday the 6th minus the number of hospital admissions on friday the 13th. find the 95% confidence interval.