For these questions, the data set is given at this text's website. Assume that the data sets are from random samples and the distributions are Normal.
a. Find a 95% confidence interval for the difference between means, state whether it captures 0, and explain what that shows about the means.
b. Perform a hypothesis test to see whether the means are significantly different using a significance level of 0.05. Explain your conclusion clearly.
Shoes Compare the numbers of pairs of shoes for men and women. (Source: StatCrunch Survey: Responses to Shoe survey. Owner: scsurvey)