Women own on the average 25 pairs of shoes. This is based on a survey of female adults by Kelton Research for New York City - based Enslow, The Foot Comfort Center. Suppose a random sample of 30 female college graduate students is taken and the sample mean was 26.56 pairs of shoes with a sample standard deviation of 8.37. Does this sample provide sufficient evidence that the mean number of shoes for female graduate students is greater than the overall mean number for all female adults? Use a 0.05 level of significance.
a. State you decision and conclusion and explain how you reached your decision. Also please write down the formula you are using to find your test statistic
b. Find the 90% confidence interval to estimate the true mean umber of shoes for women based on this sample.