The U.S. Census Bureau publishes information on the ages of…

The U.S. Census Bureau publishes information on the ages of married people in Current Population Reports. Suppose that we want to decide whether, in the United States, the mean age of married men differs from the mean age of married women. 10 married couples were selected at random and the data on ages, in years, are as follows:  Couple Husband Wife 1 59 53 2 21 22 3 33 36 4 78 74 5 70 64 6 33 35 7 68 67 8 32 28 9 54 41 10 52 44 a. Is there enough evidence to infer at the 5% significance level that the mean age of married men differs from the mean age of married women? Conduct a hypothesis test to test the hypothesis. (7 pts) b. Obtain a 95% confidence interval for the difference between mean ages of married men and married women. (3pts)