Researchers were interested in determining the amount of cash that men and women attending colleges across North Carolina typically carry in their wallets. Some of the researchers hypothesized that men would typically carry more cash on them then women would. Construct a 95 percent confidence interval for the difference in average cash on hand between male and female college students across the state of North Carolina. Assume the data below was collected from two random and independent samples where several hundred male and female students were sampled. Show all work.

Men:

20

30

35

40

40

45

45

45

50

50

50

50

52

54

55

60

60

60

70

75

Women:

20

20

30

35

35

40

40

40

45

45

45

50

50

50

52

60

60

60

60

60