The performance of 20 students on their final test on statistics in 1992 and for the second class of 20 students in 2017 is shown in the columns below.

Class of 1992 Class of 2017

80 100

91 99

91 94

80 94

74 94

74 88

73 88

75 81

76 88

73 89

73 80

69 88

67 76

68 75

68 63

68 61

68 53

57 55

58 56

59 82

Use the data to answer the following questions. NOTE:You may need to use the z-score table located in Appendix A of the text (p. 697)

Find the mean and standard deviation for the final scores in the two years, 1992 and 2017.

Suppose you scored an 85 on this exam. In which distribution is your test score the farthest above the mean? How far above the mean is your score in both of these distributions?

Admission to a (paid) summer internship program requires that students earn a C or better (70% or higher) on their statistics final exam. If we assume that scores (in both years) on this test are reasonably normally distributed, what percentage of students in 1992 and 2017 would qualify for this internship?