Clarion has instituted a program by which they want to admit only students of above average heights. Clarion wants to become a basketball power house

They will screen students and assess their progress by comparing the variance of the heights of the incoming classes with historical norms. The norms will be taken to be last year, and the first class to be sampled is this year's class

assume Q 2/0=18.195 inches. This means that our historical variance in heights is 18.195 inches

use your entire data set of 20 students as a sample to see if Clarion is meeting its goals. Test at the a=.05 significance level.

height of 20 in inches

72

71

61

70

72

68

62

63

65

68

65

74

70

69

70

69

74

78

78

74

avg=69.65