Illustration 11 The heights of 12 students taken at random from St. Nicholas College, which has 1,000 students and a standard deviation of height as 10 inches, are recorded in inches as 65, 67, 63, 69, 71, 70, 65, 68, 63, 72, 61 and 66. Do the data support the hypothesis that the mean height of all the students in that college is 68 2 inches? H = 682 ic. the mean height is 68.2 inches against Hu 68 2, c. the mean height is not 68 2 inches Thic critical region for this two-tailed test is when a = 0.05 WIZI 2196 w 12.12 2.58 when a = 0.01 X-68.2 where 2 = SE(X) n this case 65 +67 +63 +69 + 71 + 70 +65 +68 +63 + 72 +61 + 66 12 = 66 67 inches = sample size = 12 N = population size = 1000, o = population S.D. = 10 sches N- SE (X) = n VN-1 10 1000 - 12 1000 - 1 2.9027 inches 66.67 - 682 Zo = = 0.527 2.9027 Soon