FOURTH QUARTER - WORKSHEET # 4 I QUIZ # 4 - TEST OF DIFFERENCE Name : WORKSHEEI' # 4 - TES'I' 0F DIFFERENCE 25m Direction: Answer the following items. A nationwide survey found out that the average time that college students spent on their personal computer is 18.5 hours per week. A random sample of 28 college students showed that they spent 8.5 hours per week using their computers with a standard deviation of 1.2 hours. Test whether the average number of hours spent by the 28 college students is signicantly higher than the national average of 18.5 hours. Use a level of signicance of 5%. 1. GIVEN: (choose the but answer. Write the low and the answer, 2pm) U. u =8.5 hours, n = 28 college students, 1 = 18.5 hours, 5 = 1.2 hours, a = 8.85 O. u =18.5 hours. n = 28 oollege students, .2 = 8.5 hours. 5 = 1.2 hours, a = 8.85 A. p = 8.5 hours, 11 = 18.5 hours, i = 28 college students, 5 = 1.2 hours, a = 8.85 2. STEP 1: IDENTIFY THE CLAIM AND FORMULATE THE HYPOTH'ES (choose the best answer. 1Write the letter and the answer, late) I. H, : the average number of hours spent by the 28 college students is equal to the national average of 18.5 hours. ( f = p ) H1 : the average number of hours spent by the 28 college students is lower than the national average of 18.5 hours. ( x 4: p) E. He : the average number of hours spent by the 28 college students is equal to the national average of 18.5 hours. ( 2 = u) H: : the national average of 18.5 hours is lower than the average number of hours spent by the 28 college students. (p 4: 2) A. He : the average number of hours spent by the 28 college students ls equal to the national average of 18.5 hours. ( .t - p) H: : the average number of hours spent by the 28 college students is higher than the national average of 18.5 hours. (i > u) U. He : the average number of hours spent by the 28 college students is signicantly lower than or equal to the national average of 18.5 hours. t .r = u) H: : the national average of 18.5 hours is higher than the average number of hours spent by the 28 college students. 01 s I) 3. STEP 2: SIGNIFICANCE LEVEL 8 TYPE OF TEST (choose the best answer. Write the letter and the answer, 2pm) I. o=0.85, two-tailed test 0. o=8.05, left-tailed test 0. a=o.os, right-tailed test 4. WHY? (choose the best answer. Write the letter and the answer. lots) A. Two-tailed because He : 8.5 = 18.5 E. lefttailed test because H1 : f |.1 O. righttailed test because H1 : p > f U. left-tailed because H1 : p