stats 363 HW 8-6

# stats 363 HW 8-6 - Section 8.6 Exercise 8.39 given by A 95...

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Section 8.6 Exercise 8.39 . 1 2 is approximately given by ( x 1 x 2 ) ± 1 : 96 s s 2 1 n 1 + s 2 2 n 2 . ( a ) If n 1 = 35, n 2 = 49, x 1 = 12 : 7, x 2 = 7 : 4, s 2 1 = 1 : 38, s 2 2 = 4 : 14, then (12 : 7 7 : 4) ± 1 : 96 s 1 : 38 35 + 4 : 14 49 = 5 : 3 ± 0 : 690 or 4 : 61 1 2 < 5 : 99. ( b ) Because the value 1 2 likely that 1 = 2 . We should conclude that there is a di±erence in the two population means. Exercise 8.41 . 1 2 is approximately given by ( x 1 x 2 ) ± 1 : 96 s s 2 1 n 1 + s 2 2 n 2 . ( a ) If n 1 = 30, n 2 = 30, x 1 = 167 : 1, x 2 = 140 : 9, s 1 = 24 : 3, s 2 = 17 : 6, then (167 : 1 140 : 9) ± 1 : 96 s (24 : 3) 2 30 + (17 : 6) 2 30 = 26 : 2 ± 2 : 316 or 15 : 463 1 2 < 36 : 937. ( b ) Because the value 1 2 likely that 1 = 2 . We should conclude that there is a di±erence in the two

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stats 363 HW 8-6 - Section 8.6 Exercise 8.39 given by A 95...

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