Mth562-HW8-6

# Mth562-HW8-6 - MTH/STA 562 Exercise 8.42. (a) First...

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MTH/STA 562 Exercise 8.42 . ( a ) First calculate b p = Y n = 268 500 = 0 : 536 : p is b p z 0 : 01 s b p (1 ± b p ) n = 0 : 536 2 : 33 s (0 : 536) (0 : 464) 500 = 0 : 536 & 0 : 052 or (0 : 484 ; 0 : 588). ( b ) Since the interval does not include p = 0 : 51, we cannot conclude that there is a di±erence in the graduation rates before and after Proposition 48. Exercise 8.43 . First calculate b p = Y n = 1912 2374 = 0 : 805 : p is b p z 0 : 005 s b p (1 ± b p ) n = 0 : 805 2 : 33 s (0 : 805) (0 : 195) 2374 = 0 : 805 & 0 : 021 or (0 : 784 ; 0 : 826). Exercise 8.44 is Y z 0 : 025 S p n = 5 : 4 1 : 96 3 : 1 p 500 = 5 : 4 & 0 : 27 or (5 : 13 ; 5 : 67). Exercise 8.45 . ( a ) Since b p = 2 3 and n interval for p is b p z 0 : 05 s b p (1 ± b p ) n = 2 3 1 : 645 v u u t 2 3 1 3 ± 2374 = 0 : 667 & 0 : 052 or (0 : 615 ; 0 : 719). ( b ) Since the entire interval is greater than one-half, it is believable that most of children in the group think that they would like to experience space travel.

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Exercise 8.46 is Y z 0 : 025 S p n = 4 : 2 1 : 96 1 : 5 p 75 = 4 : 2 & 0 : 34 or (3 : 86 ; 4 : 54). Exercise 8.47 1 ± 2 is Y 1 ± Y 2 ± z 0 : 025 s S 2 1 n 1 + S 2 2 n 2 = (167 : 1 ± 140 : 9) 1 : 96 s (23 : 4) 2 30 + (17 : 6) 2 30 = 26 : 2 10 : 477 or (15 : 723 ; 36 : 677).
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## Mth562-HW8-6 - MTH/STA 562 Exercise 8.42. (a) First...

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