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409Hw05ans - STAT 409 Homework#5(due Thursday October 1 by...

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STAT 409 Homework #5 Fall 2009 (due Thursday, October 1, by 4:00 p.m.) From the textbook: 6.6-2 For these 9 weights, x = 20.90, s = 1.858. a) A point estimate for σ is s = 1.858. b) 180 . 2 858 . 1 8 , 54 . 17 858 . 1 8 2 2 = [ 1.255, 3.559 ] . c) 733 . 2 858 . 1 8 , 51 . 15 858 . 1 8 2 2 = [ 1.334, 3.179 ] . 6.6-4 a) s 2 = 0.2372. 816 . 3 2372 . 0 11 , 92 . 21 2372 . 0 11 = [ 0.119, 0.684 ] . b) [ 119 . 0 , 684 . 0 ] = [ 0.345, 0.827 ] . c) 377 . 4 2372 . 0 11 , 548 . 25 2372 . 0 11 = [ 0.320, 0.772 ] .
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6.6-8 n = 10, 2 x s = 0.0040, m = 9, 2 y s = 0.0076. a) 2 2 y x s s = 0076 . 0 0040 . 0 = 0.5263. b) ( 29 ( 29 - - - - 1 , 1 α , 1 , 1 α 1 2 2 2 2 2 2 y x F y x F s s n m s s m n F 0.025 ( 9, 8 ) = 4.36, F 0.025 ( 8, 9 ) = 4.10. 0076 . 0 0040 . 0 10 . 4 , 0076 . 0 0040 . 0 36 . 4 1 ( 0.1207 , 2.1579 ) 6.6-10 n = 16, x s = 0.197, m = 13, y s = 0.318. ( 29 ( 29 - - - - 1 , 1 α , 1 , 1 α 1 2 2 2 2 2 2 y x F y x F s s n m s s m n F 0.025 ( 15, 12 ) = 2.62, F 0.025 ( 12, 15 ) = 2.48. 318 . 0 197 . 0 .48 2 , 318 . 0 197 . 0 62 . 2 1 2 2 2 2 ( 0.3827 , 0.9756 )
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6.7-2 n = 200, y = 142. 200 142 ˆ = = n y p = 0.71. ( n p p z p ˆ 1 ˆ ˆ 2 - ± α .
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