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mont4e_sm_ch08_sec05

mont4e_sm_ch08_sec05 - Section 8-5 8-47 a 95 Confidence...

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Section 8-5 8-47 a) 95% Confidence Interval on the fraction defective produced with this tool. 04333 . 0 300 13 ˆ = = p 300 = n 96 . 1 2 / = α z 06637 . 0 02029 . 0 300 ) 95667 . 0 ( 04333 . 0 96 . 1 04333 . 0 300 ) 95667 . 0 ( 04333 . 0 96 . 1 04333 . 0 ) ˆ 1 ( ˆ ˆ ) ˆ 1 ( ˆ ˆ 2 / 2 / + + p p n p p z p p n p p z p α α b) 95% upper confidence bound 65 . 1 05 . 0 = = z z α 06273 . 0 300 ) 95667 . 0 ( 04333 . 0 650 . 1 04333 . 0 ) ˆ 1 ( ˆ ˆ 2 / + + p p n p p z p p α 8-17

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8-48 a) 95% Confidence Interval on the proportion of such tears that will heal. 676 . 0 ˆ = p 37 = n 96 . 1 2 / = α z 827 . 0 5245 . 0 37 ) 324 . 0 ( 676 . 0 96 . 1 676 . 0 37 ) 324 . 0 ( 676 . 0 96 . 1 676 . 0 ) ˆ 1 ( ˆ ˆ ) ˆ 1 ( ˆ ˆ 2 / 2 / + + p p n p p z p p n p p z p α α b) 95% lower confidence bound on the proportion of such tears that will heal. p p p n p p z p 549 . 0 37 ) 33 . 0 ( 676 . 0 64 . 1 676 . 0 ) ˆ 1 ( ˆ ˆ α 8-49 a) 95% confidence interval for the proportion of college graduates in Ohio that voted for George Bush. 536 . 0 768 412 ˆ = = p 768 = n 96 . 1 2 / = α z 571 . 0 501 . 0 768 ) 464 . 0 ( 536 . 0 96 . 1 536 . 0 768 ) 464 . 0 ( 536 . 0 96 . 1 536 . 0 ) ˆ 1 ( ˆ ˆ ) ˆ 1 ( ˆ ˆ 2 / 2 / + + p p n p p z p p n p p z p α α
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mont4e_sm_ch08_sec05 - Section 8-5 8-47 a 95 Confidence...

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