hw10 - 7.30. H0 : = 3 v.s. H1 : = 3 test statistic: X ....

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7.30. H 0 : μ = 3 v.s. H 1 : μ 6 = 3 test statistic: ¯ X . rejection region: { ¯ X 2 . 996 or ¯ X 3 . 004 } . (a) P ( type I error ) = P ( reject H 0 | H 0 is true ) = P ( ¯ X 2 . 996 or ¯ X 3 . 004 | μ = 3) = P ( ¯ X 2 . 996 | μ = 3) + P ( ¯ X 3 . 004 | μ = 3) = P ( Z ≤ - 0 . 8764) + P ( Z 0 . 8764) = 0 . 3788 (b) P ( type II error ) = P ( do not reject H 0 | μ = 3 . 005) = P (2 . 996 < ¯ X < 3 . 004 | μ = 3 . 005) = P ( - 1 . 9718 < Z < - 0 . 2191) = 0 . 3885 7.32. H 0 : μ = 100 v.s. H 1 : μ < 100 test statistic: ¯ X . one sided test, so rejection region
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This note was uploaded on 03/21/2010 for the course AMS 310 taught by Professor Mendell during the Fall '08 term at SUNY Stony Brook.

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