Unformatted text preview: = ( area of the right tail ) = P ( Z ≥ 1.80 ) = 0.0359 . b) (7) If α = 0.075 is used, find ( the significance level ) and ( the power of the test if the true value of the overall average weight of adult hippo is μ = 5,678 ). Significance level = α = 0.075 . Test Statistic: σ is known. 16 400 500 , 5 X X Z σ μ== n . Rejection Region: Right  tailed. Reject H if Z > z α = 1.44. 16 400 44 . 1 500 , 5 X ⋅ + > = 5,644. Power ( μ = 5,678 ) = P ( Reject H  μ = 5,678 ) = P ( X > 5,644  μ = 5,678 ) = > 16 400 678 , 5 644 , 5 Z P = P ( Z > – 0.34 ) = 0.6331 ....
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 Fall '11
 STEPHANOV
 Statistics, Statistical hypothesis testing, Statistical significance, average weight, adult hippo, adult hippopotamus weights

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