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ud N(H, o2). Find the necessary sample size n and the value y so that Xn < y is the rejection region for testing Ho : µ 2 20 versus H1 : µ < 20, with the probability of type I error being 4.8% and the power at µ = 19.77 being 0.95. (You Let x1, X2, …· , Xn may use o = 0.3)

ud N(H, o2). Find the necessary sample size n and the value y so that Xn < y is the rejection region for testing Ho : µ 2 20 versus H1 : µ < 20, with the probability of type I error being 4.8% and the power at µ = 19.77 being 0.95. (You Let x1, X2, …· , Xn may use o = 0.3)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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iid Let x1, X2, . , Xn N(4, o2). Find the necessary sample size n and the value y so that Xn < y is the rejection region for testing Ho : u 2 20 versus H1 : µ < 20, with the probability of type I error being 4.8% and the power at u = 19.77 being 0.95. (You may use o = 0.3) The following`answers" have been proposed. (a) n = 18.66 z 19, and y = 19.8842. (b) n = 31.62 - 32, and y = 19.8842. (c) n = 18.66 z 19, and y = 17.1831. (d) n = 31.62 = 32, and y = 17.1831. (e) None of the above. The correct answer is (а) (b) (c) (d) (e) N/A (Select One)
Transcribed Image Text:iid Let x1, X2, . , Xn N(4, o2). Find the necessary sample size n and the value y so that Xn < y is the rejection region for testing Ho : u 2 20 versus H1 : µ < 20, with the probability of type I error being 4.8% and the power at u = 19.77 being 0.95. (You may use o = 0.3) The following`answers" have been proposed. (a) n = 18.66 z 19, and y = 19.8842. (b) n = 31.62 - 32, and y = 19.8842. (c) n = 18.66 z 19, and y = 17.1831. (d) n = 31.62 = 32, and y = 17.1831. (e) None of the above. The correct answer is (а) (b) (c) (d) (e) N/A (Select One)
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