Assume X₁,...,X10 are iid N(µ,16). Consider the test Ho : μ > 10 →→ Ha : μ < 10. Assume we reject Ho if X ≤ 7.5. a) Compute the type I error probability when u = 10.5. b) Compute the type II error probability when µ = 9. (c) Find the significance level of such test.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 30E
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Assume X₁,...,X₁0 are iid N(μ, 16). Consider the test
Ho: μ ≥ 10 → Ha: µl < 10.
Assume we reject Hoif X ≤ 7.5.
Compute the type I error probability when u = 10.5.
(b) Compute the type II error probability when µ = 9.
(c) Find the significance level of such test.
Transcribed Image Text:Assume X₁,...,X₁0 are iid N(μ, 16). Consider the test Ho: μ ≥ 10 → Ha: µl < 10. Assume we reject Hoif X ≤ 7.5. Compute the type I error probability when u = 10.5. (b) Compute the type II error probability when µ = 9. (c) Find the significance level of such test.
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