2. Let X~ N (0,0²) and {X; : i = 1, 2, ..., n} be a random sample from X. Suppose that we are interested in testing of Ho: o² = 0 vs H₁:0² = 01, where oo. Find a uniformity mostly powerful test with significance level a.
2. Let X~ N (0,0²) and {X; : i = 1, 2, ..., n} be a random sample from X. Suppose that we are interested in testing of Ho: o² = 0 vs H₁:0² = 01, where oo. Find a uniformity mostly powerful test with significance level a.
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
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Transcribed Image Text:2. Let X~ N (0,0²) and {X; : i = 1, 2, ..., n} be a random sample from X. Suppose that we
are interested in testing of
Ho: o² = 02
of vs H₁ : 0² = 0²,
1
where o o. Find a uniformity mostly powerful test with significance level a.
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