14. Suppose that XI. . . . , Xn are i.id. N(μ, σ 2). To test the null hypothesis Ho: μ- o, the test is often used: 灰 Under Ho, t follows a t distribution with n - 1 df. Show that the likelihood ratio test of this Ho is equivalent to the t test.

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 39E: Assume that the probability that an airplane engine will fail during a torture test is 12and that...
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14. Suppose that XI. . . . , Xn are i.id. N(μ, σ 2). To test the null hypothesis Ho: μ-
o, the test is often used:
灰
Under Ho, t follows a t distribution with n - 1 df. Show that the likelihood ratio
test of this Ho is equivalent to the t test.
Transcribed Image Text:14. Suppose that XI. . . . , Xn are i.id. N(μ, σ 2). To test the null hypothesis Ho: μ- o, the test is often used: 灰 Under Ho, t follows a t distribution with n - 1 df. Show that the likelihood ratio test of this Ho is equivalent to the t test.
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