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b) Find the value of c for which this test will have a significance level of 0.05. (Give your answer to 2 decimal places) N(H, 52), then whatis Hint: If X1,...,X15 the distribution of X? In particular, what is its distribution under H ?

b) Find the value of c for which this test will have a significance level of 0.05. (Give your answer to 2 decimal places) N(H, 52), then whatis Hint: If X1,...,X15 the distribution of X? In particular, what is its distribution under H ?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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X .Xs are a random sample from a N(u, 5) population. To test the hypothesis Ho : u = 110 vs H: = 112 a statistician uses the test: Reject H if X > c, where c is a %3D real number. a) Define the terms level of significance and power of a test. b) Find the value of c for which this test will have a significance level of 0.05. (Give your answer to 2 decimal places) Hint: If X,..Xs~ N(.5) then whatis the distribution of X? In particular, what is its distribution under H ? .... c) Determine the power of the test for the value of c found in (b).
Transcribed Image Text:X .Xs are a random sample from a N(u, 5) population. To test the hypothesis Ho : u = 110 vs H: = 112 a statistician uses the test: Reject H if X > c, where c is a %3D real number. a) Define the terms level of significance and power of a test. b) Find the value of c for which this test will have a significance level of 0.05. (Give your answer to 2 decimal places) Hint: If X,..Xs~ N(.5) then whatis the distribution of X? In particular, what is its distribution under H ? .... c) Determine the power of the test for the value of c found in (b).
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