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and for the fixed null hypothesis Ho: Mo, let the test statistic = X - μo have a standard normal distribution when Ho is true. Give the significance level for each of the following situations: 1. The rejection region is {ê> 1.88} and Hai μ> μo : 2. The rejection region is {< -2.75} and H₁ μ< μo 3. The rejection region is {> 2.88 or < -2.88} and H₁ μμo :

and for the fixed null hypothesis Ho: Mo, let the test statistic = X - μo have a standard normal distribution when Ho is true. Give the significance level for each of the following situations: 1. The rejection region is {ê> 1.88} and Hai μ> μo : 2. The rejection region is {< -2.75} and H₁ μ< μo 3. The rejection region is {> 2.88 or < -2.88} and H₁ μμo :

Calculus For The Life Sciences
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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For a sample iid X1, X2,..., Xn N(μ, 1) and for the fixed null hypothesis Ho: μ = Mo, let the test statistic Ô = X – μo have a standard normal distribution when Ho is true. Give the significance level for each of the following situations: 1. The rejection region is {ô > 1.88} and H₁ : μ> μo 2. The rejection region is {Ô < -2.75} and H₁ : μ< μo 3. The rejection region is {Ô > 2.88 or Ô < -2.88} and H₁ : µ‡μo Hint Hint: Significance level is just another name for a, the probability of type I error
Transcribed Image Text:For a sample iid X1, X2,..., Xn N(μ, 1) and for the fixed null hypothesis Ho: μ = Mo, let the test statistic Ô = X – μo have a standard normal distribution when Ho is true. Give the significance level for each of the following situations: 1. The rejection region is {ô > 1.88} and H₁ : μ> μo 2. The rejection region is {Ô < -2.75} and H₁ : μ< μo 3. The rejection region is {Ô > 2.88 or Ô < -2.88} and H₁ : µ‡μo Hint Hint: Significance level is just another name for a, the probability of type I error
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Calculus For The Life Sciences
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