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 :

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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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