Question 2: a. Calculate the probability of a Type Il error for the following hypotheses when u = 37: Ho: u=40 H1: µ<40 The significance level is 5%, the population standard deviation is 5, and the sample size is 25. b. Repeat part(a) with a = 15%. c. Describe the effect on ß of increasing a. %3D

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**Question 2:**

a. Calculate the probability of a Type II error for the following hypotheses when μ = 37:

\[
H_0: \mu = 40
\]

\[
H_1: \mu < 40
\]

The significance level is 5%, the population standard deviation is 5, and the sample size is 25.

b. Repeat part(a) with α = 15%.

c. Describe the effect on β of increasing α.
Transcribed Image Text:**Question 2:** a. Calculate the probability of a Type II error for the following hypotheses when μ = 37: \[ H_0: \mu = 40 \] \[ H_1: \mu < 40 \] The significance level is 5%, the population standard deviation is 5, and the sample size is 25. b. Repeat part(a) with α = 15%. c. Describe the effect on β of increasing α.
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