In Exercises 9.191-9.196, we have given a hypothesis testing situation and

(i) The population standard deviation, σ,

(ii) A significance level,

(iii) A sample size, and

(iv) Some values of μa. For each exercise,

a. Determine the probability of a Type I error.

b. Apply Procedure 9.4 on page 425 to determine the probability of a Type II error for the first given value of μa.

c. Apply Procedure 9.5 on page 427 to construct a power curve based on the given values of μa.

The null and alternative hypotheses obtained in Exercise 9.15 on page 375 are, respectively,

H0: μ = 0.5 ppm

Ha: μ > 0.5 ppm,

Where μ is the mean cadmium level in Boletus pinicola mushrooms.

i. σ = 0.37

ii. α = 0.05

iii. n = 12

iv. μa = 0.55, 0.60, 0.65, 0.70, 0.75, 0.80, 0.85