Question: 4. Use R commands and the information given in Exercise 2 in Section 8.3, that is, n = 36, S = 4.1, H0 :

4. Use R commands and the information given in Exercise 2 in Section 8.3, that is, n = 36, S = 4.1, H0 : μ = 1 vs Ha : μ > 1, and α = 0.05, to complete the following.

(a) Find the probability of type II error when the true concentration is 2 ppm.

(b) OSHA would like the probability of type II error not to exceed 1% when the true concentration is 2 ppm, while keeping the level of significance at 0.05. What sample size should be used?

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