For a fixed sample size how do beta11 and beta 15 compare, Basic Statistics

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For a fixed sample size how do beta11 and beta 15 compare

Recall that the probability of a type II error depends on the alternative specific value of the population parameter. Consider a hypothesis test with

H₀ : μ = 10

and

H_a : μ > 10

a. For a fixed sample size, how do β(11) and β (15) compare? Are these two values approximately the same or different? If they are different, which is smaller, and why?

b. What happens to b(ma) as ma increases (gets farther and farther away from 10)?

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Basic Statistics: For a fixed sample size how do beta11 and beta 15 compare

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Basic Statistics: For a fixed sample size how do beta11 and beta 15 compare

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