Given the two hypotheses and s 2 = 1000 (for both hypotheses): (a) Draw the distribution of X under.

Given the two hypotheses

and _2 = 1000 (for both hypotheses): (a)
Draw the distribution of X under both hypotheses. (b) If the decision rule is
chosen to be: reject  from a sample of size 40, find the
probability of a Type II error and the power of the test. (c) What happens to
these answers as the sample size is increased? Draw a diagram to illustrate.