Suppose the population distribution is normal with known s. Let g be such that . For testing

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Suppose the population distribution is normal with known s. Let g be such that . For testing versus , consider the test that rejects H0 if either or , where the test statistic is

.

a. Show that .

b. Derive an expression for . [Hint: Express the test in the form “reject H0 if either .”]

c. Let . For what values of g (relative to

a) will

?

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