Assume that SAT scores can be taken to be normally distributed
with a = 100. A sampling of 25 members of an entering freshman
class yields x = 580. We wish to test the hypotheses
at significance level 0.05. Evidence for H1 will suggest a decline in the test scores for this entering class.
(a) Find the critical region for this test.
(b) What decision is made between H0 and H1 ?
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