15. You independently draw a sample of 100 data points from a normal distribution. Suppose you know the distribution is N?,2 ( ? = 2) and you want to test the null hypothesis H0 : ? = 3 against the alternative hypothesis H1 : ? ? 3 a) Assume a significance level of ? = 0.05. Determine the rejection region. b) Suppose the 100 data points have sample mean 5. Give the Test Statistic and the p-value for this data. Should you reject H0?
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