Question: Suppose that we test the null hypothesis that = 100 against the alternative that = 100. The distribution is normal with its variance

Suppose that we test the null hypothesis that μ = 100 against the alternative that

μ

= 100. The distribution is normal with its variance unknown. We have just two observations, X1 = 105 and X2 = 105 +

a. Find a such that the null hypothesis is rejected at the significance level α = 0.05?

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