unknown mean

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    Smallest µ such that H0 is rejected (hypothesis test, unknown mean)

    Let X1, X2, . . . , Xn be normal-distributed random variables with unknown mean µ and variance 1 and let X^- =1/n sum_{n=i}^n be their sample mean. Consider the one-sided hypothesis test with hypotheses H0 : µ0 < 0 and H1 : µ0 > 0 with parameters δ = 0.01 and n = 100. What is the smallest µ...