Question: Let 1, X2, ..., Xn be random samples from N (, 1) population. Consider the following hypotheses Ho : = 2 v. s. H1

Let 1, X2, ..., Xn be random samples from N (, 1)

Let 1, X2, ..., Xn be random samples from N (, 1) population. Consider the following hypotheses Ho : = 2 v. s. H1 : u = 3 and the rejection region {a : x > 2.6}. 1. For n 15. the type-l error a is and the type-Il error Bis . (Please round to 2 significant figures.) 2. Calculate the smallest number of samples so that the type-Il error Bis smaller than (0.05. (Hint: you need to round UP to the nearest integer.)

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