Question: Let *1, x2, ..., Xnbe random samples from N (, 1) population. Consider the following hypotheses Ho : =-2 . s. : --3 and

Let *1, x2, ..., Xnbe random samples from N (, 1) population.

Let *1, x2, ..., Xnbe random samples from N (, 1) population. Consider the following hypotheses Ho : =-2 . s. : --3 and the rejection region {T : a < -2.5}. 1. For n = 20, 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-Ill error Bis smaller than 0.01. (Hint: you need to round UP to the nearest integer.)

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