We have a random variable X is distributed by N(µ,1) where u is unknown. We collect a sample of 25 items. We would like to decide between Ho: μ= 10 , H: µ = 10.5. a. Design a test with significance level a = 0.05. b. What is the type II error probability ß for your test? c. Suppose the observed sample mean is X = 10.2. What would be the smallest significance level that results in rejecting H,?

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