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A researcher wants to study the average lifetime of a certain brand of rechargeable batteries (in...

A researcher wants to study the average lifetime of a certain brand of rechargeable batteries (in hours). In testing the hypotheses, H0: μ = 950 hours vs. H1: μ ≠ 950 hours, a random sample of 25 rechargeable batteries is drawn from a normal population whose standard deviation is 200 hours.

  1. a) Calculate β, the probability of a Type II error when μ = 1000 and α = 0.10.

  2. b) Calculate the power of the test.

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