7.107 Accuracy of a laboratory scale, continued. Refer to the previous exercise. Suppose that instead of a confidence interval, the researchers want to perform a test (with α = 0.05) that the scale is unbiased (μ = 10).
(a) What sample size n is necessary to have at least 90% power when the alternative mean is μ = 10.001?
(b) Suppose they can only perform a maximum of n = 10 measurements. Based on your answer in part (a), will the power be more or less than 90%? Explain your answer.
(c) Verify your answer in part (b), by computing the power when n = 10.