Question: A random sample is selected from a normal population with a mean of = 40 and a standard deviation of = 10. After

A random sample is selected from a normal population with a mean of µ = 40 and a standard deviation of σ = 10. After a treatment is administered to the individuals in the sample, the sample mean is found to be M = 42.

a. How large a sample is necessary for this sample mean to be statistically significant? Assume a two-tailed test with α = .05.

b. If the sample mean were M = 41, what sample size is needed to be significant for a two-tailed test with α = .05?

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