Question: A random sample is selected from a normal population with a mean of m 5 40 and a standard deviation of s 5 10. After

A random sample is selected from a normal population with a mean of m 5 40 and a standard deviation of s 5 10.

After a treatment is administered to the individuals in the sample, the sample mean is found to be M 5 46.

a. How large a sample is necessary for this sample mean to be statistically significant? Assume a twotailed test with a 5 .05.

b. If the sample mean were M 5 43, what sample size is needed to be significant for a two-tailed test with a 5 .05?

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