A random sample of n = 9 individuals is selected from a population with m = 20, and a treatment…

A random sample of n = 9 individuals is selected from a population with m = 20, and a treatment is administered to each individual in the sample. After treatment, the following scores are observed:

a. Compute the sample mean and variance.

b. How much difference is there between the mean for the treated sample and the mean for the original population? (Note: In a hypothesis test, this value forms the numerator of the t statistic.)

c. If there is no treatment effect, what is the typical difference between the sample mean and its population mean? That is, find the standard error for M. (Note: In a hypothesis test, this value is the denominator of the t statistic.)

d. Based on the sample data, does the treatment have a significant effect? Use a two-tailed test with a = .05.

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