# To evaluate the effect of a treatment, a sample is obtained from a population with a mean of m =…

To evaluate the effect of a treatment, a sample is obtained from a population with a mean of m = 40, and the treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be M = 44.5 with a variance of s 2 = 36.

a. If the sample consists of n = 4 individuals, are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with a = .05?

b. If the sample consists of n = 16 individuals, are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with a = .05?

c. Comparing your answers for parts a and b, how does the size of the sample influence the outcome of a hypothesis test?

To evaluate the effect of a treatment, a sample of n 5 6 is obtained from a population with a mean of m = 80, and the treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be M = 72.

a. If the sample variance is s 2 = 54, are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with a = .05?

b. If the sample variance is s 2 = 150, are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with a = .05?

c. Comparing your answers for parts a and b, how does the variability of the scores in the sample influence the outcome of a hypothesis test?

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