Question: 10. A random sample is selected from a normal population with a mean of u = 30 and a standard deviation of o = 8.

10. A random sample is selected from a normal population with a mean of u = 30 and a standard deviation of o = 8. After a treatment is administered to the individuals in the sample, the sample mean is found to be M = 33. (Show how you got your answer)

a. If the sample consists of n = 16 scores, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with a = .05.

b. If the sample consists of n = 64 scores, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with a = .05.

c. Comparing your answers for parts a and b, explain how the size of the sample influences the outcome of a hypothesis test.

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