.A random sample is selected from a normal population with a mean of = 30 and a standard deviation

of = 8. After a treatment is administered to the individuals in the sample, the sample mean is found to

beM =33.

a) If the sample consists ofn =16 scores, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with = .05. (13.5 pts)

b) If the sample consists ofn =64 scores, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with = .05.(13.5 pts)

c) Comparing your answers for parts a and b, explain how the size of the sample influences the outcome of an hypothesis test?(5.5pts)