a. A repeated-measures study with a sample of n = 16 participants produces a mean difference of M(D) = 4 with a standard deviation of s = 8.  Use a two-tailed hypothesis test with a = = .05 to determine whether it is likely that this sample came from a population with m(D) = 0.

b. Now assume that the sample means difference is M(D) = 10, and once again visualize the sample distribution.  Use a two-tailed hypothesis test with a = .05 to determine whether it is likely that this sample came from a population with m(D) = 0.

c. Explain how the size of the sample means difference influences the likelihood of finding a significant mean difference.