Question: A researcher is evaluating the pain-relief effectiveness of a new medication by comparing pain tolerance for a sample of n=10 people who receive the medication with pain tolerance for a sample of n=10 people who receive an inactive placebo. The scores for the placebo group produce a mean of M=38 with SS=150.

a. If the scores for the medication group have a mean of M=42 with SS=210, are the data sufficient to conclude that the medication has a significant effect? Use a two-tailed test with α = .05.

b. In part a, the medication group averaged 4 points higher than the control group, indicating that the medication had a 4-point effect. If the effect was 8 points, so the medication group had a mean of M=46 with SS=210, would the data be sufficient to conclude that there is a significant effect? Again, use a two-tailed test with α=.05.