It appears that there is some truth to the old adage "That which doesn't kill us makes us stronger." Seery, Holman, and Silver (2010) found that individuals with some history of adversity report better mental health and higher well-being compared to people with little or no history of adversity. In an attempt to examine this phenomenon, a researcher surveys a group of college students to determine the negative life events that they experienced in the past = years and their current feeling of well-being. For n = 18 participants with 2 or fewer negative experiences, the average well-being score is M = 42 with SS = 398, and for n = 16 participants with = to 10 negative experiences the average score is M = 48.6 with SS = 370.
a. Is there a significant difference between the two populations represented by these two samples? Use a two-tailed test with a = .01.
b. Compute Cohen's d to measure the size of the effect.
c. Write a sentence demonstrating how the outcome of the hypothesis test and the measure of effect size would appear in a research report.