Oishi and Shigehiro (2010) report that people who move from home to home frequently as children tend to have lower than average levels of well-being as adults. To further examine this relationship, a psychologist obtains a sample of n = 12 young adults who each experienced = or more different homes before they were 16 years old. These participants were given a standardized well-being questionnaire for which the general population has an average score of µ = 40. The well-being scores for this sample are as follows:
38, 37, 41, 35, 42, 40, 33, 33, 36, 38, 32, 39.
a. On the basis of this sample, is well-being for frequent movers significantly different from wellbeing in the general population? Use a two-tailed test with a = .05.
b. Compute the estimated Cohen's d to measure the size of the difference.
c. Write a sentence showing how the outcome of the hypothesis test and the measure of effect size would appear in a research report.