In: Statistics and Probability
A psychologist is interested in investigating whether people who never owned a pet are happier after getting a pet. A questionnaire about their level of happiness is administered to a group of 20 to 29 year-olds when they before they get a pet and after they get a pet. The data are below.
| 
 Before Pet  | 
 After Pet  | 
|
| 
 10  | 
 15  | 
|
| 
 9  | 
 9  | 
|
| 
 11  | 
 10  | 
|
| 
 11 5 9  | 
 19 17 15  | 
Calculate a t-statistic to compare the happiness levels before and after getting a pet. The variance for the difference scores is sD2 = 24. Show your work.
Assume that the psychologist uses an =.05, two-tailed, df = (6-1) = 5. The tcritical value = +2.57 and the p-value associated with their t-test statistic was p = .055. Should the psychologist reject or fail to reject the null hypothesis, and why?
Calculate the estimated Cohen’s d to measure the effect size for this study.
Interpret your results as if you were reporting them for a journal article. Use APA style.