A team of university psychologists conducted a review of studies that examined the relationship between personality and aggressive behavior (Psychological Bulletin, Vol. 132, 2006). One variable of interest was the difference between the aggressive behavior level of individuals in the study who scored high on a personality test and those who scored low on the test. This variable, standardized to be between -7 and 7, was called "effect size." (A large positive effect size indicates that those who score high on the personality test are more aggressive than those who score low.) The researchers collected the effect sizes for a sample of n = 109 studies published in psychology journals. This data is saved in the PERAGGR file. A dot plot and summary statistics for effect size are shown in the MINITAB printouts at the bottom of the page. Of interest to the researchers is the true mean effect size µ for all psychological studies of personality and aggressive behavior.

a. Identify the parameter of interest to the researchers.
b. Examine the dot plot. Does effect size have a normal distribution? Explain why your answer is irrelevant to the subsequent analysis.
c. Locate a 95% confidence interval for m on the printout on p. 325. Interpret the result.
d. If the true mean effect size exceeds 0, then the researchers will conclude that in the population, those who score high on a personality test are more aggressive than those who score low. Can the researchers draw this conclusion? Explain.

Transcribed Image Text:

3 EffSize SE Mean Variable StDev Mean 954 CI EffSize 109 0.6477 0.8906 0.0853 (0.4786, 0.8167) .....