A researcher is testing the effect of a new depression pill that may have side effect on reducing physical fitness. A sample of n = 125 college students is obtained and each student takes the supplement daily for six weeks. At the end of the 6-week period, each student is given a standardized fitness test and the average score for the sample is M = 33. For the general population of college students, the distribution of test scores is normal with a mean of µ = 35 and a standard deviation of ? = 10.
a.) Do students taking the supplement have significantly worse fitness scores? Use a one?tailed test with alpha = .05.
b.) what is the effect size?
Explain answer and show work, please.