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PSY3401 Basic Statistics For Research Homework 3 It covers chapter 8 and 9. Total points 20 Please show your decision process clearly and completely. Without sufficient details, I would not give your credits. A researcher is testing the effectiveness of a new herbal supplement that claims to improve physical fitness. A sample of n = 16 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 - 39. 1) If we know for the general population of college students, the distribution of test scores is normal with a mean of u = 34 and a standard deviation of o = 9. Do students taking the supplement have significant effect on fitness scores? a - .05. (8 points) 2) Following question 1), compute the Cohen's d to estimate the effect size. (2 points) 3) If we don't know population's standard deviation, only know population mean u = 34, but we measured sample's standard deviation is s=10, does the supplement have significant effect on fitness scores? a = .05. (8 points) 4) Following question 3), calculate the Cohen's d to estimate the effect size. (2 points)