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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 = 34 and a standard deviation of = 9.Do students taking the supplement have significant effect on fitness scores? Please conduct a two tailed test at = .05.