Question 8

For the following problem, calculate the corresponding statistical test and then write the numerical result.

13. Hypothesis test of the effect of marijuana use in college students. Many studies have been conducted to test the effects of marijuana use on mental abilities. In one such study, memory recall ability was tested in groups of heavy and occasional marijuana users in college, with the results given below (based on data from "The Residual Cognitive Effects of Heavy Marijuana Use in College Students Pope and Yurgelun-Todd, Journal of the American Medical Association, vol. 275, no. 7). Use a significance level of 0.01 to test the claim that the population of frequent marijuana users has a lower mean than that of occasional users. Should college students be concerned about marijuana use?

Items sorted correctly by occasional marijuana users: n = 64, 53.3, s = 3.6 Items sorted correctly by frequent marijuana users: n= 65, x=51.3, s = 4.5

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