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In the survey of a random sample of students at a university, two questions were "How many hours per week do you usually study?" and "Have you smoked marijuana in the past six months?" An analysis of the results produced the following results:
A research question of interest is whether students who have smoked marijuana (Yes group) in the past 6 months study fewer hours on average per week than those who have not (No group).
A survey of a random sample of students at a university was taken on these two issues, which found the mean hours of study for the following 2 groups:
Sample size, n | mean hours of study | Standard deviation, | |
Yes, Used marijuana | 49 | 12.41 | 6.95 |
No use of marijuana | 150 | 15.53 | 8.79 |
Difference = mu (Yes) - mu (No )Calculate the value for the t-statistic for the difference between the two groups.
State your answer to three (3) decimal places only.