Hypothesis testing about a difference in population means between two groups 1. Seymour is interested in whether Albany

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Hypothesis Testing About A Difference In Population Means Between Two Groups 1 Seymour Is Interested In Whether Albany 1 (41.97 KiB) Viewed 124 times

Hypothesis testing about a difference in population means between two groups 1. Seymour is interested in whether Albany students who live in dormitories are significantly more involved in campus life than students who commute to campus. He selected a sample of 350 UAlbany students and asked where they live and the number of hours per week they devote to extracurricular activities. Based on his sample, he got the following sample statistics. (12.5pts) Residential students Commuter students X = 12.4 X2 =10.2 Si = 2.0 S2 = 1.8 N = 170 N2 = 180 a) Using the significance level of .05, test the null hypothesis that the mean hours per week spent for extracurricular activities for residential students who live in dormitories are less than or equal to the mean hours for commuter students. (Round all calculations to 3 decimal places) b) Is the difference in mean observed in the samples statistically significant? Explain why, using the language of probability c) What is your conclusion? Is there a relationship between the variables statistically significant? Interpret the results in terms of the original research question.