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Chapters 8, 12, 14 Handout 1 1. An athletic director at a large university was asked to investigate the claim that the student athletes were doing less well than the average students in the university. Data supplied by the Office of Institutional Research revealed that the overall GPA for the university was 2.5 on a 4-point scale. To investigate the claim, the athletic director randomly selected 20 student athletes and obtained the current GPA for each. The sample mean for these 20 students was 2.45. The sample standard deviation was .54. Let alpha = .05. a. State the null and alternative hypothesis in words and symbols. b. Set up the criteria for making a decision. That is, find the critical value(s). c. Compute the appropriate test statistic. Show your work. d. Evaluate the null hypothesis (circle one) REJECT FAIL TO REJECT e. Based on your evaluation on the previous step (answer to part e), what is your conclusion? f. Based on your evaluation (answer to part e), as a researcher, would you be concerned with a Type I or a Type II error? TYPE I ERROR TYPE II ERROR
Chapters 8, 12, 14 Handout 2 g. Compute the 95% confidence interval. h. Interpret the 95% confidence interval. i. Compute the 99% confidence interval. j. Interpret the 99% confidence interval. k. Would your decision to reject or fail to reject the null hypothesis have changed if your critical value was based on an alpha of .01?
Chapters 8, 12, 14 Handout 3 2. A researcher seeks to test the hypothesis that coffee shops in Athens that have Pokémon lures generate more money than coffee shops that don't have lures. To test this hypothesis, she randomly samples 12 coffee shops that have Pokémon lures ad asks them how much money they've made in the last month. The sample had an average $16,718. Coffee shops in general made an average of $12,822 with a variance of $1,696. Set the alpha equal to .01 and test the hypothesis that coffee shops with Pokémon lures make more money than coffee shops without Pokémon lures. a. State the null and alternative hypothesis in words and symbols. b. Set up the criteria for making a decision. That is, find the critical value(s). c. Compute the appropriate test statistic. Show your work. d. Evaluate the null hypothesis (circle one) REJECT FAIL TO REJECT e. Based on your evaluation on the previous step (answer to part e), what is your conclusion? f. Based on your evaluation (answer to part e), as a researcher, would you be concerned with a Type I or a Type II error? TYPE I ERROR TYPE II ERROR
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