Question: 2. (16 points) A math teacher is interested in how different types of incentives (rewards) will affect the amount of optional (but helpful) homework completed

2. (16 points) A math teacher is interested in how different types of incentives (rewards) will affect the amount of optional (but helpful) homework completed by students. She randomly assigns students to one of three groups: - Extra credit - Students receive extra credit for each optional assignment submitted - Praise - Students receive praise ("good job!") for each completed assignment - Control - Students no reward for each completed assignment At the end of the semester. she counts how many optional homework assignments each student completed. The sample size (n) is 1_5 for each group. a. What is the null hypothesis in symbols? b. What is the alternative hypothesis in words? c. What is the dfbemen? d. What is the df 9 within ' e. Using your answers to c. and d., find the critical value of F in the F table. Use an alpha level of .05. f. Below are some of the data, including the mean number of optional assignments completed by each group. Complete the table. PLEASE show work in a neat and organized manner. There is room on the next page as well. Extra credit Praise Control M : 20 M : 17 M : 12 n : 15 n : 15 n : 15 SOURCE SS Between 490 Total 2512 | l W\" |:|

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