(Ch13-prob set-Q4) Please answer all questions in the image by using the background knowledge listed below. Then refer to the image. Background info: A 4th grade teacher suspects that the time she gives a test & what snack her students eat before the test effects their performance. To test this, she assigns 90 students to one of 3 groups. 1 group gets gummy bears (candy) for 955am snack, another gets tofu (high protein snack), and the other gets doesn't get a snack. She also randomly assigns 10 of the students in each group to take the test at 3 different times: 10am (right after snack), 11am (1hr after snack), and 12pm (right before lunch).

Suppose that the teacher uses a two-factor independent-measures ANOVA to analyze these data. Without post hoc tests, which of the following questions can be answered by this analysis? (Note: Assume that receiving no snack is considered one type of snack.) Check all that apply. Is there a difference among the scores for the snack types because a candy snack increases the students' level of happiness, which causes them to exert more effort on the test? Does the effect of the timing of the test depend on the type of snack the students eat? D Does student performance on the test depend on the time of the test? Do students who eat a protein snack score higher than students who have no snack? In the following table are the mean test scores for each of these nine different combinations of snack type and test timing. Factor B: Time of Test 10:00 AM 11:00 AM 12:00 PM Candy Snack M - 92.0 M - 84.0 M - 88.0 M - 83.0 Factor A: Type of Snack Protein Snack M = 88.5 M = 8B.0 M = 87.5 M = 88.0 No Snack M - 90.0 M - 91.0 M - 83.0 M = 88.0 M = 90.2 M = 87.7 M = 86.2 The following graph shows the me answer the following questions. candy snack n Test Score protein snack 10 00 AM 11:00 AM 12 10 PM Time Tez Is Admirizoned Examining the graph and the table of means, which of the following using a two-factor an variance? Check all that apply. There is no interaction between of snack and the tim H 10-0 AM = 1120 AM - H12:00 PM Haandy - Upestan - Hoo mack Which of the following statements must apply. ) The populations defined by the nine treat n type of snack an The populations defined by the nine ist time The test scores within each of the nine samples (one for each treatment condition) are independent. The populations defined by the nine treatment conditions have equal variances regardless of snack type or test time