A cognitive psychologist decided to investigate whether two beliefs about healthy living had any real impact...

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A cognitive psychologist decided to investigate whether two beliefs about healthy living had any real impact on performance in college. She took 40 first-semester college student volunteers and randomly assigned half to eat breakfast every day and the other half to skip breakfast every day. This was crossed with another variable. Half the students were randomly assigned to sleep at least 8 hours a night and half were randomly assigned to sleep less than 8 hours a night. At the end of the semester, she recorded each participant's GPA. The following data were obtained: Breakfast Eat Breakfast Skip Breakfast Breakfast Interaction > 8 hours M = 3.26 M = 3.08 M = 3.17 Within Groups Total Sleep < 8 hours M = 3.20 M = 2.76 M = 2.98 (a) Fill in the missing values in the ANOVA table, marking significant Fs with an asterisk* (7 points): Source SS df F Between Groups 2.38 Sleep 0.77 M = 3.23 M = 2.93 8.05 MS 0.97 (b) What are the hypotheses for this analysis in proper hypothesis notation? (3 points) (c) What would be the appropriate post-hoc tests to conduct for this analysis? Explain your answer (2 points). (d) Does eating breakfast affect GPA differently if different amounts of sleep are involved? Explain your answer. (2 points) (e) Sketch one graph to capture all of the study results. Imagine that you are explaining this graph to someone else. What effect(s) are shown in the graph and how would you explain the results? (4 points) A cognitive psychologist decided to investigate whether two beliefs about healthy living had any real impact on performance in college. She took 40 first-semester college student volunteers and randomly assigned half to eat breakfast every day and the other half to skip breakfast every day. This was crossed with another variable. Half the students were randomly assigned to sleep at least 8 hours a night and half were randomly assigned to sleep less than 8 hours a night. At the end of the semester, she recorded each participant's GPA. The following data were obtained: Breakfast Eat Breakfast Skip Breakfast Breakfast Interaction > 8 hours M = 3.26 M = 3.08 M = 3.17 Within Groups Total Sleep < 8 hours M = 3.20 M = 2.76 M = 2.98 (a) Fill in the missing values in the ANOVA table, marking significant Fs with an asterisk* (7 points): Source SS df F Between Groups 2.38 Sleep 0.77 M = 3.23 M = 2.93 8.05 MS 0.97 (b) What are the hypotheses for this analysis in proper hypothesis notation? (3 points) (c) What would be the appropriate post-hoc tests to conduct for this analysis? Explain your answer (2 points). (d) Does eating breakfast affect GPA differently if different amounts of sleep are involved? Explain your answer. (2 points) (e) Sketch one graph to capture all of the study results. Imagine that you are explaining this graph to someone else. What effect(s) are shown in the graph and how would you explain the results? (4 points)

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