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Researchers sought to examine the effect of various types of music on agitation levels in patients who are in the early stage of Alzheimer's disease.

Researchers sought to examine the effect of various types of music on agitation levels in patients who are in the early stage of Alzheimer's disease. Patients were selected to participate in the study based on their stage of Alzheimer's disease. Participants were randomly assigned to listen to one of three music types: Easy listening, Mozart, and Lady Gaga. While listening to music, agitation levels were recorded for the patients with a high score indicating a higher level of agitation. Scores are recorded below.

Mozart Easy Listening Lady Gaga
9 29 13
12 26 22
10 30 11
5 24 17
9 26 20
13 22 8
20 29 7
15 11 18
12 16 10
8 24 4

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  1. What is the null hypothesis in this study?
  2. What is the alternate hypothesis?
  3. What probability should you use and why?
  4. What are the degrees of freedom?
  5. What is your computed answerFvalue?
  6. Based on your F value, probability level, degrees of freedom, and critical value, can you reject the null hypothesis and conclude that there is a significant difference between at least two of the groups?
  7. Interpret your answer--are there differences among the groups? Explain which group differences are significant and which are not. Then, write one sentence summarizing these differences (if relevant).
  8. If you have made an error, would it be a Type I or a Type II error? Explain.

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