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Shady Acres Retirement Home currently has a no pets allowed rule. However the retirement home director believes that allowing retirees to own pet cats will

  1. Shady Acres Retirement Home currently has a "no pets allowed" rule. However the retirement home director believes that allowing retirees to own pet cats will have a positive effect on their health. To test this hypothesis, 18 retirees are selected from Shady Acres and half are randomly assigned to receive a real cat while the other half are assigned to receive a stuffed animal cat. To ensure that differences are not found between the groups because of differences in preexisting health concerns, the retirees are first matched on total number of preexisting health concerns, age, and sex before one member of each matched pair is randomly assigned to receive the real cat and the other receives a stuffed cat. At the end of a 6-month period, the number of doctor appointments attended by each of the retirees is obtained (as a measure of health; fewer appointments = better health).
Real Cat: Number of Doctor Appointments Stuffed Cat: Number of Doctor Appointments
6 7
7 7
5 6
4 4
5 6
6 6
5 7
6 7
5 6
  1. Write the null hypothesis using mathematical notation (2 pts.) H0: ____________
  2. Write the alternative hypothesis using mathematical notation (2 pts.)H1: ____________
  3. What is the mean number of doctor appointments for each group (2 pts.)? Real Cat: ____ Stuffed Cat: ___
  4. What is the correct sig value to use to interpret the comparison of doctor appointments (2 pts.)? ____________
  5. Using = .05, one-tailed, should we reject or retain the null hypothesis (2 pts.)? ____________
  6. What is the mean difference between the numbers of doctor appointments for the groups (1 pt.)? ____________
  7. What is the effect size for the analysis (2 pts.)? ____________
  8. Write results of the analysis in APA notation: (2 pts.): ____________
  9. Was the retirement home director correct that allowing retirees to own pet cats will have a positive effect on their health? Should Shady Acres Retirement Home change the current "no pets allowed" rule? Specifically interpret the results of the analysis and explain any differences you may have found (6 pts.). ____________________________________________________________________________________

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