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Siegel (1990) found that elderly people who owned dogs were less likely to pay visits to their doctors after upsetting events than were those who

Siegel (1990) found that elderly people who owned dogs were less likely to pay visits to their doctors after upsetting events than were those who did not own pets. Similarly, consider the following hypothetical data. A sample of elderly dog owners is compared to a similar group (in terms of age and health) who do not own dogs. The researcher records the number of visits to the doctor during the past year for each person. The data are as follows:

Control Group (Non-Pet Owners)

Pet Owners

10

7

8

4

7

9

9

3

13

7

7

6

12

Q3) Use the dataset above to calculate each of the following statistics. Note that the Control Group is the sample for Population 1 and the Pet Owners Group is the sample for Population 2.

  • x1 and x2 (1 point per sample mean)
  • df1 , df2, and dftotal (1 point per degree of freedom value)
  • o21 , o22 , and o2pooled (estimated population variances)
  • Correct computation of each population variance (1 point; .5 points each)
  • Correct equation used to compute pooled variance (1 point)
  • Correct pooled variance value obtained (1 point)

  • Standard error of the sample distribution
  • Correct equation used (1 point)
  • Correct value obtained (1 point)
  • tobtained
  • Correct equation used (1 point)
  • Correct value obtained (1 point)
  • State your hypotheses using both words and statistical notation
  • Null hypothesis in written and statistical notation form and independent and dependent variables are clearly stated (1 point)
  • Alternative hypothesis in written and statistical notation form and independent and dependent variables are clearly stated (1 point)
  • Calculate standard error (Note: This was calculated in Q1)
  • Correct value (1 point)
  • Determine the critical value (1 point)
  • Conduct hypothesis test
  • Correct equation (1 point)
  • Correct value (1 point)
  • Comparison of obtained t and critical t in either words or statistical notation form (1 point)
  • Make a decision about rejecting/failing to reject the hypothesis
  • Explicitly states reject or fail to reject (1 point)
  • Writes a 1-2 sentence conclusion interpreting the results (1 point)
  • Includes direct recommendation to assisted living facility about their pet policy based on results (2 points)

Writes correct conclusion using statistical notation (1 point)

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