STA2300 Data Analysis - Tutoring 2

Question 3 (16 marks)
In this question, consider the data on the Waist girth and Navel girth of the California health and fitness clubs from the dataset Body.sav. The fitness specialists believe that the Waist girth of the California health and fitness clubs’ population is not different from their Navel girth. To find out if the mean Waist girth of the California health and fitness clubs’ population is different from that of their Navel girth, they wish to perform appropriate statistical analyses.

1. (3 marks) State appropriate hypotheses (define any symbols used) to perform an appropriate statistical test.
2. (2 marks) State (but do not check) the assumptions required for the validity of the test. Describe the assumptions in the context of the study.
3. (3 marks) Without using SPSS, calculate the value of the appropriate test statistic to test the hypotheses in part (a). [You can use appropriate sample statistics (e.g., mean and standard deviation) from SPSS output for calculations.]
4. (2 marks) Using the appropriate statistical table provided in the StudyDesk, determine the P-value of the above test.
5. (3 marks) Based on the P-value describe the outcome of the test in the context of the study.
6. (3 marks) Now use SPSS to carry out the test. Copy and paste the relevant SPSS output to your Tutoring solution. Do these results agree with those found in part (e)? (Hint: comment on the test statistic, P-value and conclusion).