Question 3

In this question, consider the data on the body mass index at entry (BMIEntry) and current body mass index (BMI) of the athletes at AIS from the data set AIS.sav. The doctors at the AIS believe that the current body mass index of the athletes is less than their body mass index at entry. To find out if the mean current body mass index of the athletes is less than the mean body mass index at entry, they wish to perform appropriate statistical analyses.

(a) State appropriate hypotheses (define any symbols used) to perform an appropriate statistical test.

(b) State (but do not check) the assumptions required for the validity of the test. Describe the assumptions in the context of the study.

(c) Without using SPSS, calculate the value of the appropriate test statistic to test the hypotheses in part (a). [You can use appropriate sample summary statistics from SPSS output for calculations.]

(d) Using the appropriate statistical table provided in the StudyDesk, determine the P-value of the above test.

(e) Based on the P-value describe the outcome of the test in the context of the study.

(f) Now use SPSS to carry out the test. Copy and paste the relevant SPSS output to your assignment solution. Do these results agree with those found in part (e)? (Hint: comment on the test statistic, P-value and conclusion.)

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