A doctor wishes to see if men’s cholesterol levels will change if they alter their exercise routine to include weight training. Six subjects were pretested and then changed their exercise routine for 6 weeks. The results are provided in the table below. Can it be concluded that the cholesterol level has been changed at α = 0.05? Assume the variable is approximately normally distributed.
Subject |
1 |
2 |
3 |
4 |
5 |
6 |
Before (X1) |
208 |
172 |
210 |
244 |
235 |
190 |
After (X2) |
210 |
173 |
190 |
228 |
170 |
188 |
Step 1: State the hypotheses.
Step 2: Compute the df, Determine the tailed-ness, and Find the Critical Value
Step 3: Compute the test value.
Before (X1) |
After (X2) |
D = X1 – X2 |
D2 |
208 |
210 |
||
172 |
173 |
||
210 |
190 |
||
244 |
228 |
||
235 |
170 |
||
190 |
188 |
||
Step 4: Make the decision.
Step 5: Summarize the results.
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