A researcher is interested in testing the relationship between smoking and BMI (kg/m2) in adults aged 30-45. In order to test this association, the researcher divides smoking into currently more than a pack a day, currently less than a pack a day, and never smokers. The following table represents the BMIs for each participant enrolled by their respective smoking category.
Current Smoker (≥1pack/day) |
Current Smoker (<1 pack/day |
Never Smoked |
26.7 |
29.4 |
22.1 |
29.4 |
28.6 |
30.4 |
24.3 |
27.4 |
21.3 |
28.4 |
23.2 |
26.4 |
21.6 |
20.1 |
19.7 |
27.4 |
20.6 |
19.8 |
26.8 |
19.7 |
21.6 |
36.4 |
19.6 |
22.3 |
31.5 |
|
21.6 |
24.3 |
|
27.4 |
21.5 |
|
|
*Continue as though all assumptions for ANOVA are met.
A) Calculate the MSW and MSB for the data represented above.
B) Carry out a formal test for a one-way analysis of variance among the groups and interpret your results.
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