In: Statistics and Probability
Body builders consume large volumes of dietary supplements, especially products that combine creatine with whey proteins, a waste product of cheese making. In a study to assess the impact of creatine and whey on strength and muscle fiber characteristics, 28 highly trained body builders in their mid-20s were recruited for a 13-week dietary study.
The researchers divided the volunteers into four groups, giving each man the same caloric bonus per day: a flavored drink containing a gram of supplement per kilogram of body weight. One supplement contained just carbohydrates, another just whey powder, and the last two a mix of creatine with either carbohydrates or whey. The experiment was conducted as a double blind with neither the athletes nor the scientists knowing who received each supplement until the study was completed.
Throughout, the men performed supervised resistance training three times a week and all experienced strength gains. Below are the data for increases in beach press totals in kilograms for the 28 body builders.
Carbohydrate only |
Whey only |
Creatine & carbohydrate |
Creatine & whey |
3 |
5 |
7 |
11 |
5 |
3 |
8 |
9 |
2 |
5 |
10 |
15 |
5 |
4 |
7 |
9 |
1 |
7 |
5 |
12 |
4 |
4 |
4 |
10 |
8 |
5 |
9 |
5 |
(i): Test the hypothesis.
(ii): Analyze with one-way ANOVA to test the hypothesis that there is any significant differences in the heights among the three fertilizer treatments at both:
(a): 95% and 90% level of significance.