In: Statistics and Probability
Use the P-value Approach for all hypothesis tests. Assume that all samples are randomly obtained.
A person’s protein requirement is the amount of protein they must consume in a day to maintain a stable weight, muscle mass, etc. A group of researchers wanted to know if the mean protein requirement (in grams of protein per day per kilogram of body weight) is the same for young adult males and females. The protein requirement of 10 males and 11 females was determined. The protein requirements of the subjects are given below. (Data based on summary statistics in CampbellWW, et. al., Dietary protein requirements of younger and older adults. American Journal of Clinical Nutrition. 2008.)
Males: |
0.76 |
0.59 |
0.44 |
0.46 |
0.51 |
0.63 |
0.29 |
0.43 |
0.59 |
0.74 |
|
Females: |
0.80 |
0.68 |
0.51 |
0.54 |
0.63 |
0.70 |
0.80 |
0.49 |
0.74 |
0.62 |
0.82 |
Is there a difference in the mean protein requirement of young adult males and females? Use α = 0.025 and be sure to verify the requirements for the test.