(Table: Diets) An article in the journal Applied Nutritional Investigation reported the results of a comparison of two different weight loss programs (Liao, 2007). In the study, obese participants were randomly assigned to one of two groups: (1) the soy group, a low-calorie group that ate only soy-based proteins; or (2) the traditional group, a low-calorie group that received two-thirds of their protein from animal products and one-third from plant products. One of the dependent measures collected was the amount of body fat loss as a percentage of initial body weight. Fictional data on the percent of body fat loss appears in the table. These data produce results similar to those of the 2007 study (note that a smaller n than that used in the study is presented for ease of calculation). Perform all six steps of the appropriate hypothesis test on this set of data

SOY DIET TRADITIONAL DIET

2.4 1.2

1.7 0.9

2.5 1.8

1.9 1.2

2.0 0.5

3.1 1.7

What are the populations to be compared?

What is the comparison distribution?What test Will you use?

What are the assumptions of the test statistic? Are they met?

State The Null and Alternative Hypothesis.

What decision did you make? Do you reject or fail to reject your Null hypothesis?