Question

Independent Samples t-test (Worth 15 points) Scenario: 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 2/3 of their protein from animal products and 1/3 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 appear in the table. Table: Diets Soy Diet 2.5 1.7 2.5 Traditional Diet 1.21 0.86 1.78 1.23 0.50 1.76 1.9 3.2 (a) Calculate a 95% confidence interval and assess the research hypotheses. (8 pts) (b) Compute the effect size for this study and interpret its meaning. (7 pts)

Answer 1

Question 1:

The output is:

(a) The 95% confidence interval is between 0.40166 and 1.75168.

(b) Effect Size, d = t√(n1 + n2)/n1n2

d = 3.554*√(6+6)/6*6

= 2.05

This is a large effect size.

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