Scenario 2: Weight Loss (21 points) 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 appears in the table below. 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). Soy Diet Traditional Diet 2.5 1.21 1.7 0.86 2.5 1.78 1.9 1.23 2.0 0.50 3.2 1.76 Step 1: (3 points) Populations: soy diet VS Traditional diel Y'Assumptions : Ho : MZvaj tail, Fua Distribution/test: Independent so e test Two tailed test Step 2: Hypothesis (in symbolic notation and words). (2 points) PSYC 2700 - Unit 30 Exam (at-home) Step 3: Characteristics of comparison distribution. (5 points) f step 4: Critical value(s). (1 point) Step 5: Calculate the test statistic. (2 points) vawe = 0.006 diff29 - Value = 4105 Step 6: Make a decision. (1 point) we levat the non Hypothesis PSYC 2700 - Unit So Exam (at-home) Confidence interval: Calculate a 95% confidence interval around the sample mean for this problem. (2 points)