BIOS 500 Homework #6 1. A researcher wanted to observe the effect of three different treatments on a random sample of overweight people. He randomly assigned each participant to one of four groups (Hi-Carb, Low-Carb, No-Carb, Placebo), and measured the amount of weight loss each participant experienced by weighing them at the end of one month, and subtracting their initial weight at the beginning of the study. (The placebo group was given a diet plan which has been shown to have no effect on weight loss.) The data collected appear below: 23675 Hi-Carb 10 Low-Carb No-Carb Placebo 12 25 2 -2 18 11 17 -7 15 30 530 18 11 -14 Answer the following questions: a. What are the null and alternative hypotheses the researcher is exploring here? b. What are the assumptions that the researcher must make to analyze these data? c. Perform a one-way ANOVA to analyze these data. d. Based on an -level of 5%, what do you conclude? 2. Using Scheff's method, build a set of 95% confidence intervals for these contrasts: a. The average effect of a diet vs. the placebo b. Hi-carb vs. the Placebo c. Hi-carb vs the average of low- and no-carb