Name: Homework Question 4 Imagine you are a researcher interested in whether four different ways of workout have an effect on health measured by an overall index. One hundred volunteer students agree to take part in the study for ve weeks and follow the suggested routines for each workout treatment 30 minutes each day. Each group has 25 subjects. The groups are as follows. Group 1: Yoga Group 2: Swimming Group 3: Lifting Group 4: Running At the end of the fifth week, each person was measured and an index score was generated as the measure of her or his physical health. a) What is the independent variable in this experiment? b) \\Vhat is the dependent variable in this experiment? c) What is the purpose of doing an analysis of variance with these data (ANOVA), also known as an Ftest?> d) What is the omnibus null hypothesis (Ho) being tested in this experiment? Use symbols. e) If the null hypothesis for the ANOVA is rejected, what exactly can we say/clairn in your statistical conclusion? f) Imagine that you plan to do 6 pairwise ttests to compare each of the groups to each other (e.g., Group 1 vs. Group 2, Group 1 vs. Group 3, etc). If, against my advice, you used a 5% percomparison Type I error rate (oz?_compmson) to do each of the 6 ttests, what would be your Experimentwise Type I error rate? g) If you took my advice and wanted to control your Experirnentwise Type I error rate down to 5% by employing the Bonferroni procedure to adjust your pericomparison or, what would be your modied per- comparison Type I error rate