4. Suppose a researcher is interested in the effect of three different diet and exercise management programs on reducing BMI (kg/m2) in young adults. Assume the following table identifies the summary statistics for the three groups. A) Which assumptions should be made before proceeding with a one way analysis of variance procedure? B) Calculate the Mean Squares Between and Mean Squares Mthin variances. MSB=20.586 MSW=5.062 C) Calculate an F statistic. F=4.067 D) Write out your null and alternative hypotheses for a one way analysis of variance. HI]: F1=|12=I13 Ha: At least one mean is different E) Perform a one way analysis of variance procedure to determine if there is a significant difference in mean BMI among the groups. F statistic in pvalue is 0.042 which means there is a significant difference