A professor wondered whether students in different majors earned different amounts during summer employment. He took random samples from 3 different college majors and asked about their earnings during their summer employment. The results are reported in the table below (in $1000's). Is there a significant difference in summer earnings among the 3 groups of majors? Test at alpha = .05. Nuclear Physics Medicine Psychology 3.3 3.8 5 2.5 5.1 6.2 4.6 3.9 6.3 4.8 6.2 5.9 3.9 4.8 6.4 Use analysis of variance with = .05 to determine whether these data indicate any significant differences among the groups Use the Tukey test to determine which of the groups are significantly different from each other. Use the .05 level of significance for all tests. Use your calculations and results to answer all questions that follow: What are Total df?: Blank 1 What are Between Groups df? : Blank 2 What are Within Groups df? Blank 3 What is the Critical value of F?: Blank 4 What is the Independent Variable? Blank 5 What is the Dependent Variable? Blank 6 What is Total SS? Report to 2 decimal places: Blank 7 What is Between Groups SS? Report to 2 decimal