Rotten Tomatoes is a website providing movie ratings and reviews. We have data on all 2011 Hollywood movies, although for this problem we€™ve removed movies classified as €˜€˜Adventure€ or €˜€˜Fantasy€ because there are only one and two movies, respectively, in each category. Each movie gets a €˜€˜Tomatometer€ score, which is €˜€˜The percentage of Approved Tomatometer critics who have given this movie a positive review.€ The relevant summary statistics and visualization are shown below. Does the Tomatometer score differ by movie genre?

(a) State the appropriate hypotheses for this test.
(b) Are the conditions for using the F-distribution satisfied? Why or why not?
(c) Complete the ANOVA table below for doing this test using the template started below.

(d) Using α = 0.05, does the Tomatometer score differ significantly by movie genre? Make a conclusion in context.
(e) This sample includes data on all 2011 movies from these genres. What population might we wish to make inferences about? Do you think this sample provides valid inferences for this population? Why or why not?

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sd mean Action 31 44.97 25.10 Animation 60.58 26.73 12 Comedy 49.78 26.35 27 Drama 21 67.90 18.06 Horror 17 41.29 27.04 Romance 47.20 31.57 10 Thriller 62.38 28.66 13 Overall 52.49 26.785 131 Action Animation Comedy Drama Horror Romance Thriller 09 07 Tomatometer