Rotten Tomatoes is a website providing movie ratings and reviews. Each movie get

Question

Rotten Tomatoes is a website providing movie ratings and reviews. Each movie gets a "Tomatometer" score, which is ''The percentage of Approved Tomatometer critics who have given this movie a positive review". For each of the genres "Action", "Animation". "Comedy". "Drama", "Horror", "Romance" and "Thriller" we random picked 21 movies and recorded their "Tomatometer" scores. Researchers would like to known whether on average there is any difference in "Tomatometer" score among these different genres. (1) Assume the basic assumptions are all satisfied. Part of the information for the ANOVA table is given below. (Complete the ANOVA table. (2) What should we conclude in this research study? Use a proper approach to make a conclusion and explain why.

Explanation / Answer

There are 7 geners so number fo groups are k=7

Each group has 21 obervations so total number of observations is 7 *21 = 147

Degree of freedom of treatment: df=k-1=6

Degree of freedom of error: df=N-K = 147 - 7 = 140

(b)

The p-value is 0.0051

Since p-value is less than 0.05 so we reject the null hypothesis.

Source df SS MS F Treatment 6 1901.2*6=11407.2 1901.2 1901.2/584.72=3.25 Error 140 81860.9 81860.9/140=584.72 Total 146 93268.1

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