One-Way ANOVA - Movie Gross: Suppose we want to compare the mean box office gros
ID: 3267798 • Letter: O
Question
One-Way ANOVA - Movie Gross: Suppose we want to compare the mean box office gross (in millions of dollars) of movies rated PG, movies rated PG-13, and movies rated R. Three random samples are taken: 100 movies with PG ratings, 100 movies with PG-13 ratings, and 100 movies with R ratings. Conduct a one-way ANOVA test to determine if there is evidence that the mean box office gross is not the same for movies rated PG, PG-13, and R. Hypotheses: H_0: mu_1 = mu_2 = mu_3 (The mean box office gross is the same for PG, PG-13, and R-rated movies.) H_A: mu_i notequalto mu_j for some i and j (At least two means are different) Complete the ANOVA table below. Iast3 is the last three digits of your student ID number, and firsts is the first five digits of your student ID number. For example, if your student ID number is 19406368, your sum of squares due to treatments would be 368, and your sum of squares due to error would be 19406. Computation of the degrees of freedom, total sum of squares, mean square, and test statistic/F-ratio does not require any supporting work. However, the p-value does. Compute the p-value using the theoretical F distribution on (Don't use "ANOVA for Difference in Means" under "More Advanced Randomization Tests".) Copy a screenshot of the p-value into your assignment, and make sure you don't crop the degrees of freedom out. If the significance level is alpha = 05, which of the following is the correct conclusion? 1. H_0 should be rejected. There is sufficient evidence to conclude that the mean box office gross is not the same for movies rated PG, PG-13, and R. 2. H_0 should not be rejected. There is insufficient evidence to conclude that the mean box office gross is not the same for movies rated PG, PG-13, and R.Explanation / Answer
option 1 is correct. Ho should be rejected. There is ...................
Source of variation df SS MS F P value treatments 2.000 668 334.000 8.262 0.0003 Error 297.000 12007 40.428 total 299.000Related Questions
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