The amounts (in millions of dollars) grossed by movies in categories with PG, PG

Question

The amounts (in millions of dollars) grossed by movies in categories with PG, PG-13, and R ratings, we obtain the analysis of variance results from statistical software below. Use a 0.05 significance level to test the claim that PG movies, PG-13 movies, and R movies have the same gross amount. There is not sufficient evidence to warrant rejection of the claim that PG movies, PG-13 movies, and R movies have the same mean gross amount. We cannot come to any conclusions because the F distribution in this case is skewed to the right. There is sufficient evidence to warrant rejection of the claim that PG movies, PG-13 movies, and R movies have the same mean gross amount. We cannot come to any conclusion because we cannot conclude from ANOVA that any particular mean is different from the others.

Explanation / Answer

In this case our null hypothesis is that PG-movies, PG-13 movies and R-movies have the same mean gross amount.

We reject the null hypothesis when the significant value is less than 0.05.

In this case, the significant value is 0.010 which is less than 0.05. Hence we have sufficient evidence to rejeect the null hypothesis.

Thus we say that PG-movies, PG-13 movies and R-movies do not have the same mean gross amount.

Hence 3rd option is the correct option.

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