Reference no: EM132850544

At this point you should have already used the one-way analysis of variance. This assignment will cover a two-way analysis of variance test.

Scenario

-Suppose you want to test out two different trailers for an upcoming movie. So you take a sample of men and women and randomly separate them out into four groups. Some of the men will watch Trailer A and give it a rating. Some of the women will watch Trailer A and give it a rating. Some of the men will watch Trailer B and give it a rating. Some of the women will watch Trailer B and give it a rating.

-Once you have the ratings for these four groups, you can run what is called a two-way analysis of variance. It is called a two-way analysis of variance because you are able to see if you are getting significantly different ratings based on not one but two variables, the type of trailer (A or B) and gender. Because you are using two variables, you can see if you get significantly different average ratings for the movie trailer.Instructions

-Review the movie data in the following table.Gender Trailer Type Ratings Sample Size Mean

1, 2, 3, 4, 5
Male A 8, 7, 8, 6, 4 5 6.6
Male B 4, 6, 4, 5, 4 5 4.6
Female A 3, 4, 1, 2, 4 5 2.8
Female B 6, 7, 5, 4, 7 5 5.8

-Answer the following questions in:

-State the hypotheses to test the main effects of gender.

-State the hypotheses to test the main effects of trailer type.

-Calculate the test statistic and p-value to test the main effects of gender.

-Calculate the test statistic and p-value to test the main effects of trailer type.

-State the conclusion of both these tests at the 0.05 level of significance