Question

The authors of the paper "Age and Violent Content Labels Make Video Games Forbidden Fruits for Youth" carried out an experiment to determine if restrictive labels on video games actually increased the attractiveness of the game for young game players.†Participants read a description of a new video game and were asked how much they wanted to play the game. The description also included an age rating. Some participants read the description with an age restrictive label of 7+, indicating that the game was not appropriate for children under the age of 7. Others read the same description, but with an age restrictive label of 12+, 16+, or 18+.

The data below for 12- to 13-year-old boys are fictitious, but are consistent with summary statistics given in the paper. (The sample sizes in the actual experiment were larger.) For purposes of this exercise, you can assume that the boys were assigned at random to one of the four age label treatments (7+, 12+, 16+, and 18+). Data shown are the boys' ratings of how much they wanted to play the game on a scale of 1 to 10.

7+ label	12+ label	16+ label	18+ label
7	8	7	10
7	7	9	9
6	9	8	6
5	5	6	8
5	7	7	7
8	9	4	6
6	5	8	8
1	8	9	9
2	4	6	10
4	7	7	8

Do the data provide convincing evidence that the mean rating associated with the game description by 12- to 13-year-old boys is not the same for all four restrictive rating labels? Test the appropriate hypotheses using a significance level of 0.05.

Calculate the test statistic. (Round your answer to two decimal places.)

F =  

Please show work and explain. thank you

Answer 1

Here we are going to use Tukey Multiple test for testing whether the mean rating associated with the game description by 12- or 13- year - old boy is same or not .

The results are as follows.

The data does not provide evidence that the mean rating associated with the game description by 12- or 13-year-old boys is different than others .