Question

#3

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 71, 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 paper gave data for 12- to 13-year-old girls. Data consistent with summary values in the paper are shown below.

7+ label	12+ label	16+ label	18+ label
4	4	6	8
8	5	4	6
6	5	8	6
5	6	6	5
5	3	10	7
6	5	10	4
4	3	6	10
5	8	6	6
10	5	8	8
5	9	5	7

Do the data provide convincing evidence that the mean rating associated with the game description for 12- to 13-year-old girls is not the same for all four age restrictive rating labels? Test the appropriate hypotheses using

α = 0.05.

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

F =

Answer 1

Solution: We can use the excel ANOVA: Single Factor data analysis tool to find the test statistic. The excel output is given below:

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance
7+ label	10	58	5.8	3.5111
12+ label	10	53	5.3	3.7889
16+ label	10	69	6.9	4.1
18+ label	10	67	6.7	2.9
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	17.075	3	5.6917	1.5921	0.2082	2.8663
Within Groups	128.7	36	3.575
Total	145.775	39

Using the above excel output, the test statistic is: