Question

The authors of a paper titled "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 summary data shown below are the ratings of 12- to 13-year-old boys for how much they wanted to play the game on a scale of 1 to 10. You can assume that boys were assigned at random to one of the four age label treatments (7+, 12+, 16+, 18+) and that ratings were normally distributed.

Group	Sample Size	Sample Mean	Sample Std Dev
18+	24	7	1.25
16+ label	20	6.1	1.35
12+ label	18	6	1.4
7+ label	18	5	2.08

d) Calculate the group sum of squares (aka treatment sum of squares), which is a measure of-- (pick one) within : between : total -- sample variation.

SSG =

e) Calculate the error sum of squares, which is a measure of -- (pick one) within : between : total -- sample variation.

SSE =

f) Complete the ANOVA table. Note that you've already found two of the three sum of squares.

Source of Variation	df	Sum of Squares	Mean Square	F
Treatment
Error				X
Total			X	X

The p-value is associated with this test statistic is 0.0011. Based on this, the statistical decision is to: Reject H0 , FTR H0, Reject HA, FTR HA

At the 0.05 level, we -- have enough evidence to conclude : do not have enough evidence to conclude : have proven beyond doubt : have disproven beyond doubt -- that at least one mean rating differs significantly from the rest.

(g) Do th data providing evidence that the mean rating associated with the garne description by 12- to 13-year-old boys is not the sare far al faur restrictive rating lab? Tes the appropriate hypatheses using a significance level of 0.05 The appropriate hypotheses are: H: at least one population mean is different H: al of the population means are different The test statistic is: Naw we can test each m"n oganst each other mean, ลาธ Lze onferror correction to control te ámily-n se emor race at α-0.0S. Recall from above that: -16'-6.1 or each companson, calculate the difference in sample means, the t-test statisicrourded to three decimal places) and the p-value. The standard errar ard degrees of frescom fer ech cmparisan are providec. differenc standard error ㅁf o.ference 0,45 0,43 0,43 0,50 0,50 0,51 degrees o 42 40 36 36 34 According to these p-values, which dirferances in means are statisticaly significant using a comparison-wise emor rate of0.05e. no multiple comparisons correctian)? You have just one attempt per group, and you may submit attemprs one at a time, You should wat until you know you have the correct ansawers tor the p-values above before answering these. 的5+- 川5+ Accanding t these p. values, which differences n means ane statiseally significant us ng a fani-wae e ar rate of tr_a.as-nd ה Bar er ari multipla comaansons com action 内61-121-

Answer 1

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