PLEASE DONT ANSWER THE ONES WITH THE GREEN CHECK! Start with the one above E and

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PLEASE DONT ANSWER THE ONES WITH THE GREEN CHECK! Start with the one above E and do F and so on.

All multiple choice questions have two submissions. 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 of 7. Others read the same description, but with an age restrictive label of 12 16 or 18 age The summary data shown below are the ratings of 12- to 13-year-old boys for how much they wanted to play the gam e on a scale of 1 to 10. You can assume t boys were assigned at andom to one of the foul age label treatments (7+, 12+, 16 18 and that ratings were normally distributed. Group sample size sample Mean sample Std Dev 74 label 10 5.8 1.93 124 label 110 7 1.74 16 label 10 8.3 11.31 18- Mabel 10 8.6 11.32 (a) Wh s the sul of a observations in the data set? T 97 (b) What is the grand mean? T 7.425 (use three decimals in your answer) (c) Calculate the treatment sum of squares, which is a measure of between sample variation. SST 49.675 (use four decimals in your answer) (d) Calculate the error sum of squares, which is a measure of within sample variation. SSE (use four decimals in your answer) (e) complete the ANOVA table. Note that you've already found two of the three sums of squares use four decimals for the sums of squares and mean squares, then round the F test statistic to 2 decimals Source of variation d sum of Squares Mean Square F Treatment Errol Total (f) 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 0.1 The appropriate hypotheses are: Ho Ho: all of the popula me eans are different Ho: at least one population mean s different Ho: The significance level is:

Explanation / Answer

SSE =91.899

f) Ho: mean1=mean2=mean3=mean4

Ha: at least one of the mean is different

significance level =0.1

test stat=6.4865

p value=0.0013

reject null hypothesis

we have sufficent evidence to conclude

i ni Xi Si^2 ni*(Xi-mean)^2 (n1-1)*Si^2 1 10 5.8 3.7249 26.406 33.5241 2 10 7 3.0276 1.806 27.2484 3 10 8.3 1.7161 7.656 15.4449 4 10 8.6 1.7424 13.806 15.6816 mean 7.425 49.675 91.899 SSG SSE Source of variation df SS MS F P value F crit treatment 3.000 49.675 16.558 6.486 0.00127 2.2426 error 36.000 91.899 2.553 total 39.000 141.574

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