The authors of a paper on perceptions of video games carried out an experiment to determine if restrictive labels on video games actually increased the attractiveness of the game for young gameplayers. 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 thedescription 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 of12+, 16+, or 18+. The following data for 12- to 13-year-old boys are consistent with summary statistics given in the paper. (The sample sizes in the actual experiment were larger.) For purposes ofthis 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 wantedto play the game on a scale of 1 to 10.7 6 57+ label48412+ label871079479 8 6 7 4 8 9 6 716+ label796 8 76 8910 818+ label10Do the data provide convincing evidence that the means of the ratings associated with the game descriptions by 12- to 13-year-old boys is not the same for all four restrictive rating labels? Test theappropriate hypotheses using a significance level of 0.05. (Let u,, µ, Ha, and u, be the true mean ratings of how much 12- to 13-year-old boys want to play the game on a scale of 1 to 10 for thefour different age label treatments.)State the appropriate null and alternative hypotheses.Ho: H1 = H2= H3= H4H: all four of the u's are differentH, : all four of the u,'s are differentHa: H1= Hz = H3= H4O Ho: H1 = H2 = H3= H4H: at least two of the four u,'s are differentHo: H1 = Hz = H3= H4H: at least three of the four u,'s are different%3DHo: at least two of the four u,'s are differentHa: H1 = H2 = H3 = H4Find the test statistic and P-value. (Use technology. Round your test statistic to two decimal places and your P-value to three decimal places.)5.200!!P-value =0.0042.1.896

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Description: The authors of a paper on perceptions of video games carried out an experiment to determine if restrictive labels on video games actually increased the attractiveness of the game for young gameplayers. Participants read a description of a new video

ANOVA is used to estimate the differences among mean using the estimated procedure such as variation…

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7+ label 6. 7 6. 4. 8. 2 12+ label 7. 10 5 7. 16+ label 9. 8. 6. 7 8. 18+ label 10 8. 7. 9. 10 8. n data provide convincing evidence that the means of the ratings associated with 4. 4. 1. 8. 9, 6. 9, 4. 6, 9, 8. 7,

7+ label 6. 7 6. 4. 8. 2 12+ label 7. 10 5 7. 16+ label 9. 8. 6. 7 8. 18+ label 10 8. 7. 9. 10 8. n data provide convincing evidence that the means of the ratings associated with 4. 4. 1. 8. 9, 6. 9, 4. 6, 9, 8. 7,

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Topic Video

Question

The authors of a paper on perceptions of video games 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 following data for 12- to 13-year-old boys 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 6 5
7+ label
4
8
4
12+ label
8
7
10
7
9
4
7
9 8 6 7 4 8 9 6 7
16+ label
7
96 8 76 89
10 8
18+ label
10
Do the data provide convincing evidence that the means of the ratings associated with the game descriptions 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. (Let u,, µ, Ha, and u, be the true mean ratings of how much 12- to 13-year-old boys want to play the game on a scale of 1 to 10 for the
four different age label treatments.)
State the appropriate null and alternative hypotheses.
Ho: H1 = H2= H3= H4
H: all four of the u's are different
H, : all four of the u,'s are different
Ha: H1= Hz = H3= H4
O Ho: H1 = H2 = H3= H4
H: at least two of the four u,'s are different
Ho: H1 = Hz = H3= H4
H: at least three of the four u,'s are different
%3D
Ho: at least two of the four u,'s are different
Ha: H1 = H2 = H3 = H4
Find the test statistic and P-value. (Use technology. Round your test statistic to two decimal places and your P-value to three decimal places.)
5.200
!!
P-value =
0.004
2.
1.
8
96

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