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+ label 7 7 6 5 4 8 6 1 2 4 12+ label 8 7 8 5 7 9 5 8 4 7 16+ label 7 9 8 6 7 4 8 9 6 7 18+ label 10 9 6 9 7 6 8 9 10 8 Find the test statistic and findt he P-value
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+ label 7 7 6 5 4 8 6 1 2 4 12+ label 8 7 8 5 7 9 5 8 4 7 16+ label 7 9 8 6 7 4 8 9 6 7 18+ label 10 9 6 9 7 6 8 9 10 8 Find the test statistic and findt he P-value
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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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+ label | 7 | 7 | 6 | 5 | 4 | 8 | 6 | 1 | 2 | 4 |
|---|---|---|---|---|---|---|---|---|---|---|
| 12+ label | 8 | 7 | 8 | 5 | 7 | 9 | 5 | 8 | 4 | 7 |
| 16+ label | 7 | 9 | 8 | 6 | 7 | 4 | 8 | 9 | 6 | 7 |
| 18+ label | 10 | 9 | 6 | 9 | 7 | 6 | 8 | 9 | 10 | 8 |
Find the test statistic and findt he P-value. (Round your answer to two decimal places.)
F =
P-value =
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