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.) F=P-value=

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 13PT
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The authors of a paper on the 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 girls 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 girls were assigned at random to one of the four age label treatments (7+, 12+, 16+, and 18+). Data shown are the girls' ratings of how much they wanted to play the game on a scale of 1 to 10.
7+ label 5 7 6 5 5 6 4 5 10 5
12+ label 4 5 5 6 3 5 3 8 5 9
16+ label 6 4 8 6 10 10 6 6 8 5
18+ label 8 6 6 6 7 4 10 6 8 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 
? = 0.05.
 (Let ?1, ?2, ?3, and ?4 be the true mean ratings of how much 12- to 13-year-old girls want to play the game on a scale of 1 to 10 for the four different age label treatments.)
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.)
F=P-value=
 
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