The authors of the paper "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 paper gave data for 12- to 13-year-old girls. Data consistent with summary values in the paper are shown below. 7+ label 12+ label 16+ label 18+ label F = 6 9 6 5 4 6 4 5 10 5 4 5 6 6 3 5 3 8 5 9 6 4 8 6 10 9 6 8 5 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 a = 0.05. Calculate the test statistic. (Round your answer to two decimal places.) Use technology to find the P-value. (Round your answer to four decimal places.) P-value =
The authors of the paper "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 paper gave data for 12- to 13-year-old girls. Data consistent with summary values in the paper are shown below. 7+ label 12+ label 16+ label 18+ label F = 6 9 6 5 4 6 4 5 10 5 4 5 6 6 3 5 3 8 5 9 6 4 8 6 10 9 6 8 5 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 a = 0.05. Calculate the test statistic. (Round your answer to two decimal places.) Use technology to find the P-value. (Round your answer to four decimal places.) P-value =
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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Question
Transcribed Image Text:The authors of the paper "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 paper gave data for 12- to 13-year-old girls. Data consistent with summary values in the paper are shown below.
7+ label 12+ label 16+ label 18+ label
6
9
6
5
4
6
4
5
10
5
4
5
6
6
3
5
3
8
5
9
6
4
8
6
10
9
6
6
8
5
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 a = 0.05.
Calculate the test statistic. (Round your answer to two decimal places.)
F =
Use technology to find the P-value. (Round your answer to four decimal places.)
P-value =
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