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,

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
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
Transcribed Image Text: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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 5 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman