authors of a paper on perception 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 ane 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. video gam carried out an experiment to determine it restrictive labels on games actually increased the attractiveness of the game for young game players. Participants read a description of a new video game and were asked much they wanted to play the game. The description also 7+ label 12+ label e 16+ label 18+ label A USE SALT Do the data provide convincing evidence that the means of the ratings asseciated with the game descriptions by 12- to 13-yearold boys is not the same for all four restrictive rating labels? Test the appropriate hypotheses using a significance level of 0.05. (Let H, and be the true mean ratings of how much 12- to 13-yearold 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 at least two of the four 's are different HoI H4 H: at least three of the four 's are different H, : all four of the 's are different O Ho all four of the s are different H at least twe of the four u's are different Find the best statistic. (Round your answee to two decimal places.) F-503 Use technology to find the Pvalue. (Round your answer to four decimal places-) Pvalue - 0.008 x State the conclusion in the problem context. We reject Ha The data do not provide convincing evidence that the mean rating associated with the game description by 12- to 13-year-old boys is not the same for all four restrictive rating labels. We reject Ha. The data provide convincing evidence that the mean rating associated with the game description by 12- to 13-year-old boys is not the same for all four restrictive rating labels. We fail to reject He The data do not provide convincing evidence that the mean rating associated with the game description by 12- to 13-year-old boys is net the same for all four restrictive rating labels. We fail to reject He The data provide convincing evidence that the mean rating associated with the game description by 12- to 13-yeareld beys is not the same for all four restrictive rating labels.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
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+ label
76 5
586 1
12+ label
7
857 958
16+ label
7
86 7 48
9
6.
18+ label
10
6
976 89
10
In USE SALT
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,, lz, la, and H, 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.
O Ho : at least two of the four u,'s are different
H : l, = H2 = M3 = H4
O Ho : H1 = 2 = H3 = 44
H. : at least three of the four u,'s are different
O Ho : Hy = lz - H3 = l4
H: all four of the u's are different
O H, : all four of the u's are different
H : 4 = H2 = Hz = H4
Ho : H = lz = Hz = l4
H,: at least two of the four u,'s are different
Find the test statistic. (Round your answer to two decimal places.)
F = 5.03
Use technology to find the P-value. (Round your answer to four decimal places.)
P-value = 0.005
State the conclusion in the problem context.
O we reject Ho: The data do not provide convincing evidence that the mean rating associated with the game description by 12- to 13-year-old boys is not the same for all four restrictive rating labels.
O we reject Ho: The data provide convincing evidence that the mean rating associated with the game description by 12- to 13-year-old boys is not the same for all four restrictive rating labels.
O We fail to reject Ho: The data do not provide convincing evidence that the mean rating associated with the game description by 12- to 13-year-old boys
not the same for all four restrictive rating labels.
O We fail to reject Hp: The data provide convincing evidence that the mean rating associated with the game description by 12- to 13-year-old boys is not the same for all four restrictive rating labels.
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+ label 76 5 586 1 12+ label 7 857 958 16+ label 7 86 7 48 9 6. 18+ label 10 6 976 89 10 In USE SALT 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,, lz, la, and H, 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. O Ho : at least two of the four u,'s are different H : l, = H2 = M3 = H4 O Ho : H1 = 2 = H3 = 44 H. : at least three of the four u,'s are different O Ho : Hy = lz - H3 = l4 H: all four of the u's are different O H, : all four of the u's are different H : 4 = H2 = Hz = H4 Ho : H = lz = Hz = l4 H,: at least two of the four u,'s are different Find the test statistic. (Round your answer to two decimal places.) F = 5.03 Use technology to find the P-value. (Round your answer to four decimal places.) P-value = 0.005 State the conclusion in the problem context. O we reject Ho: The data do not provide convincing evidence that the mean rating associated with the game description by 12- to 13-year-old boys is not the same for all four restrictive rating labels. O we reject Ho: The data provide convincing evidence that the mean rating associated with the game description by 12- to 13-year-old boys is not the same for all four restrictive rating labels. O We fail to reject Ho: The data do not provide convincing evidence that the mean rating associated with the game description by 12- to 13-year-old boys not the same for all four restrictive rating labels. O We fail to reject Hp: The data provide convincing evidence that the mean rating associated with the game description by 12- to 13-year-old boys is not the same for all four restrictive rating labels.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON