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. (NOTE: the data is the image) 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 ?1, ?2, ?3, and ?4 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. Correct : H0 : ?1 = ?2 = ?3 = ?4 Ha : at least two of the four ?i's are different Find the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) F= P-value= State the conclusion in the problem context. Correct: We reject H0. 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.

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. (NOTE: the data is the image) 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 ?1, ?2, ?3, and ?4 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. Correct : H0 : ?1 = ?2 = ?3 = ?4 Ha : at least two of the four ?i's are different Find the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) F= P-value= State the conclusion in the problem context. Correct: We reject H0. 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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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I need help for F and P-value.

(NOTE: the data is the image)

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 ?₁, ?₂, ?₃, and ?₄ 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.

Correct : H₀ : ?₁ = ?₂ = ?₃ = ?₄
H_a : at least two of the four ?_i's are different

Find the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)

P-value=

State the conclusion in the problem context.

Correct: We reject H₀. 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.

7+ label
7 6 5 5
5 8
4
12+ label
8.
7 9
5 7
9.
16+ label
8
6
8 9 6
18+ label
10
9.
6 9 7 6 8 9
10
8.
7,
7,
2.
4.
1.
8.
6.
8.
9.
6.

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