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 toplay 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+ label712+ label16+ label 7 9 8 686 6 5 4 8 6 17 9 5 718+ label 10 9USE SALT6 87H₂: all four of the u's are different79 5 84OH : all four of the u.'s are differentH₂H₂ = H₂ = H3 = H4State the appropriate null and alternative hypotheses.O H₁ H₁ H₂ H3 = 146O H₂H₁ H₂ = μ3 = 44H₂ : at least two of the four μ's are differentO H₁ H₁ = H₂ = 43 44H₂ : at least three of the four μ's are differentO Ho at least two of the four μ's are differentH₂H₁ = H₂ H3 H48 9892 4Do 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 M₁ M₂ M3 and 4 be the true meanratings 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.)467710 8Find 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=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 fail to 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 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 is not the same for all four restrictive rating labels.

Given data: 7+ label 7 6 6 5 4 8 6 1 2 4 12+ label 8 7 9 5 7 9 5 8 4 7 16+ label 7 9 8 6 7 4…

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 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 1 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 7 12+ label 8 795 16+ label 7 9 8 6 18+ label 10 USE SALT 489 6 H,: all four of the 's are different State the appropriate null and alternative hypotheses. OH₂H₁ H₂ H3 H4 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 Har Har Har and 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.) ọ Ho. Hy thay lông thôn H,: at least two of the four 's are different 4 O H₂H₂H₂ H3 H4 H,: at least three of the four 's are different 6 8 9 10 OH: all four of the 's are different H₂H₂H₂H₂H₂ OH: at least two of the four 's are different H₂H₂H₂H₂H4 Find 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-

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 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 1 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 7 12+ label 8 795 16+ label 7 9 8 6 18+ label 10 USE SALT 489 6 H,: all four of the 's are different State the appropriate null and alternative hypotheses. OH₂H₁ H₂ H3 H4 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 Har Har Har and 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.) ọ Ho. Hy thay lông thôn H,: at least two of the four 's are different 4 O H₂H₂H₂ H3 H4 H,: at least three of the four 's are different 6 8 9 10 OH: all four of the 's are different H₂H₂H₂H₂H₂ OH: at least two of the four 's are different H₂H₂H₂H₂H4 Find 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-

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...

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