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 4 6 8 8 5 4 6 6 5 8 6 5 6 6 7 4 3 10 7 6 5 9 4 4 3 6 10 5 8 6 6 10 5 8 8 5 9 5 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 ? = 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 = What can you conclude? Reject H0. The data do not 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.Reject H0. 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. Fail to reject H0. The data do not 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.Fail to reject H0. 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.

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 4 6 8 8 5 4 6 6 5 8 6 5 6 6 7 4 3 10 7 6 5 9 4 4 3 6 10 5 8 6 6 10 5 8 8 5 9 5 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 ? = 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 = What can you conclude? Reject H0. The data do not 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.Reject H0. 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. Fail to reject H0. The data do not 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.Fail to reject H0. 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.

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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Question

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	4	6	8
8	5	4	6
6	5	8	6
5	6	6	7
4	3	10	7
6	5	9	4
4	3	6	10
5	8	6	6
10	5	8	8
5	9	5	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

? = 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 =

What can you conclude?

Reject H₀. The data do not 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.Reject H₀. 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. Fail to reject H₀. The data do not 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.Fail to reject H₀. 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.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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