An experiment was carried out to determine if restrictive labels on video games actually increase 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 restriction level 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+. Use following data was for 12- to 13-year-old boys, you can assume that the boys were assigned at random to one of the four age label treatments (7+, 12+, 16+, ans 18+). Data shown are the boys' ratings of how much they wanted to play the game on a scale of 1 to 10. Do 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? Test the appropriate hypotheses using a significance level of 0.05 7+ label 12+ label 6+ label 18+ label 6 8 7 10 6 7 9 9 6 8 8 6 5 5 6 8 4 7 7 7 8 9 4 6 6 5 8 8 1 8 9 9 2 4 6 10 4 7 7 8
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
An experiment was carried out to determine if restrictive labels on video games actually increase 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 restriction level 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+. Use following data was for 12- to 13-year-old boys, you can assume that the boys were assigned at random to one of the four age label treatments (7+, 12+, 16+, ans 18+). Data shown are the boys' ratings of how much they wanted to play the game on a scale of 1 to 10. Do 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? Test the appropriate hypotheses using a significance level of 0.05
7+ label 12+ label 6+ label 18+ label
6 8 7 10
6 7 9 9
6 8 8 6
5 5 6 8
4 7 7 7
8 9 4 6
6 5 8 8
1 8 9 9
2 4 6 10
4 7 7 8
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