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 μ1, μ2, μ3, and μ4 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.) CORRECT: H0 : μ1 = μ2 = μ3 = μ4 at least two of the four μi's are different Find the test statistic and P-value. (Use technology. Round your test statistic to two decimal places and your P-value to three decimal places.) F= ? P-value= ?
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.
| 7+ label | 7 | 6 | 6 | 5 | 5 | 8 | 6 | 1 | 2 | 4 |
|---|---|---|---|---|---|---|---|---|---|---|
| 12+ label | 8 | 7 | 8 | 5 | 7 | 9 | 5 | 8 | 4 | 7 |
| 16+ label | 7 | 9 | 8 | 6 | 7 | 5 | 8 | 9 | 6 | 7 |
| 18+ label | 10 | 9 | 6 | 9 | 7 | 6 | 8 | 9 | 10 | 8 |
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 μ1, μ2, μ3, and μ4 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.)
CORRECT: H0 : μ1 = μ2 = μ3 = μ4
at least two of the four μi's are different
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