The Minnesota Multiphasic Personality Inventory - 2 (MMPI-2) includes an Addiction Potential Scale. In a nonclinical population, this scale has a mean of 50 and a standard deviation of 7. However, higher scores are observed in clinical populations with documented addiction issues or risk factors for addiction. An eSports coach is concerned about the potential risk of videogame addiction in competitive gamers, so she starts administering the MMPI-2 as a screening tool. In her team of 21 eSport athletes, she observed a mean score of 55 on the Addiction Potential Scale. (Was she right to be worried?) A) Calculate the z-test statistic. B) State the appropriate conclusion based on your results and hypotheses.
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.
The Minnesota Multiphasic Personality Inventory - 2 (MMPI-2) includes an Addiction Potential Scale. In a nonclinical population, this scale has a mean of 50 and a standard deviation of 7. However, higher scores are observed in clinical populations with documented addiction issues or risk factors for addiction. An eSports coach is concerned about the potential risk of videogame addiction in competitive gamers, so she starts administering the MMPI-2 as a screening tool. In her team of 21 eSport athletes, she observed a mean score of 55 on the Addiction Potential Scale. (Was she right to be worried?)
A) Calculate the z-test statistic.
B) State the appropriate conclusion based on your results and hypotheses.
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