The mean score for Scrabble players at the neighborhood center is m = 215 points. The players read a book that claims it can raise scores significantly. After reading the book, a team of 25 players obtains a score of M = 218 points, with s= 25. Do the data indicate that reading the book leads to increases in the players’ scores? Test with a = .05 Calculate and evaluate Cohen’s d and r2. What decision can you make and what does it indicate? What type of error could you be making and what would that mean? Report your results with an APA-style phrase.
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
mean score for Scrabble players at the neighborhood center is m = 215 points. The players read a book that claims it can raise scores significantly. After reading the book, a team of 25 players obtains a score of M = 218 points, with s= 25. Do the data indicate that reading the book leads to increases in the players’ scores? Test with a = .05- Calculate and evaluate Cohen’s d and r2.
- What decision can you make and what does it indicate?
- What type of error could you be making and what would that mean?
- Report your results with an APA-style phrase.
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