21. Students may be classified as having a math dysfunction—and not have to take statistics—if they score below the 25th percentile on a diagnostic test. The m of the test is 75 and sX 10. Approximately what raw score is the cutoff score needed to avoid taking statistics?
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.
21. Students may be classified as having a math dysfunction—and not have to take statistics—if they score below the 25th percentile on a diagnostic test. The m of the test is 75 and sX 10. Approximately what raw score is the cutoff score needed to avoid taking statistics? 22. For the diagnostic test in problem 21, we want to create the sampling distribution of means when N 64. (a) What does this distribution show? (b) What is the shape of the distribution and what is its m? (c) Calculate sX for this distribution. (d) What is your answer in part c called, and what information does it provide? (e) Determine the relative frequency of sample means above 77.
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