How do you do the following problem: If we know that the population mean of the scores for the SAT is μ = 500 and the standard deviation (σ) = 100, what sample mean scores (M1, M2) correspond to the middle range of 70% of the scores if the sample size is 81?
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.
How do you do the following problem:
If we know that the population mean of the scores for the SAT is μ = 500 and the standard deviation (σ) = 100, what sample mean scores (M1, M2) correspond to the middle
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