4. Assume that the test scores from a college admission test are normally distributed with a mean of 450 and a standard deviation of 100. a) What percentage of the people taking the test score between 400 and 500? b) Suppose someone receives a score of 630. What percentage of people taking the test score better? What percentage score worse? c) If a particular university will not admit anyone scoring below 480, what percentage of the persons taking the test would be acceptable to the university?
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.
4. Assume that the test scores from a college admission test are
a) What percentage of the people taking the test score between 400 and 500?
b) Suppose someone receives a score of 630. What percentage of people taking the test score better? What percentage score worse?
c) If a particular university will not admit anyone scoring below 480, what percentage of the persons taking the test would be acceptable to the university?
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