LSAT The LSAT (a test taken for law school admission)has a mean score of 151 with a standard deviation of9 and a unimodal, symmetric distribution of scores.A test preparation organization teaches small classes of9 students at a time. A larger organization teaches classesof 25 students at a time. Both organizations publish themean scores of all their classes.a) What would you expect the distribution of mean classscores to be for each organization?b) If either organization has a graduating class with amean score of 160, they’ll take out a full-page ad inthe local school paper to advertise. Which organizationis more likely to have that success? Explain.c) Both organizations advertise that if any class has anaverage score below 145, they’ll pay for everyone toretake the LSAT. Which organization is at greater riskto have to pay?
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.
LSAT The LSAT (a test taken for law school admission)
has a mean score of 151 with a standard deviation of
9 and a unimodal, symmetric distribution of scores.
A test preparation organization teaches small classes of
9 students at a time. A larger organization teaches classes
of 25 students at a time. Both organizations publish the
mean scores of all their classes.
a) What would you expect the distribution of mean class
scores to be for each organization?b) If either organization has a graduating class with a
mean score of 160, they’ll take out a full-page ad in
the local school paper to advertise. Which organization
is more likely to have that success? Explain.
c) Both organizations advertise that if any class has an
average score below 145, they’ll pay for everyone to
retake the LSAT. Which organization is at greater risk
to have to pay?
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