Prison Sentences The mean time y spent in prisonfor a crime can be found from the mean sentencelength x, using the equation y = 0.554x - 2.886,where x and y are measured in months. To how manymonths should a judge sentence a convicted criminalif she wants the criminal to actually serve between 4and 6 years?
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.
Prison Sentences The mean time y spent in prison
for a crime can be found from the mean sentence
length x, using the equation y = 0.554x - 2.886,
where x and y are measured in months. To how many
months should a judge sentence a convicted criminal
if she wants the criminal to actually serve between 4
and 6 years?
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