he amount of time spent in prison has a mean of 5.2 years and a standard deviation of 1.3 years. A prison counselor is trying to develop a program to help people to change the amount of time they are in jail. A sample of n= 16 participated in this program and had the following jail times in years: 5.1 4.5 3.3 5.7 6.1 5 6 5.2 5.8 5.7 5 1.9 2 5.9 2.9 5.9
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.
The amount of time spent in prison has a
5.1 4.5 3.3 5.7 6.1 5 6 5.2 5.8 5.7 5 1.9 2 5.9 2.9
5.9
Calculate the observed z score for the sample mean.
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