2. A criminologist (discrimination) in sentencing based on the race of the defendant. She selected at random 18 burglary convictions and compared the prison terms given the 10 whites and 8 blacks sampled. The sentence lengths (in years) are shown for the white and black offenders as follows. Using these data, test the null hypothesis (at the .05 significance level) that whites and blacks convicted of burglary in this jurisdiction do not differ with respect to prison sentence length. What is your was interested in whether there was any disparity conclusion? Whites: 3 5 4745 6 4 3 2 Blacks: 4 8735 45 4
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.
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