The Federal Bureau of Prisons publishes data in Prison Statistics on the times served by prisoners released from federal institutions for the first time. Independent random samples of released prisoners in the fraud and firearms offense categories yielded the following information on time served, in months. Fraud 3.6 17.9 5.3 5.9 10.7 7.0 8.5 13.9 11.8 16.6 Firearms 25.5 23.8 10.4 17.9 18.4 21.9 19.6 13.3 20.9 16.1 Obtain a 90% confidence interval for the difference between the mean times served by prisoners in the fraud and firearms offense categories.
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 Federal Bureau of Prisons publishes data in Prison Statistics on the times served by prisoners released from federal institutions for the first time. Independent random samples of released prisoners in the fraud and firearms offense categories yielded the following information on time served, in months.
Fraud
3.6 17.9 5.3 5.9 10.7 7.0 8.5 13.9 11.8 16.6
Firearms 25.5 23.8 10.4 17.9 18.4 21.9 19.6 13.3 20.9 16.1
Obtain a 90% confidence interval for the difference between the mean times served by prisoners in the fraud and firearms offense categories.
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