Applying the Concepts and SkillsLosses to Robbery. Refer to Problem.a. Obtain individual normal probability plots and the standard deviations of the samples.b. Perform a residual analysis.c. Decide whether presuming that the assumptions of normal populations and equal standard deviations are met is reasonable.Losses to Robbery. The Federal Bureau of Investigation conducts surveys to obtain information on the value of losses from various types of robberies. Results of the surveys are published in Population-at-Risk Rates and Selected Crime Indicators. Independentsimple random samples of reports for three types of robberies— highway, gas station, and convenience store—gave the following data, in dollars, on value of losses. Highway Gasstation Conveniencetore 952 1298 844 996 1195 921 839 1174 880 1088 1113 706 1024 953 602 1280 614 a. What does MSTR measure?b. What does MSE measure?c. Suppose that you want to perform a one-way ANOVA to compare the mean losses among the three types of robberies. What conditions are necessary? How crucial are those conditions?
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.
Applying the Concepts and Skills
Losses to Robbery. Refer to Problem.
a. Obtain individual normal probability plots and the standard deviations of the samples.
b. Perform a residual analysis.
c. Decide whether presuming that the assumptions of normal populations and equal standard deviations are met is reasonable.
Losses to Robbery. The Federal Bureau of Investigation conducts surveys to obtain information on the value of losses from various types of robberies. Results of the surveys are published in Population-at-Risk Rates and Selected Crime Indicators. Independentsimple random samples of reports for three types of robberies— highway, gas station, and convenience store—gave the following data, in dollars, on value of losses.
| Highway | Gasstation | Conveniencetore |
| 952 | 1298 | 844 |
| 996 | 1195 | 921 |
| 839 | 1174 | 880 |
| 1088 | 1113 | 706 |
| 1024 | 953 | 602 |
| 1280 | 614 |
a. What does MSTR measure?
b. What does MSE measure?
c. Suppose that you want to perform a one-way ANOVA to compare the mean losses among the three types of robberies. What conditions are necessary? How crucial are those conditions?
Step by step
Solved in 2 steps with 3 images
