Do the data give evidence that certain color cars get more speeding citations (tickets) than you would expect? Use ? = 0.05.
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.
Do certain car colors attract the attention of police more than others, so that they are more likely to get speeding tickets? A few years ago a curious newspaper columnist tabulated the car color on a random sample of 120 speeding citations at the local courthouse. Here are his results.
|
Color |
Red |
White/Silver |
Gray/Black |
Other |
|
Number of speeding tickets |
19 |
28 |
30 |
43 |
He then went to the state motor vehicle registry and obtained data on the distribution of car colors for all cars registered in his state:
|
Color |
Red |
White/Silver |
Gray/Black |
Other |
|
Percentage of cars on highway |
12% |
20% |
19% |
49% |
Do the data give evidence that certain color cars get more speeding citations (tickets) than you would expect? Use ? = 0.05.
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