Caught speeding Suppose police set up radar surveil-lance on the Stanford street described in Exercise 18. They handed out a large number of tickets to speedersgoing a mean of 28 mph, with a standard deviationof 2.4 mph, a maximum of 33 mph, and an IQR of3.2 mph. Local law prescribes fines of $100, plus $10per mile per hour over the 20 mph speed limit. Forexample, a driver convicted of going 25 mph would befined 100 + 10152 = +150. Find the mean, standarddeviation, maximum, and IQR of all the potentialfines.
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.
lance on the Stanford street described in Exercise 18.
going a
of 2.4 mph, a maximum of 33 mph, and an IQR of
3.2 mph. Local law prescribes fines of $100, plus $10
per mile per hour over the 20 mph speed limit. For
example, a driver convicted of going 25 mph would be
fined 100 + 10152 = +150. Find the mean, standard
deviation, maximum, and IQR of all the potential
fines.
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