In Statsville there’s a city-wide speed limit of 30 mph.If you are caught speeding the fine is $100 plus $10 forevery mile per hour you were over the speed limit. Forexample, if you’re ticketed for going 45 mph, your fine is100 + 10145 - 302 = +250. Last month all the driverswho were fined for speeding averaged 42 mph with astandard deviation of 7 mph. What were the mean andstandard deviation of the fines?A) $120 and $70 B) $220 and $7C) $220 and $70 D) $220 and $170E) $420 and $70
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.
In Statsville there’s a city-wide speed limit of 30 mph.
If you are caught speeding the fine is $100 plus $10 for
every mile per hour you were over the speed limit. For
example, if you’re ticketed for going 45 mph, your fine is
100 + 10145 - 302 = +250. Last month all the drivers
who were fined for speeding averaged 42 mph with a
standard deviation of 7 mph. What were the
standard deviation of the fines?
A) $120 and $70 B) $220 and $7
C) $220 and $70 D) $220 and $170
E) $420 and $70
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