A radar unit is used to measure speeds of cars on a highway. The speeds are normally distributed with a mean of 75 mph and a standard deviation of 10.5 mph. If a driver has a driving speed less than 50 mph on the motorway, the driver will receive a ticket for driving too slow. What is the Z-score associated with getting a ticket for driving too slow? Round to the 100ths place. You must show your work to receive credit.
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.
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