A tech company develops a navigation app for smartphones that can compute the usual distance it takes to get from one location to another. The company collects location data from 100 smartphones to determine how long it takes to drive from Cleveland, Ohio, to Detroit, Michigan. The company finds that it takes an average of 2.78 hours to drive this distance with a standard deviation of 0.06. The driving times appear to be normally distributed. This company wants to provide an estimate of a range of driving times that include the driving times for 95% of users. What would this range be?
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.
A tech company develops a navigation app for smartphones that can compute the usual distance it takes to get from one location to another. The company collects location data from 100 smartphones to determine how long it takes to drive from Cleveland, Ohio, to Detroit, Michigan.
The company finds that it takes an average of 2.78 hours to drive this distance with a standard deviation of 0.06. The driving times appear to be
This company wants to provide an estimate of a
What would this range be?
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