In 2018, the commute times to work in Horry county had a mean of 22.3 minutės. Suppose that the distribution of these commute times is symmetric and bell-shaped with a standard deviation of 1 minute. The middle 95% of commute times to work in Horry county (2018) would fall between approximately Select one: a. 19.3 and 25.3 minutes b. 20.3 and 24.3 minutes C. 21.3 and 23.3 minutes d. 22.1 and 22.5 minutes
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.
Solution:
Let X be the commute time.
From the given information, X follows normal distribution with mean µ=22.3 minutes and a standard deviation σ=1 minute.
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