Table 2.1 Shopping Times 18 34 42 37 19 37 30 40 28 34 71 18 46 42 34 30 21 23 40 37 57 69 73 47 45 38 34 25 34 23 37 20 63 57 73 52 20 31 18 42 25 40 21 40 57 69 71 55 33 38 30 41 18 31 34 18 63 57 70 25 33 21 48 34 25 45 34 21 31 70 69 21 37 51 50 25 51 42 52 67 18 68 31 37 52 52 43 45 43 18 25 70 64 23 30 19 50 59 60 60 68 69 70 59
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 an endeavor to increase sales at a local mall, the management gathered data on the amount of time that current shoppers spend in the mall. A random sample of n = 104 shoppers were timed, and the results (in minutes) are given in Table 2.1. Find the 25th and 85th percentiles. The data is listed in Table 2.1 and contained in the data file Shopping Times.
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