The Cotton Mill is an upscale chain of women's clothing stores, located primarily in the southwest United States. Due to recent success, Cotton Mill's top management is planning to expand by locating new stores in other regions of the country. The director of planning has been asked to study the relationship between yearly sales and the store size. As part of the study, the director selects a sample of 25 stores and determines the size of the store in square feet and the sales for last year. The sample data follow. The use of statistical software is suggested. Store Size (thousands of square feet) Store Size (thousands of square feet) 0.4 Sales Sales (millions $) 3.7 (millions $) 9.18 4.58 0.55 7.56 2.0 4.2 8.22 1.45 6.51 3.1 2.6 2.23 4.49 9.90 5.2 2.9 2.82 3.3 8.93 5.2 5.9 10.45 3.2 7.60 9.94 4.9 3.71 3.0 4.43 5.5 2.9 5.47 2.4 4.75 7.30 3.33 8.22 7.17 4.35 2.4 2.2 0.5 2.3 5.0 6.76
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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