Question: A department store gives in-service training to its salesmen which are followed by a test. It is considering whether it should terminate the services of any salesman who does hot do well in the test. The following data gives the test scores and sales made by the salesmen during a certain period. Test Scores : 15 20 25 22 27 23 16 21 20 Sales (Thousand Tk): 43 17 49 38 51 46 33 41 39
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.
If we want to estimate sales based on the test scores, which variable is the dependent variable and which is the independent variable? Justify.
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