The sensitivity analysis in the Quality Sweaters example was on the response rate. Suppose now that the response rate is known to be 8%, and the company wants to perform a sensitivity analysis on the number mailed. After all, this is a variable under direct control of the company. Create a one-way data table and a corresponding line chart of profit versus the number mailed, where the number mailed varies from 80,000 to 150,000 in increments of 10,000. Does it appear, from the results you see here, that there is an optimal number to mail, from all possible values, that maximizes profit? Write a concise memo to management about your results.
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.
The sensitivity analysis in the Quality Sweaters example was on the response rate. Suppose now that the response rate is known to be 8%, and the company wants to perform a sensitivity analysis on the number mailed. After all, this is a variable under direct control of the company. Create a one-way data table and a corresponding line chart of profit versus the number mailed, where the number mailed varies from 80,000 to 150,000 in increments of 10,000. Does it appear, from the results you see here, that there is an optimal number to mail, from all possible values, that maximizes profit? Write a concise memo to management about your results.
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