The monthly income of 5,000 workers at the Microsoft plant are distributed normally. Suppose the mean monthly income is $1250 and the standard deviation is $250. How many workers earn more than $1500 per month? How many workers earn less than $750 per month? What percentage of the workers earn between $750 and $1500 per month?
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 monthly income of 5,000 workers at the Microsoft plant are distributed normally. Suppose the mean monthly income is $1250 and the standard deviation is $250.
- How many workers earn more than $1500 per month?
- How many workers earn less than $750 per month?
- What percentage of the workers earn between $750 and $1500 per month?
(1)
Determine the number of workers earn more than $1500 per month.
The number of workers earn more than $1500 per month is obtained below as follows:
The number of workers earn more than $1500 per month is 4207.
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