A hotel manager must distribute salary raises for next year. She has decided that the mean raise is to be $2,000, the standard deviation of the raise is to be $400, and the distribution approximates normally. the highest 10% of the employees (ranked by merit) will have a raise equal to or greater than $___________. b. the 5% of the employees with the lowest merit rating will receive no more than $__________ each.
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.
6. A hotel manager must distribute salary raises for next year. She has decided that the mean raise is to be $2,000, the standard deviation of the raise is to be $400, and the distribution approximates normally.
- the highest 10% of the employees (ranked by merit) will have a raise equal to or greater than $___________.
b. the 5% of the employees with the lowest merit rating will receive no more than $__________ each.
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