A survey found that women`s heights are normally distributed wit a mean of 63.5 inches and a standard deviation of 2.2 inches. A branch of the military requires women`s heights to be between 58 inches and 80 inches. a) Find the percentage of women meeting the height requirement. Are many women being denied the opportunity to join this branch of the military because they are too short or too tall? b) If this branch of the military changes the height requirement so that all women are eligible except the shortest 1% and tallest 2%, what are the new height requirements?
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.
A survey found that women`s heights are
a) Find the percentage of women meeting the height requirement. Are many women being denied the opportunity to join this branch of the military because they are too short or too tall?
b) If this branch of the military changes the height requirement so that all women are eligible except the shortest 1% and tallest 2%, what are the new height requirements?
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