Men’s heights are normally distributed with a mean of 69.5 in. and a standard deviation of 2.4 in. Women’s heights are normally distributed with a mean of 63.8 in and a standard deviation of 2.6 Most of the live Disney Characters have height requirements with a minimum of 4ft. 8in. and a maximum of 6ft. 3in. Find the percentage of women meeting the height _________________________ Find the percentage of men meeting the height ___________________________ If the height requirements are changed to exclude only the tallest 3% of men and the shortest 3% of women, 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.
- Men’s heights are
normally distributed with a mean of 69.5 in. and a standard deviation of 2.4 in. - Women’s heights are normally distributed with a mean of 63.8 in and a standard deviation of 2.6
Most of the live Disney Characters have height requirements with a minimum of 4ft. 8in. and a maximum of 6ft. 3in.
- Find the percentage of women meeting the height _________________________
- Find the percentage of men meeting the height ___________________________
- If the height requirements are changed to exclude only the tallest 3% of men and the shortest 3% of women, what are the new height requirements?
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