Disney Monorail: The Mark VI monorail use ad Disney World has doors with a height of 72 in. Heights of men are normally distributed with a mean of 68.6 in and a standard deviation of 2.8 in. a.What percentage of adult males can fit through the doors without bending? Does the door design with a size of 72in. appear to be adequate? Explain. b.What doorway height would allow 99% of adult men to fit without bending?
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.
- Disney Monorail: The Mark VI monorail use ad Disney World has doors with a height of 72 in. Heights of men are
normally distributed with amean of 68.6 in and a standard deviation of 2.8 in.
a.What percentage of adult males can fit through the doors without bending? Does the door design with a size of 72in. appear to be adequate? Explain.
b.What doorway height would allow 99% of adult men to fit without bending?
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