A physician routinely makes physical examinations of children and is concerned that a three-year-old girl has a height of only 81 centimeters. Heights of 3-year-old girls have a mean of 97.5 cm and a standard deviation of 6.9 cm. Use the Range Rule of Thumb to find the maximum and minimum usual heights of three-year-old girls. Based on the result, is the height of 81 cm unusual for a three-year-old girl
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 physician routinely makes physical examinations of children and is concerned that a three-year-old girl has a height of only 81 centimeters. Heights of 3-year-old girls have a mean of 97.5 cm and a standard deviation of 6.9 cm. Use the
Range Rule of Thumb to find the maximum and minimum usual heights of three-year-old girls. Based on the result, is the height of 81 cm unusual for a three-year-old girl?
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