Assume that human body temperatures are normally distributed with a mean of 98.20 degrees F and a standard deviation of 0.62 degrees F. a) A hospital uses 100.6 degrees F as the lowest temperature considered to be a fever. What percentage of normal and healthy persons would be considered to have a fever? b) Physicians want to select a minimum temperature for requiring medical tests. What should the temperature be, if we want only 0.5% of healthy people to exceed it?
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.
Assume that human body temperatures are
a) A hospital uses 100.6 degrees F as the lowest temperature considered to be a fever. What percentage of normal and healthy persons would be considered to have a fever?
b) Physicians want to select a minimum temperature for requiring medical tests. What should the temperature be, if we want only 0.5% of healthy people to exceed it?
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