The distribution of the weights of patients at a local urgent care clinic is Normal, with a mean of 150 pounds and a standard deviation of 10.6 pounds. (a) What percent of patients weigh less than 130 pounds? (b) What percent of patients weigh at least 160 pounds? (c) What percent of patients weigh between 135 and 175 pounds?
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.
The distribution of the weights of patients at a local urgent care clinic is Normal, with a mean of 150 pounds and a standard deviation of 10.6 pounds.
(a) What percent of patients weigh less than 130 pounds?
(b) What percent of patients weigh at least 160 pounds?
(c) What percent of patients weigh between 135 and 175 pounds?
(d) What weight cuts off the bottom 15% of patient weights at this clinic?
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