number of days a patient was hospitalized with a diagnosis of traumatic injury were recorded as follows: 20 19 18 18 17 17 17 15 15 14 14 14 13 13 12 11 11 10 10 10 10 9 9 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6
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 number of days a patient was hospitalized with a diagnosis of traumatic injury were recorded as follows: 20 19 18 18 17 17 17 15 15 14 14 14 13 13 12 11 11 10 10 10 10 9 9 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1
Calculate the percentage of scores with stays greater than two weeks
From the given information,
The total number of observations is,
n=75.
Let x denote the number of patients stays greater than 2 two weeks.
Let p denote the percentage of scores with stays greater than two weeks.
From the available data, the number of patients stays greater than 2 weeks is,
x=59
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