A population X is normally distributed with mean 71.5 and standard deviation 8.6. For each of the following values of x, find the corresponding z-number. Round off your answers to two decimal places. (a) x = 90 (b) x = 80 (c) x = 75 (d) x = 70 (e) x = 60 (f) x = 50
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 population X is
(b) x = 80
(c) x = 75
(d) x = 70
(e) x = 60
(f) x = 50
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