Assume that a population of thousands of people whose responses were used to develop the anxiety test had scores that were normally distributed with (MEAN)M μ = 30 and (STANDARD DEVIATION)s σ = 10. What proportion of people in this population would have anxiety scores within each of the following ranges of scores? Assuming that a score in the top 5% of the distribution would be considered extremely anxious, would a person whose anxiety score was 50 be considered extremely anxious? below 20 above 30 between 10 and 50 below 10 below 50 either below 10 or above 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.
Assume that a population of thousands of people whose responses were used to develop the anxiety test had scores that were
below 20
above 30
between 10 and 50
below 10
below 50
either below 10 or above 50
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