There are dozens of personality tests available on the World Wide Web. One test, scored on a scale of 0 to 200 , is designed to give an indication of how "personable" the test taker is, with higher scores indicating more "personability." Suppose that scores on this test have a mean of 98 and a standard deviation of 18 . Complete the f
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.
There are dozens of personality tests available on the World Wide Web. One test, scored on a scale of 0 to 200 , is designed to give an indication of how "personable" the test taker is, with higher scores indicating more "personability."
Suppose that scores on this test have a mean of 98 and a standard deviation of 18
. Complete the following statements about the distribution of scores on this personality test.
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(a) According to Chebyshev's theorem, at least ? 56% 75% 84% 89% of the scores lie between 53 and 143 . (b) According to Chebyshev's theorem, at least ? 56% 75% 84% 89% of the scores lie between 62 and 134 . (c) Suppose that the distribution is bell-shaped. According to the (d) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 99.7% of the scores lie between and . |
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