Given the mean and SD of the eight forms of employment in PEAR INC., calculate the z-scores for the individuals who took the exams in the different countries. ROUND Z-SCORES TO THREE DECIMAL PLACES; WRITE Z-SCORES WITH A SIGN (ex. -1.204 for negative z-score and +1.204 for positive) Description Quiz 11: Z-Scores ROUND Z-SCORES TO THREE DECIMAL PLACES (to the nearest thousandth). EACH Z-SCORE SHOULD HAVE A + OR - SIGN IN FRONT TO INDICATE POSITIVE OR NEGATIVE VALUE. Use the data below: Eight forms of an employment exam (one in each country of expansion) are given by PEAR INC. The overall (population) mean and standard deviations of these eight forms are found in the table below. TEST LOCATION MEAN ( ) Standard Deviation ( ) Argentina 82 7 Belgium 39 3.5 China 125 11.5 Denmark 60 5.2 Egypt 92 8.5 France 420 36 Greece 160 14.5 Holland 75 6.5
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.
Given the
ROUND Z-SCORES TO THREE DECIMAL PLACES; WRITE Z-SCORES WITH A SIGN (ex. -1.204 for negative z-score and +1.204 for positive)
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Quiz 11: Z-Scores |
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ROUND Z-SCORES TO THREE DECIMAL PLACES (to the nearest thousandth). EACH Z-SCORE SHOULD HAVE A + OR - SIGN IN FRONT TO INDICATE POSITIVE OR NEGATIVE VALUE. Use the data below: Eight forms of an employment exam (one in each country of expansion) are given by PEAR INC. The overall (population) mean and standard deviations of these eight forms are found in the table below.
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1. Egypt mean = 92; SD = 8.5 Emir took the test in Egypt and scored 90; Emir's Z-score is:
2.France mean = 420; SD = 36 Fran took the test in France and scored 436; Fran's Z-score is:
3.Greece mean = 160; SD = 14.5 Gus took the test in Greece and scored 180; Gus's Z-score is:
4.Holland mean = 75; SD = 6.5 Helen took the test in Holland and scored 90; Helen's Z-score is:
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