The z distribution takes on the same shape as the raw scores.
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A z score designates how many standard deviations the raw score is above or below the mean.
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A z score is a transformed score.
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All standard scores are z scores.
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A z distribution always is normally shaped.
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Given the following set of sample raw scores, X: 1, 3, 4, 6, 8 . What is the z transformed value for the raw score of 3?
a. -0.18 c. -0.15
b. -0.48 d. -0.52
A testing service has 1000 raw scores. It wants to transform the distribution so that the mean = 10 and the standard deviation = 1 . To do so, _________.
a. do a z transformation for each raw score and add 10 to each z score.
b. do a z transformation for each raw score and multiply each by 10
c. divide the raw scores by 10
d. compute the deviation score for each raw score. Divide each deviation score by the standard deviation of the raw scores. Take this result for all scores and add 10 to each one.
e. a and d
Table A in your textbook has no negative z values, this means _________.
a. the table can only be used with positive z values
b. the table can be used with both positive and negative z values because it is symmetrical
c. the table can be used with both positive and negative z values because it is skewed
d. none of these
A set of raw scores has a rectangular shape. The z transformed scores for this set of raw scores has a _________ shape.
a. rectangular
b. normal (bell-shaped)
c. it depends on the number of scores in the distribution
d. none of these
If you transformed a set of raw scores, and then added 15 to each z score, the resulting scores _________.
a. would have a standard deviation = 1
b. would have a mean = 0
c. would have a mean =15
d. would have a standard deviation > 1
e. would have a standard deviation =1 and a mean of =15
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