Download Figure 5-1 (p. 139)

Figure 5-1 (p. 139)
Two distributions of exam scores. For both distributions, µ = 70, but for one
distribution, σ = 12. The position of X = 76 is very different for these two
distributions.
Statistics for the Behavioral Sciences, Sixth Edition by Frederick J. Gravetter and Larry B. Wallnau
Copyright © 2004 by Wadsworth Publishing, a division of Thomson Learning. All rights reserved.
Figure 5-2 (p. 141)
The relationship between z-score values and locations in a population distribution.
Statistics for the Behavioral Sciences, Sixth Edition by Frederick J. Gravetter and Larry B. Wallnau
Copyright © 2004 by Wadsworth Publishing, a division of Thomson Learning. All rights reserved.
Figure 5-3 (p. 145)
An entire population of scores is transformed into z-scores. The transformation does
not change the shape of the population but the mean is transformed into a value of
0 and the standard deviation is transformed to a value of 1.
Statistics for the Behavioral Sciences, Sixth Edition by Frederick J. Gravetter and Larry B. Wallnau
Copyright © 2004 by Wadsworth Publishing, a division of Thomson Learning. All rights reserved.
Figure 5-4 (p. 146)
Following a z-score transformation, the X-axis is relabled in z-score units. The
distance that is equivalent to 1 standard deviation on the X-axis (σ = 10 points in
this example) corresponds to 1 point on the z-score scale.
Statistics for the Behavioral Sciences, Sixth Edition by Frederick J. Gravetter and Larry B. Wallnau
Copyright © 2004 by Wadsworth Publishing, a division of Thomson Learning. All rights reserved.
Figure 5-5 (p. 147)
Transforming a distribution of raw scores (top) into z-scores (bottom) will not change
the shape of the distribution.
Statistics for the Behavioral Sciences, Sixth Edition by Frederick J. Gravetter and Larry B. Wallnau
Copyright © 2004 by Wadsworth Publishing, a division of Thomson Learning. All rights reserved.
Table 5.1 (p. 151)
A demonstration of how two individual scores are changed when a distribution is
standardized. See Example 5.6.
Statistics for the Behavioral Sciences, Sixth Edition by Frederick J. Gravetter and Larry B. Wallnau
Copyright © 2004 by Wadsworth Publishing, a division of Thomson Learning. All rights reserved.
Figure 5-6 (p. 151)
The distribution of exam scores from Example 5.6 The original distribution was
standardized to produce a new distribution with µ = 50 and σ = 10. Note that each
individual is identified by an original score, a z-score, and a new, standardized
score. For example, Joe has an original score of 43, a z-score of –1.00, and a
standardized score of 40.
Statistics for the Behavioral Sciences, Sixth Edition by Frederick J. Gravetter and Larry B. Wallnau
Copyright © 2004 by Wadsworth Publishing, a division of Thomson Learning. All rights reserved.
Figure 5-7 (p. 153)
Using z-scores to determine whether a specific score or sample is near to the
population mean (representative) or very different from the population mean
(nonrepresentative).
Statistics for the Behavioral Sciences, Sixth Edition by Frederick J. Gravetter and Larry B. Wallnau
Copyright © 2004 by Wadsworth Publishing, a division of Thomson Learning. All rights reserved.
Figure 5-8 (p. 153)
A diagram of a research study. The goal of the study is to evaluate the effective-ness
of a treatment. One individual is selected from the population and the treatment is
administered to that individual. If, after treatment, the individual is noticeably different
from the original population, then we have evidence that the treatment does have an
effect.
Statistics for the Behavioral Sciences, Sixth Edition by Frederick J. Gravetter and Larry B. Wallnau
Copyright © 2004 by Wadsworth Publishing, a division of Thomson Learning. All rights reserved.