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Published byHeidi Halttunen Modified over 6 years ago
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Figure 5-1 (p. 139) Two distributions of exam scores
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.
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Figure 5-2 (p. 141) The relationship between z-score values and locations in a population distribution.
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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.
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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.
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Figure 5-5 (p. 147) Transforming a distribution of raw scores (top) into z-scores (bottom) will not change the shape of the distribution.
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Table 5.1 (p. 151) A demonstration of how two individual scores are changed when a distribution is standardized. See Example 5.6.
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Figure 5-6 (p. 151) The distribution of exam scores from Example 5
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.
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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).
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Figure 5-8 (p. 153) A diagram of a research study
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.
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