Exam 6: The Normal Curve, Standardization and Z Scores

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A z score is the distance a score is from the mean of its distribution, expressed in standard deviations.

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Findings that are in the most extreme _____ percent are considered significant and worthy of publishing.

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A z statistic is used to refer to a distribution of scores.

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When calculating a z score for a distribution of means, the z score is referred to as a:

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A(n) _____ is the number of standard deviations a score is from the mean.

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_____ is the symbol that describes the spread of means.

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A distribution of means would be more likely to have a(n) _____ compared to a distribution of raw scores.

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Approximately _____ percent of scores fall within 1 standard deviation from the mean.

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Which of these z scores from a single distribution of scores corresponds to the raw score farthest from the mean of the distribution?

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A negative z score will convert into a raw score that is above the mean of its distribution.

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Compared to a distribution of scores, the distribution of means has less spread because:

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The central limit theorem asserts that as sample size increases:

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Any raw score can be converted into a z score as long as you know the mean and standard deviation of the distribution.

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_____ is the symbol that describes the spread of scores.

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Approximately _____ percent of scores fall within 2 standard deviations from the mean.

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Means are less extreme than scores because, with means, extreme observations are combined with more average observations or scores in the opposite direction.

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Repeated sampling of _____ approximates a normal curve, even when the underlying population is skewed.

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One implication of the central limit theorem is that a distribution of means will be more variable than a distribution of scores taken from the same population.

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The formula for calculating a z score is:

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The mean of the distribution of a set of z scores is:

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