Exam 6: The Normal Curve, Standardization and Z Scores

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A z score allows one to compare scores to each other, but not when they are based on different scales.

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The _____ is a normal distribution of z scores.

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Which score is more extreme: 0.68 or -0.92?

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The formula for z based on the mean of a sample is:

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A z score allows one to compare scores to each other, even when they are based on different scales.

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The z distribution is equivalent to a distribution of _____ scores.

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Less than 5 percent of the distribution of scores falls beyond a z score of +/-1.0.

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

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Data approaches a normal distribution as sample size increases, thus making sample size important in relation to the normal curve.

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The formula for calculating the raw score from a z score is:

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The symbol for the population mean is:

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

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A distribution of means comprises many, many means of samples, all of the same size.

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The symbol for the standard error is:

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Making meaningful comparisons of variables, even when they were measured on different scales, requires converting those variables to a common scale.This process is called:

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Gibson (1986) asked a sample of college students to complete a self-esteem scale on which the midpoint of the scale was the score 108.He found that the average self-esteem score for this sample was 135.2, well above the actual midpoint of the scale.Given that the standard deviation of self-esteem scores was 28.15, what would be the z score for a person whose self-esteem score was 104.28?

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In a normal standard curve, approximately _____ percent of scores fall within 1 standard deviation from the mean.

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If a distribution of scores has a mean of 50 and a standard deviation of 5, then a score of 70 has a z score that is _____ standard deviation(s) from the mean.

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If you have a z score of 0, then you have a raw score equal to the mean.

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A person with a z score of 0 would have a raw score equal to:

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