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zib 1. What information is provided by the sign (+/-) of a z-score? What information is provided by the numerical value of the z-score?

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zib 1. What information is provided by the sign (+/-) of a z-score? What information is provided by the numerical value of the z-score? in mod noise 2. A distribution has a standard deviation of = 10. Find the z-score for each of the following locations in the distribution. a. Above the mean by 5 points. b. Above the mean by 2 points. c. Below the mean by 20 points. d. Below the mean by 15 points. 3. For a distribution with a standard deviation of = 20, describe the location of each of the following z-scores in terms of its position relative to the mean. T For example, z = +1.00 is a location that is 20 points above the mean. to m a. z+2.00 b. z = +0.50 ods si X 19 c. z = -1.00 d. z = -0.25 4. For a population with p = 60 and = 12, lai a. Find the z-score for each of the following X values. (Note: You should be able to find these values using the definition of a z-score. You should not need to use a formula or do any serious calculations.) X = 75 X = 48 X = 84 X = 54 XX = 78 X = 51 b. Find the score (X value) that corresponds to each of the following z-scores. (Again, you should not need a formula or any serious calculations.) N = 1.00 z = -0.50 z = 0.25 z = 1.50 z = -1.25 z = -2.50 5. For a population with p = 40 and or = 11, find the z-score for each of the following X values. (Note: You probably will need to use a formula and a calculator to find these values.) X = 45 X = 52 X = 41 X = 30 X = 25 X = 38 6. For a population with 97

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