Exam 5: z-Scores: Location of Scores and Standardized Distributions.

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In a population of scores,X = 83 corresponds to z = -0.50 and X = 93 corresponds to z = +2.00.What are the values for the population mean and standard deviation?

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If an entire population of N = 20 scores is transformed into z-scores,the set of 20 z-scores will have SS = 20.

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Using z-scores,a population with µ = 37 and σ = 6 is standardized so that the new mean is µ = 50 and σ = 10.After the standardization,one individual has a score of X = 55.What was this individual's score in the original distribution?

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For a population with µ = 40 and σ = 8,find the z-score corresponding to each of the following X values: 42,52,36,32

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Last week Sarah had exams in math and in Spanish.On the math exam,the mean was µ = 40 with σ = 5,and Sarah had a score of X = 45.On the Spanish exam,the mean was µ = 60 with σ = 8,and Sarah had a score of X = 68.For which class should Sara expect the better grade?

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A population of scores with µ = 43 and σ = 8 is standardized to create a new population with µ = 50 and σ = 10.What is the new value for each of the following scores from the original population? Scores: 43,47,55,35

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