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

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In a population with σ = 8,a score of X = 44 corresponds to a z-score of z = -0.50.What is the population mean?

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A distribution with µ = 35 and σ = 8 is being standardized so that the new mean and standard deviation will be µ = 50 and σ = 10.In the new,standardized distribution,your score is X = 45.What was your score in the original distribution?

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Transforming an entire distribution of scores into z-scores will not change the shape of the distribution.

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In a distribution with σ = 20,a score that is below the mean by 10 points will have a z-score of z = 0.50.

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For a sample with a standard deviation of s = 10,a score with a deviation of +5 will have a z-score of z = 0.50.

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A population has μ = 50.What value of σ would make X = 55 a central,representative score in the population?

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A score that is 2 points higher than the sample mean has a z-score of z = 0.50,and a score of X = 44 has a z-score of -1.00.What is the sample mean?

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A sample of n = 20 scores has a mean of M = 45 and a standard deviation of s = 8.In this sample,what is the z-score corresponding to X = 57?

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Explain what is measured by the sign of a z-score and what is measured by its numerical value.

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In a distribution with µ = 80 and σ = 20,a score of X = 95 corresponds to z = 1.50.

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A population of scores has µ = 80.In this population,a score of X = 86 corresponds to z = +2.00.What is the population standard deviation?

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Under what circumstances is a score that is located 5 points above the mean a central value,relatively close to the mean?

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For an exam with a mean of M = 74 and a standard deviation of s = 8,Mary has a score of X = 80,Bob's score corresponds to z = +1.50,and Sue's score is located above the mean by 10 points.If the students are placed in order from smallest score to largest score,what is the correct order?

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A score that is 6 points above the mean corresponds to a z-score of z = +0.50.For this population,the standard deviation is σ = 3.

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For a sample with M = 50 and s = 8,z = 1.50 corresponds to X = 65.

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For a population with a standard deviation of σ = 6,what is the z-score corresponding to a score that is 12 points above the mean?

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In a sample with s = 6,a score of X = 53 corresponds to z = -0.50.The mean for this sample is M = 56.

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For a sample of n = 30 scores,X = 45 corresponds to z = 1.50 and X = 40 corresponds to z = +1.00.What are the values for the sample mean and standard deviation?

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For a population with µ = 40 and σ = 8,what is the X value corresponding to z = 1.50?

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For a sample of n = 100 scores,X = 45 corresponds to z = 0.50 and X = 52 corresponds to z = +1.00.What are the values for the sample mean and standard deviation?

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