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need help with statistics assignment 2

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

2.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

3.For a distribution of scores, X = 40 corresponds to a z-score of z = –1.00, and X = 42 corresponds to a z-score of z = –0.50. What are the values for the mean and standard deviation for the distribution? (Hint: sketch a distribution and locate each of the z-score positions.)

 
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