For a distribution of scores, X = 40 corresponds to a z-score of z = 1.00, and X = 42 corresponds to ...

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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Question 2

For a population with  = 40 and  = 8, find the z-score corresponding to each of the following X values: 42, 52, 36, 32
 
  What will be an ideal response?

Question 3

Explain what is measured by the sign of a z-score and what is measured by its numerical value.
 
  What will be an ideal response?