Find each of the requested values for a population with a mean of µ = 40 and a standard deviation of σ = 8.
a. What is the z-score corresponding to X = 52?
b. What is the X value corresponding to z = – 0.50?
c. If all of the scores in the population are transformed into z-scores, what will be the values for the mean and standard deviation for the complete set of z-scores?
d. What is the z-score corresponding to a sample mean of M = 42 for a sample of n = 4 scores?
e. What is the z-score corresponding to a sample mean of M = 42 for a sample of n = 16 scores?
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