A student wants to convert a set of six z-scores (4.2, 1.6, +0.1, +0.6, +1.4, +2.1) to

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A student wants to convert a set of six z-scores (–4.2, –1.6, +0.1, +0.6, +1.4, +2.1) to a scale that has a mean of 80 and a standard deviation of 20.

a. What is the new score for each of these six individuals?

b. What would the new score be for an individual with a z-score of 0? Why?

c. What would the new scores be if the z-scores were converted to a scale that had a mean of 10 and a standard deviation of 1?

d. What would the new scores be if the z-scores were converted to a scale that had a mean of 0 and a standard deviation of 5?

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