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A variable X was measured in two different populations. In population (A), the distribution of raw scores for this variable is normal. In population (B), the distribution of raw scores for this variable is bimodal. All the scores, in both distributions, were converted to z-scores.
a. What is the shape of the z-scores' distribution in population (A)?
b. What is the shape of the z-scores' distribution in population (B)?
c. Based on these data, can you tell what is the mean and what is the standard deviation of the zscores' distribution in each of the populations? If so, what is the mean and what is the standard deviation in each distribution? Explain your answer.
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