Question: Standardized test X has a mean of 1000 and a standard deviation of 300. Standardized test Y has a mean of 50 and a standard

Standardized test X has a mean of 1000 and a standard deviation of 300. Standardized test Y has a mean of 50 and a standard deviation of 10. The distribution of both test X and test Y scores is approximately normal. Bob scored 1450 on test X and Alice scored 70 on test Y.

(a) What is Bob’s Z-score and what is Alice’s Z-score?

(b) What does each of their Z-scores mean?

(c) Did Bob or Alice do better on their respective tests (i.e., which one did better with
respect to all the scores for their respective test)? Give your reason.

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