Question: James and Julia have completed a test. Scores on this test were normally distributed with a mean of 55 and standard deviation of 7. (a)

James and Julia have completed a test. Scores on this test were normally distributed with a mean of 55 and standard deviation of 7.

(a) Julia's score on the test was 77. Find the z-score equivalent for her test-score and estimate the proportion of students from the class she outscored (i.e., proportion of students with a lower score).

(b) James's score put him at the 78th percentile of the class. What's his test score?

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