Question

Suppose that you got a score of X=78 on an English test for which the mean was (mu)=70 and the standard deviation was (lower case sigma)=10. Also, suppose that you got a scores of X=64 on a Spanish test with mean(mu)=50 and (lower case sigma)=7. For which test would you expect the better grade? Explain your answer.

(this is for a population)

Answer 1

On the English test you were 0.8-sigma above the average, and on the Spanish test you were also 2.0 sigma above the average. The Spanish test result deserves the better grade.