A normal distribution has = 26 and = 5.

(a)

Find the z score corresponding to x = 21. (Enter an exact number.)

(b)

Find the z score corresponding to x = 38. (Enter a number.)

(c)

Find the raw score corresponding to z = 2. (Enter an exact number.)

(d)

Find the raw score corresponding to z = 1.7. (Enter a number.)

Raul received a score of 77 on a history test for which the class mean was 70 with a standard deviation of 10. He received a score of 76 on a biology test for which the class mean was 70 with standard deviation 10. On which test did he do better relative to the rest of the class?