General Instructions: Read and analyze each of the following situations below. Then, answer

what is asked in the situation by computing the z-scores, illustrating (through normal curves)

and identifying the proportions. Complete solution is required for complete points to be

awarded. (40 pts.)

1. Most graduate schools of Psychology require applicants for admission to take the Graduate Management

Admission Council's GPAT examination. Scores on the GPAT are roughly normally distributed with a mean of

527 and a standard deviation of 112.

a. If you will take the exam, what is the probability of you scoring above 500 on the GPAT?

b. How high must an individual score on the GMAT in order to score in the highest 5%?

2. The length of human pregnancies from conception to birth approximates a normal distribution with a mean

of 266 days and a standard deviation of 16 days.

a. What proportion of all pregnancies will last between 240 and 270 days (roughly between 8 and 9 months)?

b. What length of time marks the shortest 70% of all pregnancies (70% and below)?