1) Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with=111

=

111

and=24

=

24

.

(a) What proportion of children aged 13 to 15 years old have scores on this test above 97 ? (NOTE: Please enter your answer in decimal form. For example, 45.23% should be entered as 0.4523.)

Answer:

(b) Enter the score which marks the lowest 25 percent of the distribution.

Answer:

(c) Enter the score which marks the highest 10 percent of the distribution

2)Find the z-score from a standard normal distribution that satisfies each of the following statements.

(a) The pointzwith 1.25 percent of the observations falling below it.

z=

(b) The closest pointzwith 25.22 percent of the observations falling above it.

z=

3) Almost all medical schools in the United States require applicants to take the Medical College Admission Test (MCAT). On one exam, the scores of all applicants on the biological sciences part of the MCAT were approximately Normal with mean 8.9 and standard deviation 2.2. For applicants who actually entered medical school, the mean score was 10.9 and the standard deviation was 1.4.

(a) What percent of all applicants had scores higher than 13?

ANSWER:

(b) What percent of those who entered medical school had scores between 9 and 12?

ANSWER: