90.2K

Verified Solution

Link Copied!

The Graduate Record Examination (GRE) is a test required foradmission to many U.S. graduate schools. Students' scores on thequantitative portion of the GRE follow a normal distribution withmean 150 and standard deviation 8.8. In addition to otherqualifications, a score of at least 165 is required for admissionto a particular graduate school.

A) Describe how you would shade the region under the normalcurve that represents test takers who scored above 165 in thequantitative portion of the GRE.

B) What proportion of GRE scores can be expected to be over165? (rounded to hundredths)

C) What proportion of GRE scores can be expected to be under165?

D) What proportion of GRE scores can be expected to be between155 and 165?

E) What is the probability that a randomly selected studentwill score less than 145 points?

F) Determine the 75th percentile of the GRE scores (rounded toa whole number)

G) Determine the range of scores that make up the middle 90%of all scores (rounded to whole numbers). Low bound and highbound?

Suppose n = 16 randomly selected students take the GRE on thesame day.

Describe the sampling distribution of the sample mean for thequantitative GRE Scores for the 16 students.

H) The Shape is

I) The Mean is

J) The Sd is

K) What is the probability that a random sample of 16 studentshas a mean score on the GRE that is less than 147?

L) Would this (K) be an unusual outcome?

M) What is the probability that a random sample of 16 studentshas a mean score on the GRE that is greater than 165?