Question

The placement test for a college has scores that are normally distributed with a mean of 600 and a standard deviation of 50. If the college accepts only the top 14​% of​ examinees, what is the cutoff score on the test for​ admission?

Answer 1

The cut-off score on the placement test for the college is 654 points

Explanation:

1. Let's review the information given to answer the question correctly:

Mean of the scores of the placement test for a college = 600 points

Standard deviation = 50

College only accepts the top 14% of the examinees

Probability is (1 - 0.14) = 0.86

2. Let's calculate the value of z-score, using the z-table:

z-score for .8599 (rounding to .86) is 1.08

Replacing with the real values, we have:

Standard deviation for .8599 (rounding to .86) is:

50 * 1.08 = 54

Cut-off score on the placement test = 600 + 54

The cut-off score on the placement test for the college is 654 points