Admission to a certain university is determined by an entry exam. The scores of this test are Normally distributed with a mean of 400 and a standard deviation of 60. Only students who score in the top 30% will be offered admission. Amy scores 425 on the test. Choose the most accurate statement.
A)The top 30% is defined with a score less than or equal to 431.4 so she will be admitted.
B)The top 30% is defined with a score greater than or equal to 431.4 so she will not be admitted.
C)The top 30% of all students have scores greater than or equal to 520 so she will not be admitted.
D)The top 30% of all students have scores greater than or equal to 460 so she will not be admitted.

Question

Quizplus · Accepted Answer

The top 30% corresponds to the upper tail of the normal distribution, meaning students need to score at or above a certain threshold to be in this percentile. Since Amy's score is below 431.4, she does not meet the criterion for the top 30%.

Admission to a Certain University Is Determined by an Entry