Answer :
Final answer:
The LSAT scores are approximately normal with a mean of 150 and standard deviation of 9. Queen's School of Business requires a minimum LSAT score of 157 for admission.
Explanation:
The Law School Admission Test (LSAT) is a standardized test required for admission to many law schools. The scores on the LSAT are approximately normal with a mean of 150 and standard deviation of 9. This means that most scores will fall within three standard deviations of the mean (i.e., 123 to 177). Queen's School of Business in Kingston, Ontario requires a minimum LSAT score of 157 for admission.
This means that an applicant needs to score higher than about 98.3% of test-takers to be considered for admission. Using the normal distribution table or a calculator, we can determine that the z-score corresponding to an LSAT score of 157 is 1.89. Lastly, we can calculate the proportion of test-takers who meet the admission requirement by finding the area under the standard normal curve to the right of 1.89, which is 1 - 0.9693 = 0.0307 or about 3.1%.
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