The scores on the entrance exa at a well-known, exclusive law school are normall

Question

The scores on the entrance exa at a well-known, exclusive law school are normally distributed with a mean score of 257 and a standard deviation equal to 22. At what value should the lowest passing score be set if the school wishes only 2.5 percent of those taking the test to pass? (Round your answer to nearest whole number.)

The scores on the entrance exa at a well-known, exclusive law school are normally distributed with a mean score of 257 and a standard deviation equal to 22. At what value should the lowest passing score be set if the school wishes only 2.5 percent of those taking the test to pass? (Round your answer to nearest whole number.)

Explanation / Answer

z-score has an area to the left of it of (1 - .025) = .975

z = 1.96
z = (x - m) / s = (x - 257)/22 = 1.96, x = 300.12 = 300

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