Suppose the scores on a college entrance examination are normally distributed with a mean of 525 and a standard deviation of 115. A certain prestigious university will consider admission only for those applicants whose scores exceed the 90th percentile of the distribution. Find the minimum score an applicant must achieve in order to receive consideration for admission to the university. Round your answer up to the nearest integer.
Added by Raymond S.
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Step 1
Given that the 9th percentile corresponds to a probability of 0.09, we need to find the z-score that corresponds to this probability. Using a standard normal distribution table or calculator, we find that the z-score is approximately -1.285. Show more…
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