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# 4 total scores on the gmat graduate management

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4. Total scores on the GMAT (graduate management admission council’s examination) have an approximate Normal distribution with mean 527 points and standard deviation 112 points. How high of a GMAT score is needed to be in the highest 10%? 1. Find X such that the percentage > X is 0.10 2. Find Z such that the percentage > Z is 0.10. For the table, find Z such that the percentage < Z is 0.90. Z = 1.28 3. X = 527 + 1.28(112) = 670.36 or 670. 5. The 90 th percentile of the Z distribution is Z = 0.90. a. True b. False 6. Below is a normal probability plot of salaries for stat 133 students 5 years after they graduate from OSU. Does this data have a Normal distribution? Explain why or why not. No; data does not fall in a straight line. What you observe is not what you expect according to a normal distribution. 2

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The owner of a fish market determined that the average weight for a catfish is 3.6 pounds with a standard deviation of 0.8 pound. Assume catfish weights are normally distributed. 7. What is the probability that a randomly selected catfish will weigh more than 4.8 pounds? a. .9332 b. .0668 c. .0668 * 2 = .1336 d. The probability is 1 because 4.8 is above the mean (3.6)
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• Fall '11
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