A company grades its managers in such a way that the top 10%receive an A grade,

Question

A company grades its managers in such a way that the top 10%receive an A grade, the bottom 10% a C, and the middle 80% aB. Suppose that performance scores follow a NormalDistribution. How many standard deviations above and below the mean do theA/B and B/C cutoffs lie. (says to use technology and the standard Normal distributionto answer this question) A company grades its managers in such a way that the top 10%receive an A grade, the bottom 10% a C, and the middle 80% aB. Suppose that performance scores follow a NormalDistribution. How many standard deviations above and below the mean do theA/B and B/C cutoffs lie. (says to use technology and the standard Normal distributionto answer this question)

Explanation / Answer

Look for a Standard Normal Distribution table in your textbook oron the Internet. 68% of data lie within 1 standard deviation from the mean. 17% are above 1 std dev and 17% are below 1 std dev 95% of data lie within 2 standard deviations from the mean. 2.5%are above 2 std dev and 2.5% are below 2 std dev 99.7% of data lie within 3 standard deviations from the mean. Now apply this to your scenario above. Your AB and BC cutoffslie between 1 and 2 standard deviations. Use your table toget the correct amount.

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