Question

1. Suppose that to qualify for a management training program offered by your employer you must score in the top 10% of those employees who take a standardized test. Assume that the distribution of scores is normal and you received a score of 72 on the test, which had a mean of 65 and a standard deviation of 4. What percentage of those who took this test had a score below yours?
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Answer #1

Here as the distribution is normal

Mean score = 65

standard deviation = 4

I scored = 72

so here

standarized z score = (72 - 65)/4 = 1.75

so here as we look the percentile score related to z score = NORMSINV(1.75) = 0.96

so here there are 96% of students had a z score less than mine.

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