Question

The time it takes to train a newly hired telephone sales representative is normally distributed with...

The time it takes to train a newly hired telephone sales representative is normally distributed with a mean of 136 hours and a standard deviation of 8.9 hours.

What time represents the 20th percentile of the times to train a newly hired telephone sales representative?

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Answer #1

Z score for 20th percentile = Z20 = -0.84

Z = (X - mean) / sd

or, X = mean + Z * sd

or, X = 136 - 0.84 * 8.9

or, X = 128.5 hours

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