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electricity bills in a certain city have mean 120.13. assume the bills are normally distributed with...

electricity bills in a certain city have mean 120.13. assume the bills are normally distributed with standard deviation 13.60. a sample of 54 bills was selected for an audit. find the 62 percentile for the sample mean. round to two decimal places.

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Answer #1

mean = 120.13
sd = 13.6

z-value from 62 percentile is 0.31

using central limit theorem,
x = mean + z * sigma/sqrt(n)
x = 120.13 + 0.31*13.6/sqrt(54)
x = 120.70

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