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The mean per capita consumption of milk per year is 141 liters with a standard deviation...

The mean per capita consumption of milk per year is 141 liters with a standard deviation of 20 liters.

If a sample of 198 people is randomly selected, what is the probability that the sample mean would differ from the true mean by greater than  3.81 liters? Round your answer to four decimal places.

Math   Statistics-And-Probability   
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Answer #1

Solution :

= / n = 20 / 198

= 1 - P[-3.81 / 20 / 198< ( - ) / < 3.81 / 20 / 198)]

= 1 - P(-2.68 < Z < 2.68)

= 1 - [P(Z < 2.68) - P(Z < -2.68)]

= 0.0074

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