SOLUTION: The fill amount of bottles of soft drink is normally distributed with a mean of 2.0 litres and a standard deviation of 0.05 litres. If you select a random sample of 25 bottles, wha

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Question 988567: The fill amount of bottles of soft drink is normally distributed with a mean of 2.0 litres and a standard deviation of 0.05 litres. If you select a random sample of 25 bottles, what is the probability that the sample mean will be:
below 1.98 litres?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The fill amount of bottles of soft drink is normally distributed with a mean of 2.0 litres and a standard deviation of 0.05 litres. If you select a random sample of 25 bottles, what is the probability that the sample mean will be:
below 1.98 litres?
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z(1.98) = (1.98-2)/[0.05/sqrt(25)] = -0.02/(0.05/5) = -0.02/0.01 = -2
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P(x-bar < 1.98) = P(z < -2) = normalcdf(-100,-2) = 0.0228
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Cheers,
Stan H.
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