SOLUTION: The fill amount of bottles of soft drink has been found to be normally distributed with a mean of 2.0 liters and a standard deviation of 0.05 liters. If random sample of bottles is

Question 126542: The fill amount of bottles of soft drink has been found to be normally distributed with a mean of 2.0 liters and a standard deviation of 0.05 liters. If random sample of bottles is selected, what is the probability that the sample mean will be between 1.99 and 2.0 liters:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The fill amount of bottles of soft drink has been found to be normally distributed with a mean of 2.0 liters and a standard deviation of 0.05 liters. If random sample of bottles is selected, what is the probability that the sample mean will be between 1.99 and 2.0 liters:
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Find the t-scores of 1.99 and 2.0
t(1.99) = (1.99-2) / 0.05 = -0.01 / 0.05 = -0.2
t(2) = (2-2)/0.05 = 0
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P(1.99 < x-bar < 2.00) = P (-0.2 < t < 0) = 0.079057
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Cheers,
Stan H.
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