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The fill amount of bottles of a soft drink is normally distributed with a mean of 2.0 liters and a standard deviation of 0.05 liter.

The fill amount of bottles of a soft drink is normally distributed with a mean of 2.0 liters and a standard deviation of 0.05 liter.

a. If you select a random sample of 49 bottles, what is the probability that the sample mean will be between 1.99 and 2.02 liters?

b. If the sample size had been 15 rather than 49, could the probability requested in part (a) be calculated from the given information? Why?

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