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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 0.08 liter. Suppose you select a random sample of 25 bottles.
a. What is the probability that the sample mean will be greater than 2.01?
b. The probability is 99% that the sample mean amount of soft drink will be at least how much?
c. The probability is 99% that the sample mean amount of soft drink will be between two values (symmetrically distributed around the mean)?
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Calculate a 96% confidence interval for the population mean.
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