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An orange juice producer...

An orange juice producer buys oranges from a large orange grove that has one variety of orange. The amount of juice squeezed from these oranges is approximately normally distributed, with a mean of 6.06.0 ounces and a standard deviation of 0.240.24 ounce. Suppose that you select a sample of 3636 oranges.

a. What is the probability that the sample mean amount of juice will be at least 5.685.68 ounces?

b. The probability is 7676% that the sample mean amount of juice will be contained between what two values symmetrically distributed around the population mean?

c. The probability is 7575% that the sample mean amount of juice will be greater than what value?

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