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 4.10 ounces and a standard deviation of 0.20 ounce. Suppose that you select a sample of 16 oranges.
a. What is the probability that the sample mean amount of juice will be at least 4.03ounces?
b. The probability is 74% that the sample mean amount of juice will be contained between what two values symmetrically distributed around the population mean?
c. The probability is 78% that the sample mean amount of juice will be greater than what value?
