Question: Question 7.45

The fill amount of a soft drink is normally distributed with a mean of 2.0 liters and a standard deviation of 0.05 liter. If you select a random sample of 25 bottles, what is the probability that the sample mean will be:

a. between 1.99 and 2.0 liters?

b. Below 1.98 liters?

c. Greater than 2.01 liters?

d. The probability is 99% that the sample mean amount of soft drink will be at least how much?

e. The probability is 99% that the sample mean amount of soft drink will be between which two values (symmetrically distributed around the mean)?