1. The American Auto Association reports the mean price per gallon of regular gasoline is $3.45 with a population standard deviation of $0.30. Assume a random sample of 18 gasoline stations is selected and their mean cost for regular gasoline is computed.
a. What is the probability that the sample mean is between $2.98 and $3.12?
b. What is the probability that the difference between the sample mean and the population mean is less than 0.01?
c. What is the likelihood the sample mean is greater than $3.60?