The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 49 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.3 pounds, what is the probability that the sample mean will be each of the following? Appendix A Statistical Tables

a. More than 59 pounds
b. More than 57 pounds
c. Between 55 and 58 pounds
d. Less than 54 pounds
e. Less than 47 pounds

(Round the values of z to 2 decimal places. Round your answers to 4 decimal places.)

a. enter the probability that the sample mean will be more than 59 pounds

b. enter the probability that the sample mean will be more than 57 pounds

c. enter the probability that the sample mean will be between 55 and 58 pounds

d. enter the probability that the sample mean will be less than 54 pounds

e. enter the probability that the sample mean will be less than 47 pounds