The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 51 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 56 and 57 pounds

d.Less than 55 pounds

e.Less than 50 pounds