Question: The manager at Air Express feels that the weights of packages shipped recently are less than those in the past.  records show that in the past, packages have had a mean weight of 36.7 lbs  and a std dev of 14.2  lb.  A random sample of last month's shipping records yielded a mean weight of 32.1 lb for 64 packages.  Is this sufficient evidence to reject the null hypothesis in favor of the manager's claim?  alpha = .01

1. State the null and alternate hypotheses.
   b.  Calculate the z test statistic
   c.  Find the critical values and the critical regions
   d.  State the conclusion
   e.  state the p-value for this test
   
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