Are older men shorter than younger men ? According to the National Health Statistics Reports, the mean height for U.S. men is 69.4 inches. In a sample of 300 men between the ages of 60 and 69, the mean height is 69.0 inches. Public health officials want to determine whether the mean height μ for older men is less than the mean height of all U.S. men. Assume that population standard deviation for men's height is 2.0 inches. Use α=0.05 to test the claim.

Before you start the 5 steps below, can you identify the claim in symbolic form and write it down on scratch paper?

1.)   Identify the null and alternative hypotheses.  Enter =, <, >, or "not equal" for ≠ 

H0: μ    

H1: μ       2.)  Find the test statistic:  Test Statistic =       (Round to two decimal places)   3.)  Find the p-value:  p-value =         (Round to four decimal places)   4.)   State the decision about the null hypothesis.   (Type Reject or Fail to Reject in the answer box.)

             

5.)  Conclusion:  There  sufficient evidence to conclude the mean height for older men is less than the mean height of all adult men.  (Type is or isn't into the answer box)