Height and age: Are older men shorter than younger men? According to a national report, the mean height for U.S. men is

69.4

inches. In a sample of

269

men between the ages of

60

and

69

, the mean height was

=x68.8

inches. Public health officials want to determine whether the mean height

for older men is less than the mean height of all adult men. Assume the population standard deviation to be

=3.37

. Use the

=0.01

level of significance and the critical value method.

(a) State the appropriate null and alternate hypotheses.

(b) Compute the value of the test statistic.

(c) State a conclusion. Use the =0.01 level of significance.