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 119 men between the ages of 60 and 69 , the mean height was ₓ⁻=69.3 inches. Public health officials want to determine whether the mean height μ for older men is less than the mean height of all adult men. Assume the population standard deviation to be σ=2.58 . Use the α=0.05 level of significance and the P-value method