A navy recruiting center knows from past experience that the height of recruits is normally distributed with a mean µ, of 180 cm (1 cm ¼ 1=100 mÞ and a standard deviation CJ of 10 cm. The recruiting center wants to test at the 1% level of signi?cance the hypothesis that the average height of this year's recruits is above 180 cm. To do this, the recruiting o?cer takes a random sample of 64 recruits and ?nds that the average height for this sample is 182 cm.
(a) Should the recruiting o?cer accept the hypothesis?
(b) What is the rejection region for the test in centimeters?