Golf-course designers have become concerned that old courses are becoming obsolete since new technology has given golfers the ability to hit the ball so far. Designers, therefore, have proposed that new golf courses need to be built expecting that the average golfer can hit the ball more than 255 yards on average. Suppose a random sample of 161 golfers be chosen so that their mean driving distance is 253.3 yards. The population standard deviation is 48.3 . Use a 5% significance level. Calculate the followings for a hypothesis test where
H0:μ=255 and H1 : u < 255
(a) The test statistic is
(b) The P-Value is