Golf-course designers have become concerned that old courses are becoming obsole

Question

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 245245 yards on average. Suppose a random sample of 144144 golfers be chosen so that their mean driving distance is 240.7240.7 yards. The population standard deviation is 43.943.9. Calculate the followings for a hypothesis test where H0:=245H0:=245 and Ha:<245Ha:<245 : (a) test statistic (b) p-value p=

Explanation / Answer

Test statistic Z= (xbar-245)/(sigma/sqrt(n))

=(240.72407-245)/(sqrt(43.9439/sqrt(144144))

=-12.5684

P-value=P(Z<-12.5684)=0.000

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