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 235 yards on average. Suppose a random sample of 143 golfers be chosen so that their mean driving distance is 232.5 yards. The population standard deviation is 47.6. Use a 5% significance level.

Calculate the followings for a hypothesis test where H0:μ=235 and H1:μ<235 :

(a) The test statistic is:

(b) The P-Value is:

(c) The final conclustion is:

A. There is not sufficient evidence to warrant rejection of the claim that the mean driving distance is equal to 235

B. There is sufficient evidence to warrant rejection of the claim that the mean driving distance is equal to 235

Answer 1