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 260 yards on average. Suppose a random sample of 152 golfers be chosen so that their mean driving distance is 2545 yards. The population standard deviation is 45.5. Use a 5% significance level.

Calculate the followings for a hypothesis test where: H₀: μ = 260 and H₁: μ = 260.

 a. The test statistic is...........

b. The P-value is..........