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 240 yards on average. Suppose a random sample of 173 golfers be chosen so that their mean driving distance is 239.8 yards. The population standard deviation is 49.7. Use a 5% significance level. Calculate the followings for a hypothesis test where H_0: mu = 240 and H_1: mu

Explanation / Answer

The statistical software output for this problem is:

One sample Z summary hypothesis test:
: Mean of population
H0 : = 240
HA : < 240
Standard deviation = 49.7

Hypothesis test results:

Hence,

a) -0.05293

b) 0.4789

Conclusion: Option A

Mean n Sample Mean Std. Err. Z-Stat P-value 173 239.8 3.778621 -0.052929362 0.4789

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