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 111 golfers be chosen so that their mean driving distance is 250.2 yards. The population standard deviation is 42.4. Use a 5% significance level. Calculate the followings for a hypothesis test where Ho : u = 255 and H : µ < 255: (a) The test statistic is (b) The P-Value is

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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 111 golfers be chosen so that their mean driving
distance is 250.2 yards. The population standard deviation is 42.4. Use a 5% significance level.
Calculate the followings for a hypothesis test where Ho : u = 255 and H : µ < 255:
(a) The test statistic is
(b) The P-Value is
Transcribed Image Text: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 111 golfers be chosen so that their mean driving distance is 250.2 yards. The population standard deviation is 42.4. Use a 5% significance level. Calculate the followings for a hypothesis test where Ho : u = 255 and H : µ < 255: (a) The test statistic is (b) The P-Value is
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