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 113 golfers be chosen so that their mean driving distance is 237.6 yards. The population standard deviation is 41.8. Use a 5% significance level.

Calculate the followings for a hypothesis test where ?0:?=240 and ?1:?<240 :

(a)    The test statistic is     
(b)    The P-Value is

Answer 1

the given data are:-

sample mean () = 237.6

population sd () = 41.8

sample size (n) = 113

hypothesis:-

a).the test statistic is :-

b).p value is :-

[ using standard normal table]

decision:-

p value = 0.2709 > 0.05 (alpha)

so, we fail to reject the null hypothesis.

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