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 230 yards on average. Suppose a random sample of 110 golfers be chosen so that their mean driving distance is 229.2 yards. The population standard deviation is 44.4. Use a 5% significance level. Calculate the followings for a hypothesis test where H0:μ=230 and H1:μ<23  (a)    The test statistic is    (b)    The P-Value is

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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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 230 yards on average. Suppose a random sample of 110 golfers be chosen so that their mean driving distance is 229.2 yards. The population standard deviation is 44.4. Use a 5% significance level.

Calculate the followings for a hypothesis test where H0:μ=230 and H1:μ<23 

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

 

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