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 250 yards on average. Suppose a random sample of 184 golfers be chosen so that their mean driving distance is 252.7 yards, with a population standard deviation of 42.

Conduct a hypothesis test where H0:μ=250 and H1:μ>250 by computing the following:
(a)    test statistic    
(b)    p-value p=

HypothesisTests

Answer 1

solution

this is the right tailed test .  

The null and alternative hypothesis is ,

H0 :   = 250

Ha : > 250

Test statistic = z

= ( - ) / / n

= (252.7-250) / 42/ 184

z=0.87

P(z >0.87 ) = 1 - P(z <0.87 ) = 1-0.8078=0.1922

P-value = 0.1922

.