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 235 yards on average. Suppose a random sample of 159 golfers be chosen so that their mean driving distance is 236 yards, with a standard deviation of 45.1.

Conduct a hypothesis test where ?0:?=235 and ?1:?>235 by computing the following: p-value=

Answer 1

Solution :

= 235

=236

=45.1

n = 159

this is the right tailed test .  

The null and alternative hypothesis is ,

H0 :   = 235

Ha : > 235

Test statistic = z

= ( - ) / / n

= (236 - 235) / 45.1/ 159

= 0.84

P(z >0.84 ) = 1 - P(z < 0.84 ) = 1-0.7995=0.2005

P-value =0.2005