Golf-course designers have become concerned that old courses are becoming obsole

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 163 golfers be chosen so that their mean driving distance is 236.1 yards. The population standard deviation is 41.7. Use a 5% significance level. Calculate the followings for a hypothesis test where H0:=240 and H1:<240 :

(a) The test statistic is _______________

(b) The P-Value is _________________

The final conclustion is:

A. There is sufficient evidence to warrant rejection of the claim that the mean driving distance is equal to 240

B. There is not sufficient evidence to warrant rejection of the claim that the mean driving distance is equal to 240

Explanation / Answer

Solutiona:

H0:=240 and

H1:>240

its right tail z test

Z=sample mean-po mean/pop stddev/sqrt(n)

z=236.1 -240 /41.7/sqrt(163)

z=-1.194

The P-Value is 0.1162

p>0.05

Fail to reject null hypothesis.

Accept Null hypothesis.

Related Questions

Navigate

• Browse (All)
• Browse G
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.