Golf-course designers are concerned that old courses are becoming obsolete becau

Question

Golf-course designers are concerned that old courses are becoming obsolete because new equipment enables golfers to hit the ball so far: In fact, golf courses are "shrinking." One designer believes that new courses need to be built with the expectation that players will be able to hit the ball more than 250 yards (with their drivers), on average. Suppose a sample of 135 golfers is tested, and their mean driving distance is 256.3 yards, with a standard deviation of 43.4 yards. Using the p-value, make the appropriate test of hypothesis.

Explanation / Answer

Set Up Hypothesis
Null, H0: U=250
Alternate,hit the ball more than 250 H1: U>250
Test Statistic
Population Mean(U)=250
Sample X(Mean)=256.3
Standard Deviation(S.D)=43.4
Number (n)=135
we use Test Statistic (t) = x-U/(s.d/Sqrt(n))
to =256.3-250/(43.4/Sqrt(135))
to =1.687
| to | =1.687
Critical Value
The Value of |t | with n-1 = 134 d.f is 1.656
We got |to| =1.687 & | t | =1.656
Make Decision
Hence Value of | to | > | t | and Here we Reject Ho
P-Value :Right Tail - Ha : ( P > 1.6866 ) = 0.047
Hence Value of P0.05 > 0.047,Here we Reject Ho

AT 0.05 LOS we have evidence that players will hit the ball more than 250

Related Questions

Navigate

• Browse (All)
• Browse G
• Subjects

---

---

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