2. You have 12 golfers who come to you for lessons and you are trying to determi

Question

2. You have 12 golfers who come to you for lessons and you are trying to determine if standardizing equipment for your students will improve their scores. You had each of the 12 golfers play 5 rounds of golf with their non-standardized equipment and each player only reported the average of their 5 rounds. The average of all the scores was 79 strokes. You gave them all the same set of clubs and the same brand golf balls and after some time to adjust to the new clubs, you had the same 12 players play 5 rounds of golf with their standardized equipment and each player only reported the average of their 5 rounds. The average 76.5 and the standard deviation was 2.3 strokes. At the 1% statistical significance level, did standardizing equipment improve the players scores? Step 1: What is the Null and Alternative Hypothesis? Step 2: What is the statistical level of significance? Step 3: What is the test statistic? Step 4: What is the decision criteria ? Step 5: Based on the sample, what is your decision?

Explanation / Answer

null hypothesis: mean =79

alternate hypothesis: mean <79

2)level of significance =0.01

std error =std deviation/(n)1/2 =0.664

3)hence test stat t=(X-mean)/std error =(76.5-79)/0.664 =-3.7653

4)decision critiria : reject Ho: if t>2.7181

5) here as test stat is >2.7181, we reject null hypothesis and conclude that  standardizing equipment improve the players scores

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