5. Refer to question 3 in this homework. The article \"Drive for Show and Putt f

Question

5. Refer to question 3 in this homework. The article "Drive for Show and Putt for Dough (Chance, Vol 12(4), pg 50-54)" discussed driving distances of PGA players. The mean distance for tee shots on the 1999 men's PGA tour is 272.2 yards with a standard deviation of 8.12 yards. Assuming that the 1999 tee-shot distances are normally distributed answer the following questions: a.Determine the quartiles of the driving distances c. Obtain the third decile (i.e. 30th percentile). d. Interpret your answers in parts a-o

Explanation / Answer

We have given mean=272.2 and SD(X)=8.12

Compute SD(mean) for mean by using SD(mean)=SD(X)/sqrt(n=1999)=8.12/1999=0.004062

compute quartiles and percentiles using following Excel commands

=NORMINV(0.25,272.2,0.004062)

=NORMINV(0.5,272.2,0.004062)

=NORMINV(0.75,272.2,0.004062)

=NORMINV(0.95,272.2,0.004062)

Output is

It can be seen that tee shot distances is well gathered along mean tee shot distance.

also 50% observation are below 272.2. 3rd quartile and 95th percentile is approximately equal.

0.25 Q1 272.1973 0.5 Q2 272.2 0.75 Q3 272.2027 0.95 P95 272.2067

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