Question

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PROBLEM 2: Sportscasters are interested in whether professional golfers play better in their first round. Consider the following data. Let Bescore in the final round of a professional golf tournament and A=score in the first round of a professional golf tournament. A random sample of 5 finalists in the British Open had the following data: Player B(last round) A (first round) Do the data indicate that the population mean score on the last round is higher than that on the first round? Use a 5% level of significance. DEFINE D=B-A. a. (2 pts.) State the Null and Alternate Hypotheses for this study. b. (2 pts.) Determine the appropriate test statistic for this study. C. (2 pts.) Determine P-value for this study. d. (2 pts.) Compare P-value to a and state your conclusion? e. (2 pts.) Interpret your conclusion in the context of this study.

Answer 1

1356 solution - calculation for sample means and Sop's a ca 5) Canon DJ? TY TY-P f(y-714 173.1.8. 3.24 66 - 1.2 1.44 68 -3.9 10.24 70 2.8 7.84 173/1.8 :| 3.24 164 1-3.2 110.24 71 -0.8 0.04 1 3.8 14.44 13120.2.10.04 165 1-2.2 14.84! | 16.8 336 38.8 X = , = 356 = 71.25 g = = 336 - 67.2 .: shining * [&cx-v3+'(- s? sabox[T6.8 +38.8] S2=6.95 S= 2.636 it. Nur Hypothelis Ho = There is no significar nt between laget Round and filet Round. HO = M = Me 2. Alternative Hypothesin Hi= Mit My 3. Level of significance de 0.05 4. Telt statistic t= 2 Y Sort ning . t= 7h 2672 +52,6365+ 32.399 Tabulated value of t for 10545=2=8 dif at 5% Level of significance is 1.860

calculated value > tabulated value. Hence the Null Hypothesis Ho is Rejected. So we conclude that there is a significant ditter- me between last Round and firent Round P-value :- P(MI=Mq) = P(HC 2.399). =0.5-plH<2.3995 -0.5-0.4916 P = 0.0084
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