Scores in the first and fourth (final) rounds for a sample of 20 golfers who competed inPGAtournaments are shown in the following table (Golfweek, February 14, 2009, and February28, XXXXXXXXXXSuppose...

Scores in the first and fourth (final) rounds for a sample of 20 golfers who competed inPGAtournaments are shown in the following table (Golfweek, February 14, 2009, and February28, 2009). Suppose you would like to determine if the mean score for the first roundof a PGA Tour event is significantly different than the mean score for the fourth and finalround. Does the pressure of playing in the final round cause scores to go up? Or does theincreased player concentration cause scores to come down?First Final First FinalPlayer Round Round Player Round RoundMichael Letzig 70 72 Aron Price 72 72Scott Verplank 71 72 Charles Howell 72 70D. A. Points 70 75 Jason Dufner 70 73Jerry Kelly 72 71 Mike Weir 70 77Soren Hansen 70 69 Carl Pettersson 68 70D. J. Trahan 67 67 Bo Van Pelt 68 65Bubba Watson 71 67 Ernie Els 71 70Reteif Goosen 68 75 Cameron Beckman 70 68Jeff Klauk 67 73 Nick Watney 69 68Kenny Perry 70 69 Tommy Armour III 67 71a. Use a  .10 to test for a statistically significantly difference between the populationmeans for first-and fourth-round scores. What is the p-value? What is yourconclusion?b. What is the point estimate of the difference between the two population means? Forwhich round is the population mean score lower?c. What is the margin of error for a 90% confidence interval estimate for the differencebetween the population means? Could this confidence interval have been used to testthe hypothesis in part (a)? Explain.