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

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.