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Q1. Scores in the first and fourth (final) rounds for a sample of 20 golfers who...

Q1. Scores in the first and fourth (final) rounds for a sample of 20 golfers who competed in a Golf Competition held on Guam are shown in the following table. Suppose you would like to determine if the mean score for the first round of the 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?

Player 1st R. 4th R. Player 1st R. 4th R.
Benjamin Berg 70 72 Vicente Bordallo 72 72
Nathaniel Brocka 72 72 Robert Blaz 72 70
Donovan Eugene 70 76 Antonio Flores 71 73
Joe Muniz 72 71 Richard Leon Guerrero 70 77
Sean Robson 68 69 Joseph Camacho 68 70
Ray Babauta 67 67 Ricardo Gutierrez 68 65
Timothy Baz 72 67 Tony Flores 71 72
Douglas Gumataotao 68 75 Frank Cruz 70 68
Peter Howard 67 74 Trevor Duenas 70 68
Curtis Pangelinan 70 69 Paul Calvo 66 71

(a) Use a = 0.10 to test for a statistically significantly difference between the population means for first- and fourth-round scores. What is the p-value? What is your conclusion?

(b) What is the point estimate of the difference between the two population means? For which round is the population mean score lower?

Math   Statistics-And-Probability   
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