Question

Scores in the first and final rounds for a sample of 20 golfers who competed in tournaments are contained in the table below. Answer the following questions.

Player	First Round	Final Round
Michael Letzig	70	66
Scott Verplank	67	77
D.A. Points	71	65
Jerry Kelly	73	72
Soren Hansen	73	67
D.J. Trahan	77	69
Bubba Watson	77	72
Reteif Goosen	67	68
Jeff Klauk	66	65
Kenny Perry	76	68
Aron Price	68	66
Charles Howell	72	69
Jason Dufner	74	67
Mike Weir	72	73
Carl Pettersson	74	68
Bo Van Pelt	77	69
Ernie Els	77	69
Cameron Beckman	69	74
Nick Watney	69	65
Tommy Armour III	75	68

Suppose you would like to determine if the mean score for the first round of an event is significantly different than the mean score for the 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?

a. Use alpha=.10 to test for a statistically significantly difference between the population means for first- and final-round scores. What is the p-value?

p-value is  (to 4 decimals)

b. What is the point estimate of the difference between the two population means?

(to 2 decimals)

c. What is the margin of error for a 90% confidence interval estimate for the difference between the population means?

(to 2 decimals)

Answer 1

The statistical software output for this problem is:

Hence,

a) p - Value = 0.0056

b) Point estimate = 3.35

c) Margin of error = (5.203 - 1.497)/2 = 1.85