Question

Scores in the first and fourth (final) rounds for sample of 20 golfers who competed in golf tournaments are shown in the following table. First Final Player Round Golfer 1 Golfer 2 Golfer 3 Golfer 4 Golfer 5 Golfer 6 Golfer 7 Golfer 8 Golfer 9 Golfer 10 Round Player Round Round 70 72 Golfer 11 Golfer 12 Golfer 13 Golfer 14 Golfer 15 Golfer 166 Golfer 17 71 Golfer 18 Golfer 19 Golfer 20 67 72 72 72 70 70 72 70 75 70 69 71 Suppose you would like to determine if the mean score for the first round of a golf tournament 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 causc scores to come down? (a) Use α-0.10 to test for a statistically significantly difference between the population means for first-and fourth-round scores. Stete the null and alternative hypotheses. (Use dmean score first round-mean score fourth round) Celculate the value of the test statistic. (Round your answer to three decimal places.) 1.304x Celculate the p-value. Round your enswer to four decimel places.) p-value- 0.0804X

Answer 1

Answer:

Test statistic = -1.539

P value = 0.1404

$t= \frac { \mu_d}{ s_d/ \sqrt n}$

Paired t Test
Data
Hypothesized Mean Difference	0
Level of significance	0.1
Intermediate Calculations
Sample Size	20
DBar	-1.0500
Degrees of Freedom	19
SD	3.0517
Standard Error	0.6824
t Test Statistic	-1.5387
Two-Tail Test
Lower Critical Value	-1.7291
Upper Critical Value	1.7291
p-Value	0.1404
Do not reject the null hypothesis