(b) What is the point estimate of the difference between the two population means? (Use mean score first round - mean score fourth round.) For which round is the population mean score lower? O The mean of the fourth round scores was lower than the mean of the first round scores. O The mean of the first round scores was lower than the mean of the fourth round scores. (c) What is the margin of error for a 90% confidence interval estimate for the difference between the population means? (Round your answer to two decimal places.) Could this confidence interval have been used to test the hypothesis in part (a)? Explain. O Yes. One could check to see if the 90% confidence interval includes a difference of zero. If the interval does not contain zero, the difference is not statistically significant. O Yes. One could check to see if the 90% confidence interval includes a difference of one. If the interval does not contain one, the difference is not statistically significant. O Yes. One could check to see if the 90% confidence interval includes a difference of zero. If the interval contains zero, the difference is not statistically significant. O Yes. One could check to see if the 90% confidence interval includes a difference of one. If the interval contains one, the difference is not statistically significant. O No. One can not use a confidence interval to test hypothesis in part (a) because hypothesis tests and confidence intervals are two different things.
(b) What is the point estimate of the difference between the two population means? (Use mean score first round - mean score fourth round.) For which round is the population mean score lower? O The mean of the fourth round scores was lower than the mean of the first round scores. O The mean of the first round scores was lower than the mean of the fourth round scores. (c) What is the margin of error for a 90% confidence interval estimate for the difference between the population means? (Round your answer to two decimal places.) Could this confidence interval have been used to test the hypothesis in part (a)? Explain. O Yes. One could check to see if the 90% confidence interval includes a difference of zero. If the interval does not contain zero, the difference is not statistically significant. O Yes. One could check to see if the 90% confidence interval includes a difference of one. If the interval does not contain one, the difference is not statistically significant. O Yes. One could check to see if the 90% confidence interval includes a difference of zero. If the interval contains zero, the difference is not statistically significant. O Yes. One could check to see if the 90% confidence interval includes a difference of one. If the interval contains one, the difference is not statistically significant. O No. One can not use a confidence interval to test hypothesis in part (a) because hypothesis tests and confidence intervals are two different things.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:(b) What is the point estimate of the difference between the two population means? (Use mean score first round mean score fourth round.)
For which round is the population mean score lower?
The mean of the fourth round scores was lower than the mean of the first round scores.
The mean of the first round scores was lower than the mean of the fourth round scores.
(c) What is the margin of error for a 90% confidence interval estimate for the difference between the population means? (Round your answer to two decimal places.)
Could this confidence interval have been used to test the hypothesis in part (a)? Explain.
Yes. One could check to see if the 90% confidence interval includes a difference of zero. If the interval does not contain zero, the difference is not statistically significant.
Yes. One could check to see if the 90% confidence interval includes a difference of one. If the interval does not contain one, the difference is not statistically significant.
Yes. One could check to see if the 90% confidence interval includes a difference of zero. If the interval contains zero, the difference is not statistically significant.
Yes. One could check to see if the 90% confidence interval includes a difference of one. If the interval contains one, the difference is not statistically significant.
No. One can not use a confidence interval to test hypothesis in part (a) because hypothesis tests and confidence intervals are two different things.
Transcribed Image Text: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.
Player
Michael Letzig
Scott Verplank
D. A. Points
Jerry Kelly
Soren Hansen
D. J. Trahan
Bubba Watson
Reteif Goosen
Jeff Klauk
Kenny Perry
First Final
Round Round
70
71
70
72
70
67
71
68
67
70
72
72
75
71
69
67
67
75
73
69
Player
Aron Price
Charles Howell
Jason Dufner
Mike Weir
Carl Pettersson
Bo Van Pelt
Ernie Els
Cameron Beckman
Nick Watney
Tommy Armour III
First
Round
72
72
70
70
68
68
71
70
69
67
Final
Round
72
70 - 73
77
70
65
70
68
68
71
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