PGA Golf Scores At a recent PGA tournament (the Honda Classic at Palm Beach Gardens, Florida) the following scores were posted for eight randomly selected golfers for two consecutive days. At a = 0.10, is there evidence of a difference in mean scores for the two days? Assume the variables are normally or approximately normally distributed and use up for the mean on Thursday minus the mean on Friday. 4 Golfer 1 Friday 2 Thursday 70 69 68 3 69 70 75 4 70 5 66 70 67 6 7 64 65 74 67 8 67 68

PGA Golf Scores At a recent PGA tournament (the Honda Classic at Palm Beach Gardens, Florida) the following scores were posted for eight randomly selected golfers for two consecutive days. At a = 0.10, is there evidence of a difference in mean scores for the two days? Assume the variables are normally or approximately normally distributed and use up for the mean on Thursday minus the mean on Friday. 4 Golfer 1 Friday 2 Thursday 70 69 68 3 69 70 75 4 70 5 66 70 67 6 7 64 65 74 67 8 67 68

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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Question

(i) Find the critical value(s). Round the answer(s) to three decimal places. If there is more than one critical value, separate them with commas.

(ii)Compute the test value. Round the answer to at least three decimal places.

(iii) Make the decision and summarize the results.

**PGA Golf Scores**

At a recent PGA tournament (the Honda Classic at Palm Beach Gardens, Florida), the following scores were posted for eight randomly selected golfers over two consecutive days. At \( \alpha = 0.10 \), is there evidence of a difference in mean scores for the two days? Assume the variables are normally or approximately normally distributed and use \( \mu_D \) for the mean on Thursday minus the mean on Friday.

| Golfer | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
|----------|----|----|----|----|----|----|----|----|
| Thursday | 70 | 69 | 68 | 70 | 66 | 64 | 65 | 67 |
| Friday | 69 | 70 | 75 | 70 | 67 | 74 | 67 | 68 |

- The table represents the scores of eight golfers on Thursday and Friday.
- The objective is to determine if there is a statistically significant difference between the mean scores on Thursday and Friday at a significance level of \( \alpha = 0.10 \).

Use statistical methods to analyze the data, such as a paired t-test, to evaluate the difference in mean scores between the two days.

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