Twelve runners are asked to run a 10-kilometer race on each of two consecutive weeks. In one of the races, the runners wear one brand of shoe and in the other, a different brand. The brand of shoe they wear in each race is determined at random. All runners are timed and are asked to run their best in each race. The results (in minutes) are given below. Runner Brand 1 Brand 2 1 31.23 32.02 2 29.33 28.98 3 30.50 30.63 4 32.20 32.67 5 33.08 32.95 6 31.52 31.53 7 30.68 30.83 8 31.05 31.10 9 33.00 33.12 10 29.67 29.50 11 30.55 30.57 12 32.12 32.20 Use the sign test for matched pairs to determine if there is evidence that times using Brand 1 tend to be faster than times using Brand 2. What is the (approximate) value of the P-value? a. 0.073 b. 0.042 c. 0.05 d. 0.019
Twelve runners are asked to run a 10-kilometer race on each of two consecutive weeks. In one of the races, the runners wear one brand of shoe and in the other, a different brand. The brand of shoe they wear in each race is determined at random. All runners are timed and are asked to run their best in each race. The results (in minutes) are given below. Runner Brand 1 Brand 2 1 31.23 32.02 2 29.33 28.98 3 30.50 30.63 4 32.20 32.67 5 33.08 32.95 6 31.52 31.53 7 30.68 30.83 8 31.05 31.10 9 33.00 33.12 10 29.67 29.50 11 30.55 30.57 12 32.12 32.20 Use the sign test for matched pairs to determine if there is evidence that times using Brand 1 tend to be faster than times using Brand 2. What is the (approximate) value of the P-value? a. 0.073 b. 0.042 c. 0.05 d. 0.019
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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Twelve runners are asked to run a 10-kilometer race on each of two consecutive weeks. In one of the races, the runners wear one brand of shoe and in the other, a different brand. The brand of shoe they wear in each race is determined at random. All runners are timed and are asked to run their best in each race. The results (in minutes) are given below.
|
Runner |
Brand 1 |
Brand 2 |
|
1 |
31.23 |
32.02 |
|
2 |
29.33 |
28.98 |
|
3 |
30.50 |
30.63 |
|
4 |
32.20 |
32.67 |
|
5 |
33.08 |
32.95 |
|
6 |
31.52 |
31.53 |
|
7 |
30.68 |
30.83 |
|
8 |
31.05 |
31.10 |
|
9 |
33.00 |
33.12 |
|
10 |
29.67 |
29.50 |
|
11 |
30.55 |
30.57 |
|
12 |
32.12 |
32.20 |
Use the sign test for matched pairs to determine if there is evidence that times using Brand 1 tend to be faster than times using Brand 2. What is the (approximate) value of the P-value?
| a. |
0.073
|
|
| b. |
0.042
|
|
| c. |
0.05
|
|
| d. |
0.019
|
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