R. Stichler et al. compared two methods of measuring treadwear in a paper. Eleven tires were each measured for treadwear by two methods: one based on weight, and the other on groove wear. The data, in thousands of miles, are in the table. Use the paired ?-test to answer the following: at the 5% significance level, do the data provide sufficient evidence to conclude that, on average, the two measurement methods give different results? a. Fill in the differences column. b. Hypotheses: H0: ________________ Ha: __________________ c. Compute the test statistic: d. Determine the p-value. e. Reject null? f. Interpret your result in a sentence.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question

2. R. Stichler et al. compared two methods of measuring treadwear in a paper. Eleven tires were each measured for treadwear by two methods: one based on weight, and the other on groove wear. The data, in thousands of miles, are in the table. Use the paired ?-test to answer the following: at the 5% significance level, do the data provide sufficient evidence to conclude that, on average, the two measurement methods give different results?

a. Fill in the differences column.

b. Hypotheses: H0: ________________ Ha: __________________

c. Compute the test statistic:

d. Determine the p-value.

e. Reject null?

f. Interpret your result in a sentence.

| Weight Method | Groove Method | Difference |
|----------------|--------------|------------|
| 30.5           | 28.7         |            |
| 30.9           | 25.9         |            |
| 31.9           | 23.3         |            |
| 30.4           | 23.1         |            |
| 27.3           | 23.7         |            |
| 20.4           | 20.9         |            |
| 24.5           | 16.1         |            |
| 20.9           | 19.9         |            |
| 18.9           | 15.2         |            |
| 13.7           | 11.5         |            |
| 11.4           | 11.2         |            |

This table compares two measurement methods: the Weight Method and the Groove Method. The third column labeled "Difference" is intended for calculating the differences between the corresponding values in the first two columns. 

To complete the table, subtract each Groove Method value from its corresponding Weight Method value and fill in the Difference column. This calculation will help analyze the variations between the two methods.
Transcribed Image Text:| Weight Method | Groove Method | Difference | |----------------|--------------|------------| | 30.5 | 28.7 | | | 30.9 | 25.9 | | | 31.9 | 23.3 | | | 30.4 | 23.1 | | | 27.3 | 23.7 | | | 20.4 | 20.9 | | | 24.5 | 16.1 | | | 20.9 | 19.9 | | | 18.9 | 15.2 | | | 13.7 | 11.5 | | | 11.4 | 11.2 | | This table compares two measurement methods: the Weight Method and the Groove Method. The third column labeled "Difference" is intended for calculating the differences between the corresponding values in the first two columns. To complete the table, subtract each Groove Method value from its corresponding Weight Method value and fill in the Difference column. This calculation will help analyze the variations between the two methods.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Proportions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman