large labora types of laboratory wants to determine whether there are differences in the average readings given by these devices. The lab uses 24 soil samples having known pH in the study and randomly assigns six of the samples to each device. The soil samples are tested, and the response recorded for each sample is the difference between the pH reading of the device and the known pH of the soil. These values, along with summary statistics, are given in the following table. Device A B C D 1 -.307 -.176 .137 -.042 2 -.294 .125 -.063 .690 3 Sample .079 -.013 .240 .201 4 .019 .082 -.050 .166 5 -.136 .091 .318 .219 6 -.324 .459 .154 .407 Based on your intuition, is there evidence to indicate any difference among the mean differences in pH readings for the four devices? Run an analysis of variance to confirm or reject your conclusion Use a = .05.

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
Question
**8.6** A large laboratory has four types of devices used to determine the pH of soil samples. The laboratory wants to determine whether there are differences in the average readings given by these devices. The lab uses 24 soil samples having known pH in the study and randomly assigns six of the samples to each device. The soil samples are tested, and the response recorded for each sample is the difference between the pH reading of the device and the known pH of the soil. These values, along with summary statistics, are given in the following table.

| Device | Sample 1 | Sample 2 | Sample 3 | Sample 4 | Sample 5 | Sample 6 |
|--------|----------|----------|----------|----------|----------|----------|
| A      | -0.307   | -0.294   | 0.079    | 0.019    | -0.136   | -0.324   |
| B      | -0.176   | 0.125    | -0.013   | 0.082    | 0.091    | 0.459    |
| C      | 0.137    | -0.063   | 0.240    | -0.050   | 0.318    | 0.154    |
| D      | -0.042   | 0.690    | 0.201    | 0.166    | 0.219    | 0.407    |

**Analysis**  
Based on your intuition, is there evidence to indicate any difference among the mean differences in pH readings for the four devices? Run an analysis of variance to confirm or reject your conclusion. Use α = 0.05.
Transcribed Image Text:**8.6** A large laboratory has four types of devices used to determine the pH of soil samples. The laboratory wants to determine whether there are differences in the average readings given by these devices. The lab uses 24 soil samples having known pH in the study and randomly assigns six of the samples to each device. The soil samples are tested, and the response recorded for each sample is the difference between the pH reading of the device and the known pH of the soil. These values, along with summary statistics, are given in the following table. | Device | Sample 1 | Sample 2 | Sample 3 | Sample 4 | Sample 5 | Sample 6 | |--------|----------|----------|----------|----------|----------|----------| | A | -0.307 | -0.294 | 0.079 | 0.019 | -0.136 | -0.324 | | B | -0.176 | 0.125 | -0.013 | 0.082 | 0.091 | 0.459 | | C | 0.137 | -0.063 | 0.240 | -0.050 | 0.318 | 0.154 | | D | -0.042 | 0.690 | 0.201 | 0.166 | 0.219 | 0.407 | **Analysis** Based on your intuition, is there evidence to indicate any difference among the mean differences in pH readings for the four devices? Run an analysis of variance to confirm or reject your conclusion. Use α = 0.05.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 5 images

Blurred answer
Similar 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