Design and Analysis of Experiment using the statistical technique one-way Anova. Use Minitab software to solve the problem. Problem: A chemical engineer wants to compare the hardness of four blends of paint. Six samples of each paint blend were applied to a piece of metal. The pieces of metal were cured. Then each sample was measured for hardness. Test for the equality of means and assess the differences between pairs of means using one-way Anova and Fisher's LSD mu

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

Design and Analysis of Experiment using the statistical technique one-way Anova.

Use Minitab software to solve the problem.

Problem: A chemical engineer wants to compare the hardness of four blends of paint. Six samples of each paint blend were applied to a piece of metal. The pieces of metal were cured. Then each sample was measured for hardness. Test for the equality of means and assess the differences between pairs of means using one-way Anova and Fisher's LSD multiple comparison of means. Interpret the results and draw conclusions. 

For the data of the problem, see the picture.

Give some data analysis, conclusion, and some reflections too.

C1-T
C2
C3
C4
Paint
Hardness Temp Operator
1
Blend 2
14.9
30.3
1
Blend 3
13.0
30.9
Blend 4
15.0
30.5
2
4
Blend 1
17.0
29.4
3
Blend 1
13.9
30.0
3
Blend 3
16.4
29.6
1
7
Blend 1
10.4
29.6
2
8
Blend 2
3.2
29.9
2
Blend 2
1.9
28.9
10
Blend 2
7.3
28.6
1
11
Blend 4
17.8
30.8
3
12
Blend 2
9.6
30.8
13 Blend 4
22.9
28.9
1
14 Blend 4
17.4
30.6
15 Blend 3
13.3
29.8
16
Blend 1
19.3
30.0
1
17
Blend 1
16.1
29.9
18
Blend 3
6.5
30.6
2
19
Blend 1
11.7
30.1
20
Blend 4
16.9
30.7
3
21 Blend 4
18.4
29.9
1
22 Blend 3
11.9
29.5
23
Blend 2
14.5
29.9
1
24
Blend 3
16.8
29.9
2.
Transcribed Image Text:C1-T C2 C3 C4 Paint Hardness Temp Operator 1 Blend 2 14.9 30.3 1 Blend 3 13.0 30.9 Blend 4 15.0 30.5 2 4 Blend 1 17.0 29.4 3 Blend 1 13.9 30.0 3 Blend 3 16.4 29.6 1 7 Blend 1 10.4 29.6 2 8 Blend 2 3.2 29.9 2 Blend 2 1.9 28.9 10 Blend 2 7.3 28.6 1 11 Blend 4 17.8 30.8 3 12 Blend 2 9.6 30.8 13 Blend 4 22.9 28.9 1 14 Blend 4 17.4 30.6 15 Blend 3 13.3 29.8 16 Blend 1 19.3 30.0 1 17 Blend 1 16.1 29.9 18 Blend 3 6.5 30.6 2 19 Blend 1 11.7 30.1 20 Blend 4 16.9 30.7 3 21 Blend 4 18.4 29.9 1 22 Blend 3 11.9 29.5 23 Blend 2 14.5 29.9 1 24 Blend 3 16.8 29.9 2.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 4 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