5.5 In a comparison of the cleaning action of four detergents, 20 pieces of white cloth were first soiled with India ink. The cloths were then washed under controlled conditions with 5 pieces washed by each of the detergents. Unfortunately, three pieces of cloth were 'lost' in the course of the experiment. Whiteness readings, made on the 17 remaining pieces of cloth, are shown below. Detergent A BC D 77 74 73 76 81 66 78 85 61 58 57 77 76 69 64 69 63 Assuming all whiteness readings to be normally distributed with common variance, test the hypothesis, with a = 0.05, of no difference between the four brands as regards mean whiteness readings after washing. Ho: H₂₁: n₁ SST=86362- SSB = A Test statistic: B 5 3 5 364 198 340 Σ.Σ.Χ. =86362 Decision: Conclusion: 1204² 17 Degrees of freedom: Rejection region: C -(364² 198² 340² 302²) + + + 5 3 5 4 SSW1090.47-216.67=873.80 -=1090.47 D 4 302 Total 17=n 1204 = T 1204² 17 -=216.67 (1) (1) (1) દર ર
5.5 In a comparison of the cleaning action of four detergents, 20 pieces of white cloth were first soiled with India ink. The cloths were then washed under controlled conditions with 5 pieces washed by each of the detergents. Unfortunately, three pieces of cloth were 'lost' in the course of the experiment. Whiteness readings, made on the 17 remaining pieces of cloth, are shown below. Detergent A BC D 77 74 73 76 81 66 78 85 61 58 57 77 76 69 64 69 63 Assuming all whiteness readings to be normally distributed with common variance, test the hypothesis, with a = 0.05, of no difference between the four brands as regards mean whiteness readings after washing. Ho: H₂₁: n₁ SST=86362- SSB = A Test statistic: B 5 3 5 364 198 340 Σ.Σ.Χ. =86362 Decision: Conclusion: 1204² 17 Degrees of freedom: Rejection region: C -(364² 198² 340² 302²) + + + 5 3 5 4 SSW1090.47-216.67=873.80 -=1090.47 D 4 302 Total 17=n 1204 = T 1204² 17 -=216.67 (1) (1) (1) દર ર
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Please assist with 5.5
Transcribed Image Text:5.5
In a comparison of the cleaning action of four detergents, 20 pieces of white cloth were first
soiled with India ink. The cloths were then washed under controlled conditions with 5 pieces
washed by each of the detergents. Unfortunately, three pieces of cloth were 'lost' in the
course of the experiment. Whiteness readings, made on the 17 remaining pieces of cloth,
are shown below. Detergent A BC D 77 74 73 76 81 66 78 85 61 58 57 77 76 69 64 69 63
Assuming all whiteness readings to be normally distributed with common variance, test the
hypothesis, with a = 0.05, of no difference between the four brands as regards mean
whiteness readings after washing.
Ho:
H₁:
n
T
SSB
A
SST=86362-
5
364
-(364
Test statistic:
Decision:
Conclusion:
3
5
198 340
ΣΣx = 86362
B
1204²
17
+
Degrees of freedom:
Rejection region:
C
(364² 198² 340²
+
3
5
=1090.47
SSW1090.47-216.67=873.80
+
D
4
302
302²)-!
4
Total
17=n
1204 = T
1204²
17
= 216.67
(1)
(1)
(1)
ર ર ર
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 1 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman