To compare the life expectancies of three different brands of winter tires, fourteen tires of each brand were randomly selected and were subjected to standard wear-testing procedures. Information regarding the three brands is shown below. The life expectancy is measured in mileage (in 1000 miles) Use a= .05 Anova: Single Factor www SUMMARY Groups Count Sum Average Variance Brand A 14 504 36 38.9231 Brand B 14 609 43.5 25.8077 Brand C 14 546 39 40 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 399 199.5 5.7147 0.0067 3.2381 Within Groups 1361.5 39 34.9103 Total 1760.5 41 Use analysis of variance table to test for a significant difference among the mean mileage of the three tire brands. Formulate the hypotheses for this problem. b. Using either the p-value approach or the critical value approach, test the hypotheses. C. State your conclusion. a.
To compare the life expectancies of three different brands of winter tires, fourteen tires of each brand were randomly selected and were subjected to standard wear-testing procedures. Information regarding the three brands is shown below. The life expectancy is measured in mileage (in 1000 miles) Use a= .05 Anova: Single Factor www SUMMARY Groups Count Sum Average Variance Brand A 14 504 36 38.9231 Brand B 14 609 43.5 25.8077 Brand C 14 546 39 40 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 399 199.5 5.7147 0.0067 3.2381 Within Groups 1361.5 39 34.9103 Total 1760.5 41 Use analysis of variance table to test for a significant difference among the mean mileage of the three tire brands. Formulate the hypotheses for this problem. b. Using either the p-value approach or the critical value approach, test the hypotheses. C. State your conclusion. a.
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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Transcribed Image Text:To compare the life expectancies of three different brands of winter tires, fourteen tires of each
brand were randomly selected and were subjected to standard wear-testing procedures.
Information regarding the three brands is shown below. The life expectancy is measured in
mileage (in 1000 miles) Use a = .05
Anova: Single Factor
www w
SUMMARY
Groups
Count
Sum
Average
Variance
Brand A
14
504
36
38.9231
Brand B
14
609
43.5
25.8077
Brand C
14
546
39
40
ANOVA
Source of Variation
SS
df
MS
F
P-value
F crit
Between Groups
399
199.5
5.7147
0.0067
3.2381
Within Groups
1361.5
39
34.9103
Total
1760.5
41
Use analysis of variance table to test for a significant difference among the mean
mileage of the three tire brands. Formulate the hypotheses for this problem.
b. Using either the p-value approach or the critical value approach, test the hypotheses.
C. State your conclusion.
a.
Transcribed Image Text:SUMMARY
Groups
Brand A
Count
Sum
Average Variance
14
504
36
38.9231
Brand B
14
609
43.5
25.8077
Brand C
14
546
39
40
ANOVA
Source of Variation
SS
df
MS
P-value
Fcrit
Between Groups
399
199.5
5.7147
0.0067
3.2381
Within Groups
1361.5
39
34.9103
Total
1760.5
41
Use analysis of variance table to test for a significant difference among the mean
mileage of the three tire brands. Formulate the hypotheses for this problem.
b. Using either the p-value approach or the critical value approach, test the hypotheses.
State your conclusion.
a.
с.
d. Use Fisher's LSD procedure to determine which means are different. (test all pairs)
For your answer include the details of your calculations including df, critical t, the details of
your LSD calculation and your conclusion.
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