A. Describe the purpose of one way analysis of variance. B. Identify the three conditions that must be met to perform analysis of variance tests.

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Chapter1: Combinatorial Analysis
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Answer A & B

QUESTION SIx
A. Describe the purpose of one way analysis of variance.
B. Identify the three conditions that must be met to perform analysis of variance tests.
C. The following table shows the satisfaction ratings recorded by 15 customers for
three different fast food chains on a scale of 1 to 10.
Chain 1
Chain 2
Chain 3
7
8
7
9
7
8
10
9.
8.
(i) State the one way analysis of variance hypothesis and calculate the total sum of
squares.
(ii) Partition the total sum of squares SST, calculated in problem (i) into the sum of
squares within (SSW) and the sum of squares between (SSB).
(iii) Perform a hypothesis test to determine whether there is a difference in the
customer satisfaction ratings of the store at a=0.05 significance level.
Co
3
Transcribed Image Text:QUESTION SIx A. Describe the purpose of one way analysis of variance. B. Identify the three conditions that must be met to perform analysis of variance tests. C. The following table shows the satisfaction ratings recorded by 15 customers for three different fast food chains on a scale of 1 to 10. Chain 1 Chain 2 Chain 3 7 8 7 9 7 8 10 9. 8. (i) State the one way analysis of variance hypothesis and calculate the total sum of squares. (ii) Partition the total sum of squares SST, calculated in problem (i) into the sum of squares within (SSW) and the sum of squares between (SSB). (iii) Perform a hypothesis test to determine whether there is a difference in the customer satisfaction ratings of the store at a=0.05 significance level. Co 3
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