Question

Students in a business statistics course performed a single factor analysis to test the strength of three brands of trash bags. One-pound weights were placed into a bag one at a time until the bag broke. A total of 30 bags, 10 for each brand, were used. An Analysis of Variance was performed on the data to determine if the average breaking strengths were the same for the three brands. The value of MSW in the resulting ANOVA table was 12.11.

Brand Sample Size Average

GLAD 10 36.30

HEFTY 10 34.90

TUFFSTUFF 10 19.30

Given that the null hypothesis of equal breaking strengths was rejected, determine where the differences are.

Answer #1

here Glad is brand 1, Hefty is brand 2 and the other is considered brand 3 with population mean values mu1, mu2 and mu3.

For further query, comment.

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Glad =...

Researchers tested the strength of three brands of trash bags.
One pound weights were placed into a bag, one at a time, until the
bag broke. The completed ANOVA table is below. The F-test revealed
significant evidence that not all bags have equal strength.
Source DF SS MS F
Treatment 2 486 243 16.2
error 27 405 15
total 29 891
The following indicates the average amount of weight placed in
each bag brand before it broke. Perform the LSD...

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