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.

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