In: Statistics and Probability
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.