The effects of detergent brand name (factor A) and the temperature of the water (factor B) on the brightness of washed fabrics are being studied. Four brand names and two temperature levels are used, and six observations for each combination are examined. The following ANOVA table is produced.

a. Can you conclude that there is interaction between the detergent brand name and the temperature of the water at the 5% significance level?
b. Are you able to conduct tests based on the main effects? If yes, conduct these tests at the 5% significance level. If no, explain.

Transcribed Image Text:

Source of Variation Sample 75 Columns 130.25 3 43.42 36.69 1.45E-11 2.839 Interaction 8.67 3 2.89 2.44 0.0783 2.839 Within MS F p-value Fcrit 8.92E-10 4.084 1 75 63.38 4733 40 1.18 Total261.25 47