Question

Students in a business statistics course performed a completely randomized design to test the strength of four brands of trash bags. One-pound weights were placed into a bag, one at a time, until the bag broke. A total of 24 bags, 6 for each brand, were used. The data in the accompanying table give the weight (in pounds) required to break the trash bags. Brand 1 Brand 2 Brand 3 Brand 4 31 42 34 22 40 36 38 16 35 32 39 20 42 42 35 20 37 38 32 20 37 37 34 20 H0: µ1 = µ2 = µ3 = µ4 H1: Not all µj are equal (where j = 1, 2, 3, 4) Find the test statistic FSTAT: Question 14 options: 1) 10.08 2) 3.10 3) 442.82 4) All of the other answers 5) All of the other answers (except for “None of the other answers”) 6) 43.95

Answer 1

To test H0: µ1 = µ2 = µ3 = µ4 against H1: Not all µj are equal (where j = 1, 2, 3, 4)

Using Minitab software (Stat -> ANOVA -> One way), we get the following output :

The value of F statistic = 43.95