Students in a business statistics course performed a completely randomized desig
ID: 3174556 • Letter: S
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. Complete (a) through (d) below.
Find the test statistic.
Brand 1 Brand 2 Brand 3 Brand 4 34 39 33 25 40 34 40 17 33 38 40 19 31 43 34 18 36 34 32 19 37 37 35 20Explanation / Answer
here null hypothesis: mean weight of breakage is equal for all four brands
alternate hypothesis: they are different for at least 2 brands
applying ANOVA on above data:
from above F test statistic =39.394
SUMMARY Groups Count Sum Average Variance Brand 1 6 211 35.16667 10.16667 Brand 2 6 225 37.5 11.5 Brand 3 6 214 35.66667 12.26667 Brand 4 6 118 19.66667 7.866667 ANOVA Source of Variation SS df MS F P-value Between Groups 1235 3 411.6667 39.39394 1.39E-08 Within Groups 209 20 10.45 Total 1444 23