Find the test statistic. FSTAT = F = _________________________________________ A

Question

Find the test statistic.

FSTAT =

F =

_________________________________________

At the 0.05 level of significance, is there evidence of a difference in the variation in strength among the four brands of trash bags?

FSTAT=

At the 0.05 level of significance, is there evidence of a difference in the mean strength of the four
brands of trash bags? EQuestion Help 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. Click on the icon to view the data table. E Click on the icon to view a partial table of critical values of F Click on the icon to view a partial table of critical values of the Studentized Range, Q. a. At the 0.05 level of significance, is there evidence of a difference in the mean strength of the four brands of trash bags? Determine the hypotheses. Choose the correct answer below. MB. H Ho: Ha 1 H2 H1: Not all are equal H1: Not all Hi are equal where j 1,2,...,6) where j 1,2,... 4) Ho: H D. H H2 H6 H1: Ha H1: 14H2 Find the test statistic. STAT Round to two decimal places as needed Weight (in pounds required to break the trash bags Brand Brand Brand Brand 32 38 34 22 40 35 33 15 30 35 38 17 40 39 34 19 36 31 33 20 37 35 36 22 Print Done

Explanation / Answer

a) option B is correct

Running ANOVA on Above

FSTAT = 43.1218

F = 3.0984

Yes there is evidence of a difference in the variation in strength among the four brands of trash bags as F stat is higher then F critical

ANOVA Source of Variation SS df MS F P-value F crit Between Groups 1180.458 3 393.4861 43.12177 6.42E-09 3.098391 Within Groups 182.5 20 9.125 Total 1362.958 23

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