A study was done on the effects of thermal pollution on clams. Clams were collected at three sites: an intake site to a plant, a discharge site and a site near Interstate 55. The goal of this problem is to determine if the clams differ in terms of heights at the three sites. The ANOVA table is provided below

Sum of

SourceDFSquaresMean SquareF ValuePr > F

Model20.576070220.288035111.620.2052

Error7112.626783830.17784203

Total7313.20285405

a)(2pts)To test if the mean heights of the clams are equal at the three sites, define the appropriate parameters and stateH0andHafor this problem.

b)(3pts)Read the ANOVA output and verify that theF-test statistic is the ratio of the appropriate mean squares from the ANOVA table. What are the numerator and denominator degrees of freedom for theF-test?

c)(2pts)What is your conclusion using a significance level= 0.05? How about= 0.10?

d)(3pts)Does it make sense to do multiple comparisons looking at differences in pairs of mean heights for this problem? Explain.