The antibiotic gentamicin sulphate is often blended with acrylic bone cement to help prevent infection following joint replacement surgery. The article ??Incorporation of Large Amounts of Gentamicin Sulphate Into Acrylic Bone Cement: Effect on Handling and Mechanical Properties, Antibiotic Release, and Biofilm Formation?? (N. Dunne, P. McAfee, et al., Journal of Engineering in Medicine, 2008:355??365) presents a study of the effect of the amount of antibiotic added on various properties of the cement. Following are measurements of the setting time of the cement, for six levels of antibiotic amount, and three replications per level. The measurements are consistent with means and standard deviations presented in the article.

a. Construct an ANOVA table. You may give a range for the P-value.

b. Can you conclude that there are differences among the mean setting times?

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Antibiotic per 40 g Cement Setting Time (min) 12.7 14.1 13.2 13.5 14.5 14.6 0.5 g 1g 12.7 13.4 13.2 12.7 13.6 14.1 13.4 13.5 14.3 3g 48 14.5 13.5 14.9