In Example 3 from Section 13.1, we rejected the null hypothesis \(H_{0}: \mu_{\text {Cojet }}=\mu_{\text {Silistor }}=\mu_{\text {Cimara }}=\mu_{\text {Ceramic }}\). Use Tukey's test to determine which pairwise means differ using a familywise error rate of \(\alpha=0.05\).

Approach Follow Steps 1 through 6 to determine which pairwise means differ.

Data from Example 3 from Section 13.1

The researcher in Example 1 wants to determine if there is a difference in the mean shear bond strength among the four treatment groups at the \(\alpha=0.05\) level of significance.

Approach We will use StatCrunch, Minitab, Excel, and a TI-84 Plus C graphing calculator to conduct the test. If the \(P\)-value is less than the level of significance, reject the null hypothesis. The steps for performing one-way ANOVA using the TI-83/84 Plus graphing calculators, Minitab, Excel, and StatCrunch are given in the Technology Stepby-Step

Data from Example 1

Prosthodontists specialize in the restoration of oral function, including the use of dental implants, veneers, dentures, and crowns. Since repairing chipped veneer is less costly and time-consuming than complete restoration, a researcher wanted to compare the shear bond strength of different repair kits for repairs of chipped porcelain veneer in fixed prosthodontics. He randomly divided 20 porcelain specimens into four treatment groups. Group 1 specimens used the Cojet system, group 2 used the Silistor system, group 3 used the Cimara system, and group 4 specimens used the Ceramic Repair system. At the conclusion of the study, shear bond strength (in megapascals, \(\mathrm{MPa}\) ) was measured according to ISO 10477. The data in Table 1 are based on the results of the study. Verify that the requirements to perform one-way ANOVA are satisfied.

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Table 6 Cojet Silistor Cimara Ceramic Repair 16.28 17.64 10.64 10.78