C1 C2 C3 C4 Blend 1 Blend 2 Blend 3 Blend 4 1 17.0 14.9 13.0 15.0 13.9 3.2 16.4 17.8 3 10.4 1.9 13.3 22.9 4 19.3 7.3 6.5 17.4 5 16.1 9.6 11.9 16.9 11.7 14.5 16.8 18.4
A chemical engineer wants to compare the hardness of four blends of paint. Six samples of each paint blend were applied to a piece of metal, which was then cured. Then each sample was measured for hardness. The worksheet contains the results for each blend of paint (Blend 1, Blend 2, Blend 3, and Blend 4).
1. Write the null and alternative hypotheses that you would use for a one-way ANOVA test comparing the mean hardness of the four blends of paint.
2. Do a one-way ANOVA test in Minitab. Copy and paste the table that contains the test statistic and the P-value below.
3. If you use a significance level of α = 0.05, should you reject or fail to reject the null hypothesis? Explain how you know.
4. According to your response in #3, do you have evidence that at least one blend of paint has a different hardness?
5. According to the Tukey-Kramer method, which paints have significantly different hardness levels? Use a significance level of α = 0.05.
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