Concrete Strength An engineer wants to know if the mean strengths of three different

Chapter 13, Problem 25

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Concrete Strength An engineer wants to know if the mean strengths of three different concrete mix designs differ significantly. He randomly selects 9 cylinders that measure 6 inches in diameter and 12 inches in height in which mixture 67-0-301 is poured, 9 cylinders of mixture 67-0-400, and 9 cylinders of mixture 67-0-353. After 28 days, he measures the strength (in pounds per square inch) of the cylinders. The results are presented in the following table: Mixture 67-0-301 Mixture 67-0-400 Mixture 67-0-353 3960 4090 4070 4120 4150 3820 4040 3830 4330 4640 3820 3750 3780 3940 4620 4190 4010 3990 3890 4080 3730 3850 4150 4320 3990 4890 4190 (a) State the null and alternative hypotheses. (b) Explain why we cannot use one-way ANOVA to test these hypotheses.

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