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Concrete Strength An engineer wants to know if the mean

Chapter 1, Problem 25AYU

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QUESTION:

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:

(a) State the null and alternative hypotheses.

(b) Explain why we cannot use one-way ANOVA to test these hypotheses.

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QUESTION:

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:

(a) State the null and alternative hypotheses.

(b) Explain why we cannot use one-way ANOVA to test these hypotheses.

ANSWER:

Step 1 of 3

Given,

Three types of concrete mixture i.e, 67-0-301, 67-0-400, 67-0-353 and their height and diameter.

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