41. A civil engineer wishes to measure the compressive strength of two different types of concrete. A

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41. A civil engineer wishes to measure the compressive strength of two different types of concrete. A random sample of 10 specimens of the first type yielded the following data (in psi)

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whereas a sample of 10 specimens of the second yielded the data

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If we assume that the samples are normal with a common variance, determine

(a) a 95 percent two-sided confidence interval for μ1 − μ2, the difference in means;

(b) a 95 percent one-sided upper confidence interval for μ1 − μ2;

(c) a 95 percent one-sided lower confidence interval for μ1 − μ2.

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