The resilient moduli of 10 samples of a clay mixture are

Chapter 8, Problem 8.1.6

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The resilient moduli of 10 samples of a clay mixture are measured and the sample mean is x =19.50. If an experimenter wishes to use a known value =1.0 for the standard deviation of the resilient modulus measurements based upon prior experience, construct appropriate 90%, 95%, and 99% two-sided condence intervals for the average resilient modulus . Compare the lengths of the condence intervals. Do you think it is plausible that the average resilient modulus is equal to 20.0?

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