Probability and Statistics for Engineering and the Sciences
Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Chapter 7, Problem 48SE

The article “Distributions of Compressive Strength Obtained from Various Diameter Cores” (ACI Materials J., 2012: 597–606) described a study in which compressive strengths were determined for concrete specimens of various types, core diameters, and length-to-diameter ratios. For one particular type, diameter, and l/d ratio, the 18 tested specimens resulted in a sample mean compressive strength of 64.41 MPa and a sample standard deviation of 10.32 MPa. Normality of the compressive strength distribution was judged to be quite plausible.

  1. a. Calculate a confidence interval with confidence level 98% for the true average compressive strength under these circumstances.
  2. b. Calculate a 98% lower prediction bound for the compressive strength of a single future specimen tested under the given circumstances. [Hint: t.02,17 = 2.224.]
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Chapter 7 Solutions

Probability and Statistics for Engineering and the Sciences

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