Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th
Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th
9th Edition
ISBN: 9798214004020
Author: Jay L. Devore
Publisher: Cengage Learning US
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Chapter 7.3, Problem 38E

Ultra high performance concrete (UHPC) is a relatively new construction material that is characterized by strong adhesive properties with other materials. The article “Adhesive Power of Ultra High Performance Concrete from a Thermodynamic Point of View” (J. of Materials in Civil Engr., 2012: 1050–1058) described an investigation of the intermolecular forces for UHPC connected to various substrates. The following work of adhesion measurements (in mJ/m2) for UHPC specimens adhered to steel appeared in the article:

Chapter 7.3, Problem 38E, Ultra high performance concrete (UHPC) is a relatively new construction material that is

  1. a. Is it plausible that the given sample observations were selected from a normal distribution?
  2. b. Calculate a two-sided 95% confidence interval for the true average work of adhesion for UHPC adhered to steel. Does the interval suggest that 107 is a plausible value for the true average work of adhesion for UHPC adhered to steel? What about 110?
  3. c. Predict the resulting work of adhesion value resulting from a single future replication of the experiment by calculating a 95% prediction interval, and compare the width of this interval to the width of the CI from (b).
  4. d. Calculate an interval for which you can have a high degree of confidence that at least 95% of all UHPC specimens adhered to steel will have work of adhesion values between the limits of the interval.
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Chapter 7 Solutions

Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th

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