Composites are materials that are made by embedding a ber,

Chapter 8, Problem 8.6.8

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Composites are materials that are made by embedding a ber, such as glass or carbon, inside a matrix, such as a metal or a ceramic. Composites are used in civil engineering structures, and their degradation when subjected to weather conditions is an important issue. Inan experiment to investigate the effect of moisture on a certain kind of composite, the weight gains of a collection of 18 samples of composite subjected to water diffusion were obtained. The sample mean was x =0.337%, with a sample standard deviation of s =0.025%. (a) Is it safe to conclude from the results of this experiment that the average weight gain for composites of this kind is smaller than 0.36%? (b) Construct a 99% condence interval that provides an upper bound for the average weight gain for composites of this kind.

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