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The tensile strength of silicone rubber is thought to be a

Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye ISBN: 9780321629111 32

Solution for problem 1.6 Chapter 1

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Problem 1.6

The tensile strength of silicone rubber is thought to be a function of curing temperature. A study was carried out in which samples of 12 specimens of the rubber were prepared using curing temperatures of 20C and 45C. The data below show the tensile strength values in megapascals.20C: 2.07 2.14 2.22 2.03 2.21 2.03 2.05 2.18 2.09 2.14 2.11 2.02 45C: 2.52 2.15 2.49 2.03 2.37 2.05 1.99 2.42 2.08 2.42 2.29 2.01(a) Show a dot plot of the data with both low and high temperature tensile strength values.(b) Compute sample mean tensile strength for both samples. (c) Does it appear as if curing temperature has an inuence on tensile strength, based on the plot? Comment further. (d) Does anything else appear to be inuenced by an increase in curing temperature? Explain.

Step-by-Step Solution:
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Histogram  Divide data o Equal width o No overlapping  Bar chart o Skew­ pulls direction of mean o Symmetric Numeric Summary Center, spread, and location  Greek letters for population  Roman letters for statistics 1. Mean  µ= population mean  x bar= sanple mean o ∑ Xi all over n= sample mean k=0 2. Mean vs. Median a. Mean used the most b. N is small when outliers occur c. Use median, mean is too affected Spread 1. Range (Max­Min) a. Sensitive to outliers 2. IQR a. Not sensitive to outliers Variability­ Xi­X bar

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Chapter 1, Problem 1.6 is Solved
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Textbook: Probability and Statistics for Engineers and the Scientists
Edition: 9
Author: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye
ISBN: 9780321629111

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The tensile strength of silicone rubber is thought to be a