Suppose the value of Young's modulus (GPa) was determined for cast plates consisting of certain intermetallic substrates, resulting in the following sample observations. 116.6 115.7 114.5 115.4 115.5 (a) Calculate x (in GPa). ? GPa Calculate the deviations from the mean. (View Pic Below) (b) Use the deviations calculated in part (a) to obtain the sample variance (in GPa2). s2 = ? GPa2 Use the deviations calculated in part (a) to obtain the sample standard deviation (in GPa). (Round your answer to three decimal places.) s = ? GPa (c) Calculate s2 (in GPa2) by using the computational formula for the numerator Sxx. ? GPa2
Suppose the value of Young's modulus (GPa) was determined for cast plates consisting of certain intermetallic substrates, resulting in the following sample observations. 116.6 115.7 114.5 115.4 115.5 (a) Calculate x (in GPa). ? GPa Calculate the deviations from the mean. (View Pic Below) (b) Use the deviations calculated in part (a) to obtain the sample variance (in GPa2). s2 = ? GPa2 Use the deviations calculated in part (a) to obtain the sample standard deviation (in GPa). (Round your answer to three decimal places.) s = ? GPa (c) Calculate s2 (in GPa2) by using the computational formula for the numerator Sxx. ? GPa2
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Suppose the value of Young's modulus (GPa) was determined for cast plates consisting of certain intermetallic substrates, resulting in the following sample observations.
116.6 | 115.7 | 114.5 | 115.4 | 115.5 |
(a)
Calculate x (in GPa).
? GPa
Calculate the deviations from the mean. (View Pic Below)
(b) Use the deviations calculated in part (a) to obtain the sample variance (in GPa2).
s2 = ? GPa2
Use the deviations calculated in part (a) to obtain the sample standard deviation (in GPa). (Round your answer to three decimal places.)
s = ? GPa
(c) Calculate s2 (in GPa2) by using the computational formula for the numerator Sxx.
? GPa2
(d) Subtract 100 from each observation to obtain a sample of transformed values. Now calculate the sample variance (in GPa2) of these transformed values.
? GPa2
Compare it to s2 for the original data.
The variance in part (d) is greater than the variance in part (b).
The variance in part (d) is equal to the variance in part (b).
The variance in part (d) is smaller than the variance in part (b).
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