Suppose the value of Young's modulus (GPa) was determined for cast plates consisting of certain intermetallic substrates, resulting in the following sample observations.116.6115.7114.5115.4115.5(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). Cakulate the dedaliens from the meanA16.6114.5115.4deviation a the the devi t the ple vre inthe the detotldt. hesm evanseer to the delcesmlevn nGh thee me vneha hei tO the e

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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

? 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).