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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. 116.8 115.5 114.9 115.2 115.9 (a) Calculate x (in GPa). GPa Calculate the deviations from the mean. x deviation 116.8 115.5 114.9 115.2 115.9 (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 S GPa² xx' (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).

Suppose the value of Young's modulus (GPa) was determined for cast plates consisting of certain intermetallic substrates, resulting in the following sample observations. 116.8 115.5 114.9 115.2 115.9 (a) Calculate x (in GPa). GPa Calculate the deviations from the mean. x deviation 116.8 115.5 114.9 115.2 115.9 (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 S GPa² xx' (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).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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. 116.8 115.5 114.9 115.2 115.9 (a) Calculate x (in GPa). GPa Calculate the deviations from the mean. x deviation 116.8 115.5 114.9 115.2 115.9 (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 S GPa² xx' (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).
Transcribed Image Text:Suppose the value of Young's modulus (GPa) was determined for cast plates consisting of certain intermetallic substrates, resulting in the following sample observations. 116.8 115.5 114.9 115.2 115.9 (a) Calculate x (in GPa). GPa Calculate the deviations from the mean. x deviation 116.8 115.5 114.9 115.2 115.9 (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 S GPa² xx' (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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