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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. 116.2 115.7 114.7 115.2 115.9 (a) Calculate x (in GPa). 115.54 GPa Calculate the deviations from the mean. 116.2 115.7 114.7 115.2 115.9 deviation 0.66 0.16 -0.84 -0.34 0.34 (b) Use the deviations calculated in part (a) to obtain the sample variance (in GPA²). s2 = 0.3495 |GPa? Use the deviations calculated in part (a) to obtain the sample standard deviation (in GPa). (Round your answer to three decimal places.) s = 0.600 GPa (c) Calculate s² (in GPA²) by using the computational formula for the numerator Sy 0.353 | GPa?

Suppose the value of Young's modulus (GPa) was determined for cast plates consisting of certain intermetallic substrates, resulting in the following sample observations. 116.2 115.7 114.7 115.2 115.9 (a) Calculate x (in GPa). 115.54 GPa Calculate the deviations from the mean. 116.2 115.7 114.7 115.2 115.9 deviation 0.66 0.16 -0.84 -0.34 0.34 (b) Use the deviations calculated in part (a) to obtain the sample variance (in GPA²). s2 = 0.3495 |GPa? Use the deviations calculated in part (a) to obtain the sample standard deviation (in GPa). (Round your answer to three decimal places.) s = 0.600 GPa (c) Calculate s² (in GPA²) by using the computational formula for the numerator Sy 0.353 | GPa?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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. 116.2 115.7 114.7 115.2 115.9 (a) Calculate x (in GPa). 115.54 GPa Calculate the deviations from the mean. 116.2 115.7 114.7 115.2 115.9 devi tion 66 0.16 -0.84 -0.3 0.34 (b) Use the deviations calculated in part (a) to obtain the sample variance (in GPA²). s2: 0.3495 | GPa? Use the deviations calculated in part (a) to obtain the sample standard deviation (in GPa). (Round your answer to three decimal places.) s = 0.600 GPa (c) Calculate s (in GPa) by using the computational formula for the numerator S, XX' 2 0.353 GPa? (d) Subtract 100 from each observation to obtain a sample of transformed values. Now calculate the sample variance (in GPa) of these transformed values. GPa? Compare it to s 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. 116.2 115.7 114.7 115.2 115.9 (a) Calculate x (in GPa). 115.54 GPa Calculate the deviations from the mean. 116.2 115.7 114.7 115.2 115.9 devi tion 66 0.16 -0.84 -0.3 0.34 (b) Use the deviations calculated in part (a) to obtain the sample variance (in GPA²). s2: 0.3495 | GPa? Use the deviations calculated in part (a) to obtain the sample standard deviation (in GPa). (Round your answer to three decimal places.) s = 0.600 GPa (c) Calculate s (in GPa) by using the computational formula for the numerator S, XX' 2 0.353 GPa? (d) Subtract 100 from each observation to obtain a sample of transformed values. Now calculate the sample variance (in GPa) of these transformed values. GPa? Compare it to s 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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Hi! Thank you for the question, as per the honor code, we are allowed to answer three sub-parts at a time so we are answering the first three as you have not mentioned which of these you are looking for. Please re-submit the question separately for the remaining sub-parts.

Given:

Sr. No. x
1 116.2
2 115.7
3 114.7
4 115.2
5 115.9
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