Suppose the value of Young's modulus (GPa) was determined for cast plates consisting of certain intermetallic substrates, resulting in the following sample observations. 116.2 115.5 114.7 115.2 115.6 (a) Calculate X (in GPa). GPa Calculate the deviations from the mean. X 116.2 115.5 114.7 115.2 115.6 deviation (b) Use the deviations calculated in part (a) to obtain the sample variance (in GPa²). s² = GP₂2 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

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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
115.5 114.7 115.2 115.6
(a) Calculate x (in GPa).
GPa
Calculate the deviations from the mean.
X
116.2
115.5
114.7
115.2
115.6
deviation
(b) Use the deviations calculated in part (a) to obtain the sample variance (in GPa²).
5²
GPa ²
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 xx
GPa²
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. 116.2 115.5 114.7 115.2 115.6 (a) Calculate x (in GPa). GPa Calculate the deviations from the mean. X 116.2 115.5 114.7 115.2 115.6 deviation (b) Use the deviations calculated in part (a) to obtain the sample variance (in GPa²). 5² GPa ² 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 xx GPa²
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