Suppose the value of Young's modulus (GPa) was determined for cast plates consisting of certain intermetallic substrates

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Suppose The Value Of Young S Modulus Gpa Was Determined For Cast Plates Consisting Of Certain Intermetallic Substrates 1 (36.19 KiB) Viewed 30 times

Suppose the value of Young's modulus (GPa) was determined for cast plates consisting of certain intermetallic substrates, resulting in the following sample observations. 116.6 115.7 114.5 115.2 115.6 (a) Calculate X (in GPa). GPa Calculate the deviations from the mean. X deviation 116.6 115.7 114.5 115.2 (b) Use the deviations calculated in part (a) to obtain the sample variance (in GPa²). 5² = 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 GP₂² 115.6 Compare it to s² for the original data. O The variance in part (d) is greater than the variance in part (b). O The variance in part (d) is equal to the variance in part (b). O The variance in part (d) is smaller than the variance in part (b). (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