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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. 116.6 115.7 114.5 115.2 115.6 (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