Suppose the value of Young's modulus (GPa) was determined for cast plates consisting of certain intermetallic substrates, resulting in the following sample observations. 116 115.7 114.5 115.2 115.6 (a) Calculatex (in GPa). GP Calculate the deviations from the mean. (Round your answer to two decimal places.) (Round your answer to two decimal places) 115.6 deviation 116.8 115.7 114.5 (b) Use the deviations calculated in part (a) to obtain the sample variance (in GPa). (Round your answer to three decimal places) 2² GP² Use the deviations calculated in part (a) to obtain the sample standard deviation (in ora). (Round your answer to three decimal places) GP 115.2 (c) subtract 100 from each observation to obtain a sample of transformed values. Now calculate the sample variance (in GPa) of these transformed values, (Round your answer to three decimal places. GPU² Compare it to a 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).

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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.
116A 115.7 114.5 115.2 115.6
(a) Calculatex (in GPa).
GPa
Calculate the deviations from the mean. (Round your answer to two decimal places.) (Round your answer to two decimal places.)
116.8
deviation
115.7
114.5
115.2
(b) Use the deviations calculated in part (a) to obtain the sample variance (in GPa). (Round your answer to three decimal places.)
2²-
GP²
115.6
Use the deviations calculated in part (a) to obtain the sample standard deviation (in GPa). (Round your answer to three decimal places)
GPa
-
Compare it to a for the original data.
O The variance in part (d) is greater than the variance in part (b).
(c) subtract 100 from each observation to obtain a sample of transformed values. Now calculate the sample variance (in GPa) of these transformed values. (Round your answer to three decimal places)
GPU²
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).
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. 116A 115.7 114.5 115.2 115.6 (a) Calculatex (in GPa). GPa Calculate the deviations from the mean. (Round your answer to two decimal places.) (Round your answer to two decimal places.) 116.8 deviation 115.7 114.5 115.2 (b) Use the deviations calculated in part (a) to obtain the sample variance (in GPa). (Round your answer to three decimal places.) 2²- GP² 115.6 Use the deviations calculated in part (a) to obtain the sample standard deviation (in GPa). (Round your answer to three decimal places) GPa - Compare it to a for the original data. O The variance in part (d) is greater than the variance in part (b). (c) subtract 100 from each observation to obtain a sample of transformed values. Now calculate the sample variance (in GPa) of these transformed values. (Round your answer to three decimal places) GPU² 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).
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