Suppose the value of Young's modulus (GPa) was determined for cast plates consisting of certain intermetallic substrates, resulting in the following sample observations. 116.8 115.5 114.9 115.4 115.9 Calculate x (in GPa). GPa Calculate the deviations from the mean. 116.8 115.5 114.9 115.4 115.9 deviation Use the deviations calculated in part (a) to obtain the sample variance (in GPA2). s2 = GPa? Use the deviations calculated in part (a) to obtain the sample standard deviation (in GPa). (Round your answer to three decimal places.) S = GPa Calculate s? (in GPa?) by using the computational formula for the numerator S, GP22 Subtract 100 from each observation to obtain a sample of transformed values. Now calculate the sample variance (in GPA2) of these transformed values. GP22 Compare it to s? 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).

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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.
116.8
115.5
114.9
115.4
115.9
Calculate x (in GPa).
GPa
Calculate the deviations from the mean.
116.8
115.5
114.9
115.4
115.9
deviation
Use the deviations calculated in part (a) to obtain the sample variance (in GPA2).
s2 =
GPa?
Use the deviations calculated in part (a) to obtain the sample standard deviation (in GPa). (Round your answer to three decimal places.)
S =
GPa
Calculate s? (in GPa?) by using the computational formula for the numerator S
GP22
Subtract 100 from each observation to obtain a sample of transformed values. Now calculate the sample variance (in GPA2) of these transformed values.
GP22
Compare it to s? 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).
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. 116.8 115.5 114.9 115.4 115.9 Calculate x (in GPa). GPa Calculate the deviations from the mean. 116.8 115.5 114.9 115.4 115.9 deviation Use the deviations calculated in part (a) to obtain the sample variance (in GPA2). s2 = GPa? Use the deviations calculated in part (a) to obtain the sample standard deviation (in GPa). (Round your answer to three decimal places.) S = GPa Calculate s? (in GPa?) by using the computational formula for the numerator S GP22 Subtract 100 from each observation to obtain a sample of transformed values. Now calculate the sample variance (in GPA2) of these transformed values. GP22 Compare it to s? 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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