Suppose the value of Young's modulus (GPa) was determined for cast plates consisting of certain intermetallic substrates, resulting in the following sample observa 116.2 115.7 114.7 115.2 115.9 (a) Calculate x (in GPa). 115.54 GPa Calculate the deviations from the mean. 116.2 115.7 114.7 115.2 115.9 deviation 0.66 0.16 -0.84 -0.34 0.36 (b) Use the deviations calculated in part (a) to obtain the sample variance (in GPA2). s2 = 0.353 GPa?
Suppose the value of Young's modulus (GPa) was determined for cast plates consisting of certain intermetallic substrates, resulting in the following sample observa 116.2 115.7 114.7 115.2 115.9 (a) Calculate x (in GPa). 115.54 GPa Calculate the deviations from the mean. 116.2 115.7 114.7 115.2 115.9 deviation 0.66 0.16 -0.84 -0.34 0.36 (b) Use the deviations calculated in part (a) to obtain the sample variance (in GPA2). s2 = 0.353 GPa?
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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
115.7
114.7
115.2
115.9
(a) Calculate x (in GPa).
115.54
GPa
Calculate the deviations from the mean.
116.2
115.7
114.7
115.2
115.9
deviation
0.66
0.16
-0.84
-0.34
0.36
(b) Use the deviations calculated in part (a) to obtain the sample variance (in GPa2).
s2 = 0.353
GPa?
Use the deviations calculated in part (a) to obtain the sample standard deviation (in GPa). (Round your answer to three decimal places.)
S = 0.594
GPa
(c) Calculate s (in GPa) by using the computational formula for the numerator Sy.
2
0.353
GPa?
(d) Subtract 100 from each observation to obtain a sample of transformed values. Now calculate the sample variance (in GPa?) of these transformed values.
GPa?
Compare it to s for the original data.
The variance in part (d) is greater than the variance in part (b).
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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F86bfc21f-7304-4d6a-8ae3-de059a5180e7%2F72d32413-2ee3-4f54-845b-24a477d5a88b%2Fcq4jvvf_processed.png&w=3840&q=75)
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
115.7
114.7
115.2
115.9
(a) Calculate x (in GPa).
115.54
GPa
Calculate the deviations from the mean.
116.2
115.7
114.7
115.2
115.9
deviation
0.66
0.16
-0.84
-0.34
0.36
(b) Use the deviations calculated in part (a) to obtain the sample variance (in GPa2).
s2 = 0.353
GPa?
Use the deviations calculated in part (a) to obtain the sample standard deviation (in GPa). (Round your answer to three decimal places.)
S = 0.594
GPa
(c) Calculate s (in GPa) by using the computational formula for the numerator Sy.
2
0.353
GPa?
(d) Subtract 100 from each observation to obtain a sample of transformed values. Now calculate the sample variance (in GPa?) of these transformed values.
GPa?
Compare it to s for the original data.
The variance in part (d) is greater than the variance in part (b).
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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