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 0.34 (b) Use the deviations calculated in part (a) to obtain the sample variance (in GPA²). s2 = 0.3495 |GPa? Use the deviations calculated in part (a) to obtain the sample standard deviation (in GPa). (Round your answer to three decimal places.) s = 0.600 GPa (c) Calculate s² (in GPA²) by using the computational formula for the numerator Sy 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 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 0.34 (b) Use the deviations calculated in part (a) to obtain the sample variance (in GPA²). s2 = 0.3495 |GPa? Use the deviations calculated in part (a) to obtain the sample standard deviation (in GPa). (Round your answer to three decimal places.) s = 0.600 GPa (c) Calculate s² (in GPA²) by using the computational formula for the numerator Sy 0.353 | GPa?
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Chapter1: Combinatorial Analysis
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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
devi
tion
66
0.16
-0.84
-0.3
0.34
(b) Use the deviations calculated in part (a) to obtain the sample variance (in GPA²).
s2:
0.3495
| GPa?
Use the deviations calculated in part (a) to obtain the sample standard deviation (in GPa). (Round your answer to three decimal places.)
s = 0.600
GPa
(c) Calculate s (in GPa) by using the computational formula for the numerator S,
XX'
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).
The variance in part (d) is smaller than the variance in part (b).
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Hi! Thank you for the question, as per the honor code, we are allowed to answer three sub-parts at a time so we are answering the first three as you have not mentioned which of these you are looking for. Please re-submit the question separately for the remaining sub-parts.
Given:
| Sr. No. | x |
| 1 | 116.2 |
| 2 | 115.7 |
| 3 | 114.7 |
| 4 | 115.2 |
| 5 | 115.9 |
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