Suppose the value of Young's modulus (GPa) was determined for cast plates consisting of certain intermetallic substrates, resulting in the following sample observations. 116.6 115.7 114.5 115.4 115.5...


Suppose the value of Young's modulus (GPa) was determined for cast plates consisting of certain intermetallic substrates, resulting in the following sample observations.











116.6115.7114.5115.4115.5

(a)


Calculate x (in GPa).

? GPa



Calculate the deviations from the mean. (View Pic Below)



(b) Use the deviations calculated in part (a) to obtain the sample variance (in GPa2).



s2
= ? 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
s
2 (in GPa2) by using the computational formula for the numeratorSxx
.

? GPa2




(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



Compare it tos
2 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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Jun 09, 2022
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