Suppose the value of Young\'s modulus (GPa) was determined for cast plates consi

Question

Suppose the value of Young's modulus (GPa) was determined for cast plates consisting of certain intermetallic substrates, resulting in the following sample observations: 116.8 115.6 114.7 115.1 115.7 (a) Calculate x^bar. _______ GPa Calculate the deviations from the mean. (Enter your answers to two decimal places.) x 116.8 115.6 114.7 115.1 115.7 deviation _____ _____ _____ _____ _____ (b) Use the deviations calculated in part (a) to obtain the sample variance and the sample standard deviation. (Round your answers to three decimal places.) s^2 = _______ GPa^2 s = _______ GPa (c) Calculate s^2 by using the computational formula for the numerator S_xx. _______ GPa^2 (d) Subtract 100 from each observation to obtain a sample of transformed values. Now calculate the sample variance of these transformed values. (Round your to three decimal places.) _______ GPa^2 Compare it to s^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).

Explanation / Answer

a)xbar = 115.58

b)

s^2 = 0.627

s = 0.7918 = 0.792

c)

s^2 = S_xx/(n-1) = 2.508/(5-1) = 0.627

d) sample variance will remain same = 0.627

option b) is correct equal

Please rate

x 116.8 115.6 114.7 115.1 115.7 deviation 1.22 0.02 0.88 0.48 0.12

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