The value of Young's modulus (GPa) was determined for cast plates consisting of certain intermetallic substrates, resulting in the following sample observations.
115.8 116.5 116.1 115.5 114.8
(a) Calculate x and the deviations from the mean. (Enter your answers to two decimal places.)
x 115.8 116.5 116.1 115.5 114.8
deviation
(b) Use the deviations calculated in part (a) to obtain the sample variance and the sample standard deviation. (Enter your answers to three decimal places.)
s2 =
s =
(c) Calculate s2 by using the computational formula for the numerator Sxx. (Enter your answer to three decimal places.)
(d) Subtract 100 from each observation to obtain a sample of transformed values. Now calculate the sample variance of these transformed values, and compare it to s2 for the original data. (Enter your answer to three decimal places.)
Compare.
(select one)
The variance in part (d) is smaller 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 greater than the variance in part (b)