The value of Young’s modulus (GPa) was determined forcast plates consisting of certain intermetallic substrates,resulting in the following sample observations (“Strengthand Modulus of a Molybdenum-Coated Ti-25Al-10Nb-3U-1Mo Intermetallic,” J. of Materials Engr.and Performance, 1997: 46–50):116.4 115.9 114.6 115.2 115.8a. Calculate x and the deviations from the mean.b. Use the deviations calculated in part (a) to obtain thesample variance and the sample standard deviation.c. Calculate s2 by using the computational formula forthe numerator Sxx.d. Subtract 100 from each observation to obtain a sampleof transformed values. Now calculate the samplevariance of these transformed values, and compare itto s2 for the original data.

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The value of Young’s modulus (GPa) was determined for
cast plates consisting of certain intermetallic substrates,
resulting in the following sample observations (“Strength
and Modulus of a Molybdenum-Coated Ti-25Al-
10Nb-3U-1Mo Intermetallic,” J. of Materials Engr.
and Performance, 1997: 46–50):
116.4 115.9 114.6 115.2 115.8
a. Calculate x and the deviations from the mean.
b. Use the deviations calculated in part (a) to obtain the
sample variance and the sample standard deviation.
c. Calculate s2 by using the computational formula for
the numerator Sxx.
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.

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