Homework Help is Here – Start Your Trial Now!
Math
Statistics
Suppose the value of Young's modulus (GPa) was determined for cast plates consisting of certain intermetallic substrates, resulting in the following sample observations. 116.8 115.5 114.9 115.2 115.9 (a) Calculate x (in GPa). GPa Calculate the deviations from the mean. x deviation 116.8 115.5 114.9 115.2 115.9 (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 s² (in GPa²) by using the computational formula for the numerator S GPa² xx' (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 to s² 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).

Suppose the value of Young's modulus (GPa) was determined for cast plates consisting of certain intermetallic substrates, resulting in the following sample observations. 116.8 115.5 114.9 115.2 115.9 (a) Calculate x (in GPa). GPa Calculate the deviations from the mean. x deviation 116.8 115.5 114.9 115.2 115.9 (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 s² (in GPa²) by using the computational formula for the numerator S GPa² xx' (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 to s² 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).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
See similar textbooks
icon
Related questions
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. 116.8 115.5 114.9 115.2 115.9 (a) Calculate x (in GPa). GPa Calculate the deviations from the mean. x deviation 116.8 115.5 114.9 115.2 115.9 (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 s² (in GPa²) by using the computational formula for the numerator S GPa² xx' (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 to s² 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).
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. 116.8 115.5 114.9 115.2 115.9 (a) Calculate x (in GPa). GPa Calculate the deviations from the mean. x deviation 116.8 115.5 114.9 115.2 115.9 (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 s² (in GPa²) by using the computational formula for the numerator S GPa² xx' (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 to s² 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).
Expert Solution
steps

Step by step

Solved in 2 steps with 5 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
SEE MORE TEXTBOOKS