Coefficient of Linear thermal expansion (CTE) is a material property that describes the unit expansion of a material per one degree of temperature increase. The higher it is, the higher does the size of the material becomes under heat. A steel manufacturer claims that their newly-developed alloy has lesser thermal unit expansion than the common steel used in the market. 20 samples of the newly-developed alloy were tested, while 17 samples of common steel were tested under the same conditions. The average coefficient of the newly-developed alloy is 11.13 with a standard deviation of 3.2, while the average coefficient of common steel is 12.98 with a standard deviation of 4.1. Using a 0.05 level of significance, is the CTE of the newly-developed alloy significantly different from the common steel? Assume equal variances.

MATLAB: An Introduction with Applications
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Caselet 1
Coefficient of Linear thermal expansion (CTE) is a material
property that describes the unit expansion of a material per
one degree of temperature increase. The higher it is, the
higher does the size of the material becomes under heat. A
steel manufacturer claims that their newly-developed alloy
has lesser thermal unit expansion than the common steel
used in the market. 20 samples of the newly-developed
alloy were tested, while 17 samples of common steel were
tested under the same conditions. The average coefficient
of the newly-developed alloy is 11.13 with a standard
deviation of 3.2, while the average coefficient of common
steel is 12.98 with a standard deviation of 4.1. Using a 0.05
level of significance, is the CTE of the newly-developed
alloy significantly different from the common steel? Assume
equal variances.
Transcribed Image Text:Caselet 1 Coefficient of Linear thermal expansion (CTE) is a material property that describes the unit expansion of a material per one degree of temperature increase. The higher it is, the higher does the size of the material becomes under heat. A steel manufacturer claims that their newly-developed alloy has lesser thermal unit expansion than the common steel used in the market. 20 samples of the newly-developed alloy were tested, while 17 samples of common steel were tested under the same conditions. The average coefficient of the newly-developed alloy is 11.13 with a standard deviation of 3.2, while the average coefficient of common steel is 12.98 with a standard deviation of 4.1. Using a 0.05 level of significance, is the CTE of the newly-developed alloy significantly different from the common steel? Assume equal variances.
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