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.
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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 76E
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Transcribed Image Text: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:What is the statistic/type of hypothesis testing to be used in this problem?
Two Sample Z Test
Two Sample Pooled Variance t Test
O Two Sample Separate Variance t Test
Correlation
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