Determine whether there is a significant difference between the two samples at the 95% confidence level.
Theory and Design for Mechanical Measurements
Measurement is a term that refers to analyzing a manufactured component regarding the degree of accuracy for dimensions, tolerances, geometric profile, roundness, flatness, smoothness, etc. Measurement always involves comparing the manufactured component or the prototype with a standard specimen whose dimensions and other parameters are assumed to be perfect and do not undergo changes with respect to time.Precisely in mechanical engineering the branch that deals with the application of scientific principles for measurements is known as metrology. The domain of metrology in general deals with various measurements like mechanical, chemical, thermodynamic, physical, and biological measurements. In mechanical engineering, the measurements are limited to mechanical specific such as length, mass, surface profile, flatness, roundness, viscosity, heat transfer, etc.
Basic principles of engineering metrology
Metrology is described as the science of measurement, precision, and accuracy. In other words, it is a method of measurement based on units and predefined standards.
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![The influence of the size of the test specimen on the tensile strength of an epoxy resin
was determined by casting seven samples of each size and testing them accordingly. The
experimental data are as follows:
Specimen Strengths (kN/m²)
Sample of Small
Specimens
3475
4326
2262
7415
3418
4404
3788
Sample of Large
Specimens
1813
3145
4140
6867
3842
3984
3053](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52282ef7-9628-4f3c-a0da-696ef43c4b5a%2Fa5efa7e6-e492-4fcc-a6c6-76a2d35fa150%2Fvvfubh_processed.png&w=3840&q=75)
![Determine whether there is a significant difference between the two samples at the
95% confidence level.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52282ef7-9628-4f3c-a0da-696ef43c4b5a%2Fa5efa7e6-e492-4fcc-a6c6-76a2d35fa150%2F1f672m_processed.png&w=3840&q=75)
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