An engineer measures the diameter of 20 tubes selected at random from a large shipment. The sample mean is 48.5 mm and S-9.4 mm. The manufacturer of the tubes claims that a42.1 mm. Is this claim supported by data set? for 90% probability? where a' is the true or the estimate value

An engineer measures the diameter of 20 tubes selected at random from a large shipment. The sample mean is 48.5 mm and S-9.4 mm. The manufacturer of the tubes claims that a42.1 mm. Is this claim supported by data set? for 90% probability? where a' is the true or the estimate value

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

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.

Question

An engineer measures the diameter of 20 tubes selected at random from a large shipment. The
sample mean is 48.5 mm and
S- 9.4 mm. The manufacturer of the tubes claims that 2 = 42.1 mm. Is this claim supported by
data set? for 90% probability?
where a' is the true or the estimate value
O No
O yes

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