Madje can measure lengths to within 200 mu Steve Gibbs @The Saylor

Question 40 / 45: Madje can measure lengths to within 200 $$\mu$$m (standard deviation) using a custom ruler and magnifier. She measures the lengths of the base of a rectangle and the height of a rectangle to be 13.25 and 11.15 cm. What are the area and estimated standard error of that area?

A 147.7 +/- 4.0 cm²

B 147.74 +/- 3.46 cm²

C 147.74 +/- 0.40 cm²

D 14.74 +/- 0.04 cm²

E 147.74 +/- 0.04 cm²

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Explanation:

Area = Length x Width = 147.74 cm ²

Error = ( (0.2/13.25)² + (0.2/11.15)²) ^1/2 147.74 = 3.46

An easy way to check your answer for the error calculation is to calculate the product (13.25-0.2) (11.15-0.2) or (13.25+0.2)(11.15-0.2). This quantity should be just outside the error estimate calculated above.

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https://www.jobilize.com/measurement-experimentation-lab-mcq-quiz-by-dr-steve-gibbs

Measurement & Experimentation Laboratory ME301

Author:

Dr.Steve GibbsProfessor

The Saylor Foundation

USA

Access: Public Instant Grading

Attribution: Dr. Steve Gibbs. Measurement & Experimentation Laboratory. The Saylor Academy 2014, http://www.saylor.org/courses/me301/

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