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# A cylindrical hole is bored through a steel block, and a ISBN: 9780073401331 38

## Solution for problem 6E Chapter 3.2

Statistics for Engineers and Scientists | 4th Edition

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Problem 6E

A cylindrical hole is bored through a steel block, and a cylindrical piston is machined to fit into the hole. The diameter of the hole is 20.00 ± 0.01 cm, and the diameter of the piston is 19.90 ± 0.02 cm. The clearance is one-half the difference between the diameters. Estimate the clearance and find the uncertainty in the estimate.

Step-by-Step Solution:

Step 1 of 1:

In this question, we are asked to estimate the clearance and find the uncertainty in the estimate.

Let assume is the diameter of hole  = And is the diameter of the piston = The clearance is one-half the difference between diameters.

Hence estimate of clearance =  = =  Hence the estimate of clearance is .

Uncertainty in the estimate:

If are independent measurements and are constants, then

Uncertainty in the measurement ...

Step 2 of 3

Step 3 of 3

##### ISBN: 9780073401331

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