A measurement template with a historical value of 25.500 mm is measured 27 times and a mean value of 25.301 mm is recorded. What is the percent bias when the tolerance is +/- 0.3?

Answer:

The percent bias is $B = 33.167 \%$

Step-by-step explanation:

From the question we are told that

The historical value is $S = 25.00 \ mm$

The number of times it is measured is n = 7

The mean value is $\= x = \frac{\sum x_i }{n} = 25.301 \ mm$

The tolerance is $t =\pm 0.3 = 0.3 - (-0.3) = 0.6$

Generally the percent bias is mathematically represented as

$B = 100 * \frac{\= x - \tau }{ t}$

=> $B = 100 * \frac{25.301 - 25.5000 }{0.6}$

=> $B = 33.167 \%$

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3 years ago

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katrin2010 [14]

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