Question

A measurement template with a historcal value of 25.500 is measured 27 times and a mean value of 25.301 is recorded. What is the percent bias when the tolerence is -0.3?

Answer 1

Complete Question

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

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

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

=>  $B = 33.167 \%$