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 [tex]B = 33.167 \%[/tex]
Step-by-step explanation:
From the question we are told that
The historical value is [tex]S = 25.00 \ mm[/tex]
The number of times it is measured is n = 7
The mean value is [tex]\= x = \frac{\sum x_i }{n} = 25.301 \ mm[/tex]
The tolerance is [tex]t =\pm 0.3 = 0.3 - (-0.3) = 0.6[/tex]
Generally the percent bias is mathematically represented as
[tex]B = 100 * \frac{\= x - \tau }{ t}[/tex]
=> [tex]B = 100 * \frac{25.301 - 25.5000 }{0.6}[/tex]
=> [tex]B = 33.167 \%[/tex]
