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AleksandrR [38]
3 years ago
6

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?
Mathematics
1 answer:
QveST [7]3 years ago
3 0

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 \%  

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