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 \%`

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 = (\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 * (\= x - \tau )/( t)`

=>
`B = 100 * (25.301 - 25.5000 )/(0.6)`

=>
`B = 33.167 \%`