“If a method produces a random error for each measurement of 4%, but a percent error of equal to or less than 1% is required for this value

Question

“If a method produces a random error for each measurement of 4%, but a percent error of equal to or less than 1% is required for this value for later analysis, what is the minimum number of measurements that must be collected and averaged? You will need to solve equation 1 for the value of n that meets the criterion of a 1% error in the average.”

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Eloise 1 month 2021-10-13T21:53:59+00:00 1 Answer 0 views 0

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    2021-10-13T21:55:40+00:00

    Answer:

    N = 16 measurements

    Step-by-step explanation:

    A method produces a random error for each measurement of 4%

    A percent error of equal to or less than 1% is required.

    We want to find out the minimum number of measurements that must be collected.

    The standard error is given by

    SE = \frac{S}{\sqrt{N} } \\

    Where s is the standard deviation and N is the number of measurements.

    We are given standard deviation equal to 4% and SE equal to 1%

    So re-arranging the above equation for N

    \sqrt{N} = \frac{S}{SE} \\N = (\frac{S}{SE})^{2}\\N = (\frac{0.04}{0.01})^{2}\\N = 16

    Therefore, a minimum 16 number of measurements are needed.

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45:7+7-4:2-5:5*4+35:2 =? ( )