The following data were obtained for repetitive mass measurements of 1.004-g standard mass on a top-loading balance: 1.002, 1.000, 0.997, 1.004, 1.003, 1.001, 1.005, 0.999, 1.007. a. assuming the noise is random, calculate the signal-to-noise ratio for the balance.   b. How many measurements would have to be averaged to obtain a S/N of 500?

Fundamentals Of Analytical Chemistry
9th Edition
ISBN:9781285640686
Author:Skoog
Publisher:Skoog
Chapter8: Sampling, Standardization, And Calibration
Section: Chapter Questions
Problem 8.27QAP
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  1. The following data were obtained for repetitive mass measurements of 1.004-g standard mass on a top-loading balance: 1.002, 1.000, 0.997, 1.004, 1.003, 1.001, 1.005, 0.999, 1.007.

a. assuming the noise is random, calculate the signal-to-noise ratio for the balance.

 

b. How many measurements would have to be averaged to obtain a S/N of 500?

Expert Solution
Step 1

Given,

Standard mass= 1.004-g

Set of data points, x= 1.002, 1.000, 0.997, 1.004, 1.003, 1.001, 1.005, 0.999, 1.007

number of measurements, n=9

 

To calculate,

a. Signal-to-noise ratio

b. Measurements to be averaged to obtain a S/N of 500

 

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