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?
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?
Chapter8: Sampling, Standardization, And Calibration
Section: Chapter Questions
Problem 8.27QAP
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Question
- 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
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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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