The estimate value of the standard deviation of the population ( manufacturing process) is 0.125..
The standard deviations is estimated to be one fourth of the sample range (as most of data values are within two standard deviations of the mean).
We have given that,
A sample of manufacturing process.
Sample size, n = 5
Mean of sample ranges = 0.50
we have to calculate the estimate of standard deviations of population.
thus , we estimate the standard deviations as fourth of the mean of the sample ranges is
S = Mean of sample ranges/4
=> S = 0.50/4
=> S = 0.125
Hence, the standard deviation of the population is estimated as 0.125..
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