samples of size 5 are selected from a manufacturing process. the mean of the sample ranges is 0.50. what is the estimate of the standard deviation of the population? (round your answer to 3 decimal places.)

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01-12-2022
Mathematics

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samples of size 5 are selected from a manufacturing process. the mean of the sample ranges is 0.50. what is the estimate of the standard deviation of the population? (round your answer to 3 decimal places.)

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contexto1024 contexto1024 · Answer 1 · 2022-12-06T07:45:35+01:00

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..

To learn more about population Estimated value of the standard deviation, refer:

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