in a manufacturing process a machine produces bolts that have an average length of 3 inches with a variance of .03. if we randomly select three bolts from this process: what is the standard deviation of the sampling distribution of the sample mean?

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08-11-2022
Mathematics

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in a manufacturing process a machine produces bolts that have an average length of 3 inches with a variance of .03. if we randomly select three bolts from this process: what is the standard deviation of the sampling distribution of the sample mean?

Answer :

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MahimZuberi MahimZuberi · Answer 1 · 2022-11-12T02:35:37-05:00

The standard deviation of the sampling distribution of the sample mean is 0.1 when a machine produces bolts that have an average length of 3 inches with a variance of .03.

What is standard deviation?

The positive square root of the variance is the standard deviation. One of the fundamental techniques used in statistical analysis is standard deviation. Standard deviation, also known as SD or denoted by the symbol "σ" indicates how far a value deviates from the mean value.

Here,

σx = σ/√n

= √.03/√3

= .1732/1.732

= 0.1

When a machine creates bolts with an average length of 3 inches and a variance of.03, the standard deviation of the sampling distribution of the sample mean is 0.1.

To know more about standard deviation,

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