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19 January, 15:50

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? A. 0.03 B ...01 C ...1732 D ...0577 E ...10

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  1. 19 January, 16:42
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    E ...10

    Step-by-step explanation:

    The standard deviation of sampling distribution of sample mean=σxbar=?

    σxbar=σ/√n where, σ is the population standard deviation and n is sample size

    We are given the population variance σ²=0.03 and we can calculate the population standard deviation from it by taking square root of variance

    σ=√σ²

    σ=√0.03

    σ=0.1732

    The standard deviation of sampling distribution of sample mean=σxbar=σ/√n

    We are selecting 3 bolts so, n=3

    σxbar=0.1732/√3

    σxbar=0.1732/1.732

    σxbar=0.1

    So, The standard deviation of sampling distribution of sample mean is 0.1.
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