Ask Question
3 June, 03:50

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

+1
Answers (1)
  1. 3 June, 06:15
    0
    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.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “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 ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers