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An automotive supplier of interior parts places several
Chapter 7, Problem 15E(choose chapter or problem)
An automotive supplier of interior parts places several electrical wires in a harness. A pull test measures the force required to pull spliced wires apart. A customer requires that each wire spliced into the harness must withstand a pull force of 20 pounds. Let \(X\) equal the pull force required to pull 20 gauge wires apart. Assume that the distribution of \(X\) is \(N\left(\mu, \sigma^{2}\right)\). The following data give 20 observations of \(X\):
28.8 24.4 30.1 25.6 26.4 23.9 22.1 22.5 27.6 28.1
20.8 27.7 24.4 25.1 24.6 26.3 28.2 2.2 26.3 24.4
(a) Find point estimates for \(\mu\) and \(\sigma\).
(b) Find a \(99 \%\) one-sided confidence interval for μ that provides a lower bound for \(\mu\).
Equation Transcription:
Text Transcription:
X
N(mu,sigma^2)
Mu
sigma
99%
Questions & Answers
QUESTION:
An automotive supplier of interior parts places several electrical wires in a harness. A pull test measures the force required to pull spliced wires apart. A customer requires that each wire spliced into the harness must withstand a pull force of 20 pounds. Let \(X\) equal the pull force required to pull 20 gauge wires apart. Assume that the distribution of \(X\) is \(N\left(\mu, \sigma^{2}\right)\). The following data give 20 observations of \(X\):
28.8 24.4 30.1 25.6 26.4 23.9 22.1 22.5 27.6 28.1
20.8 27.7 24.4 25.1 24.6 26.3 28.2 2.2 26.3 24.4
(a) Find point estimates for \(\mu\) and \(\sigma\).
(b) Find a \(99 \%\) one-sided confidence interval for μ that provides a lower bound for \(\mu\).
Equation Transcription:
Text Transcription:
X
N(mu,sigma^2)
Mu
sigma
99%
ANSWER:
Step 1 of 4
Given,
Sample size,
Let’s determine the following using the data:
