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The diameter of holes for a cable harness is known to have
Chapter 8, Problem 12E(choose chapter or problem)
The diameter of holes for a cable harness is known to have a normal distribution with \(\sigma=0.01\) inch. A random sample of size 10 yields an average diameter of 1.5045 inch. Find a 99% two-sided confidence interval on the mean hole diameter.
Questions & Answers
QUESTION:
The diameter of holes for a cable harness is known to have a normal distribution with \(\sigma=0.01\) inch. A random sample of size 10 yields an average diameter of 1.5045 inch. Find a 99% two-sided confidence interval on the mean hole diameter.
ANSWER:Step 1 of 3
Given,
The standard deviation,
Sample size, n = 10.
The mean,
For a sample mean, , of a random sample of size n from a normal population with known variance , a Confidence Interval on is given by,