The diameter of holes for a cable harness is known to have

Chapter 8, Problem 12E

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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.

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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,

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