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Problem 4: A rivet is to be inserted into a hole. A random sample of n...

Problem 4:

A rivet is to be inserted into a hole. A random sample of n = 15 parts is selected, and the hole diameter is measured. The sample standard deviation of the hole diameter measurements is s = 0.006 millimeters.

(a) Construct a 99% two-bounds confidence interval for σ 2 .

(b) Construct a 99% lower confidence bound for σ.

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Answer #1

Answer: A rivet is to be inserted into a hole. A random sample of n = 15 parts is selected, and the hole diameter is measured. The sample standard deviation of the hole diameter measurements is s = 0.006 millimeters.

Solution:

n = 15

s = 0.006

a) Construct a 99% two-bounds confidence interval for σ^2:

(b) Construct a 99% lower confidence bound for σ:

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