## The diameter of holes for a cable harness is known to have a normal distribution with σ = 0.01 inches. A random sample of size 10 yields an

Question

The diameter of holes for a cable harness is known to have a normal distribution with σ = 0.01 inches. A random sample of size 10 yields an average diameter of 1.5045 inches. Find a 99% two-sided confidence interval on the mean hole diameter. Round the answers to 4 decimal places.

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2021-10-13T23:21:09+00:00
2021-10-13T23:21:09+00:00 1 Answer
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## Answers ( )

Answer:(1.4964, 1.5126)Step-by-step explanation:We know that the

confidence interval for population meanis given by :-, where = population standard deviation.

n= sample size

= Sample mean

As per given , we haveσ = 0.01 inches

n= 10

Also, the critical value for 99% confidence interval = [From x-value table.]

[Significance level =1-0.99=0.01 and is 2.576.]

Then, the 99% two-sided confidence interval on the mean hole diameter will be :-

Hence, the required confidence interval= (1.4964, 1.5126)