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statistics question? It was found that the producer of the O-Rings that were used by the...

statistics question? It was found that the producer of the O-Rings that were used by the space shuttle Challenger were not consistent. From past production, the population standard deviation of ring diameters produced had found to be σ = 0.053 inches. For a simple random sample of n = 30 O-Rings, the average diameter was found to be 1.400 inches. Construct a 95% confidence interval and interpret the results.

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Answer #1

At 95% confidence level, the critical value is z0.025 = 1.96

The 95% confidence interval is

= 1.38, 1.42

We are 95% confident that the true average diameter lie within the confidence limits 1.38 and 1.42.

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