Suppose that the standard deviation of the tube life for a particular brand of TV picture tube is known to be σ=400, but that the mean operating life is not known. Overall, the operating life of the tubes is assumed to be approximately normally distributed. For a sample of n =15, the mean operating life is X ̅=8900 hr. Determine (i) the 95 percent and (ii) the 90 percent confidence intervals for estimating the population mean.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Suppose that the standard deviation of the tube life for a particular brand of TV picture tube is known to be σ=400, but that the mean operating life is not known. Overall, the operating life of the tubes is assumed to be approximately normally distributed. For a sample of n =15, the mean operating life is X ̅=8900 hr. Determine (i) the 95 percent and (ii) the 90 percent confidence intervals for estimating the population mean.

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