A manufacturer of general aircraft dry vacuum pumps wishes to estimate the mean failure time of its product at 95% confidence. Initially, six pumps are tested to failure with these results (in hours of operation): 1272, 1384, 1543, 1465, 1250, 1319. Estimate the sample mean and the 95% confidence interval of the true mean. How many more data points would be needed to improve the confidence interval to be within ±50 hours?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A manufacturer of general aircraft dry vacuum pumps wishes to estimate the mean failure time of its product at 95% confidence. Initially, six pumps are tested to failure with these results (in hours of operation): 1272, 1384, 1543, 1465, 1250, 1319. Estimate the sample mean and the 95% confidence interval of the true mean. How many more data points would be needed to improve the confidence interval to be within ±50 hours?

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