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Mathematics, 12.03.2021 15:00 kristieroth1

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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