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In: Statistics and Probability

3. The service life of a battery used in a cardiac pacemaker is assumed to be...

3. The service life of a battery used in a cardiac pacemaker is assumed to be normally distributed. A sample of twelve batteries is subjected to an accelerated life test by running them continuously at an elevated temperature until failure, and the following lifetimes (in hours) are obtained: 26.5, 24.8, 25.7, 24.4, 26.3, 25.6, 24.5, 26.1, 24.5, 24.9, 26.2, and 24.7. Test the hypothesis that the mean battery life exceeds 25 hours. a) State the null and alternative hypothesis. b) Compute the test statistics. c) Compute the P-value. d) State a conclusion e) Construct a 95% two-sided confidence interval on mean life in the accelerated test.

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