Question

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

  1. 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: 25.7, 24.3, 25.1, 24.8, 26.4, 27.4, 24.5, 26.2, 25.5, 25.9, 26.9, and 25.9. Test the hypothesis that the mean battery life exceeds 25 hours.
  1. State the null and alternative hypothesis.

  1. Compute the test statistics.

  1. Compute the P-value.

  1. State a conclusion
  1. Construct a 95% two-sided confidence interval on mean life in the accelerated test.

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