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

The service life of a battery used in a cardiac pacemaker is assumed to be normally distributed. A random sample of 10 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: 25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3 and 25.7.

a) The manufacturer wants to be certain that the mean battery life exceeds 25h. What conclusions can be drawn from these data (use alpha = 0.05)
b) Construct a 90% two-sided confidence interval on mean life in the accelerated test.

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