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Statistics: Confidence Intervals (McDonald)

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PROBLEM 2:
A supplier manufactures batteries for the emergency backup lights in the mall corridors.  A random sample of 256 batteries is taken and the sample mean life is 6.5 years with a standard deviation of 0.65 years.  The law requires 99% confidence of operation when scheduling of battery replacement.  

a) If The McDonald wants to be at his safest, he should replace the batteries at:
(the lower-limit on a two-sided confidence interval)

b) If The McDonald wants to be cheap frugal, but within the law, he should replace the batteries no later than:
(the upper-limit on a two-sided confidence interval)
Solution
The answers to the to questions along with complete calculations and steps are provided in the solution. The steps required to compute the limits of the confidence interval are also included.
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