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In an experiment to measure the lifetimes of parts manufactured from a new aluminum alloy, sixty...

In an experiment to measure the lifetimes of parts manufactured from a new aluminum alloy, sixty parts were loaded cyclically until failure. Of those sampled, the mean number of kilocycles to failure was 773 and the standard deviation was 72. From experience it is known that the mean number of kilocycles to failure for all parts made with the current aluminum alloy is 750. Is there evidence to support the claim that the mean for all new parts made with the new alloy is different from the old alloy? Justify by Confidence Interval or Hypothesis Test at α = 0.05.

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