In an experiment to measure the lifetimes of parts manufactured from a certain aluminum alloy, 73 parts were loaded cyclically until failure. The mean number of kilocycles to failure was 783, and the standard deviation was 120. Let μ represent the mean number of kilocycles to failure for parts of this type. A test is made of H0 : μ ≤ 750 versus H1 :μ > 750.
a. Find the P-value.
b. Either the mean number of kilocycles to failure is greater than 750, or the sample is in the most extreme % of its distribution?