let's approach a problem from two perspectives: an engineer believes a particular component has a fatigue life of 10000. in other words, that component should be expected to fail after 10000 uses. he takes a random sample of 33 components and obtains a sample mean of 9900 with a standard deviation of 2250. is there any evidence that he is overestimating the fatigue life of the components? (a) what are the null and alternative hypotheses for his test?