In order to be effective, the mean length of life of a certain mechanical component used in a spacecraft must be larger than 1,100 hours. Owing to the prohibitive cost of this component, only three can be tested under simulated space conditions. The lifetimes (hours) of the components were recorded and the following statistics were computed: i = 1,173.6 and s = 36.3. These data were analyzed using MINITAB, with the results shown in the printout below.

a. Verify that the software has correctly calculated the t statistic and determine whether the p-value is in the appropriate range.

b. Interpret the p-value.

c. Which type of error, I or 11, is of greater concern for this test? Explain.

d. Would you recommend that this component be passed as meeting specifications?