1. In order to be effective, the mean life of a certain mechanical component used in a spacecraft must be longer than 1100 hours.Due to the prohibitive cost of the components, only three can be tested under simulated space conditions. The lifetimes (hours) of the components were recorded and the following statistics were computed: X-bar = 1173.6 and

S = 36.3. Do the data provide sufficient evidence to conclude that the component will be effective?Test using = .01.