A certain component is critical to the operation of an electrical system and must be replaced immediately upon failure. The mean life of this type of component is 120 hours and its standard deviation is 27.5 hours. You plan on stocking a random sample of these components, and on calculating the probability that the average life of the components is greater than 112.13 hours. What is the minimum sample size needed so that the above probability is at least 0.95. Round up if needed. The sample has to have at least components.