Honeywell assumes the life of its next$-$generation temperature control valves to be $14,500$ hours, with a known standard deviation of $2,100$ hours. From a sample of $25$ computers, an international aviation company finds a sample average of $13,000$ hours. At a significance level of $0\mathrm{.}01,$ should the company conclude that the average life of computers is less thanhypothetical $14,500$ hours?