A new process is being considered for the liquefaction of coal. The old process yielded a mean of 15 kg of distillate fuel per kilogram of hydrogen consumed in the process. Let μ represent the mean of the new process. A test of H0: μ ≤ 15 versus H1: μ > 15 will be performed. The new process will be put into production if H0 is rejected. Putting the new process into production is very expensive. Therefore, it would be a costly error to put the new process into production if in fact it is no better than the old process.
Which procedure provides a smaller probability for this error?