Aircrew escape systems are powered by a solid propellant. The burning rate of this propellant is an important product characteristic. The specification requires that the burning rate must be 50 centimeters per second. We know that the standard deviation of the burning rate is a = 1.5 cns. Suppose that the analyst Wishes to design a test so that it has at least 90% probability of detecting if the true mean burning rate of a lot differs from 50 cm/s by as much as 1 cm/s. What should be the corresponding sample size? Assume that a = 0.05