The burning rates of two different solid-fuel propellants used in aircrew escape systems are being studied. It is known that both propellants have approximately the same standard deviation of burning rate; that is σ1 = σ2 = 3 centimeters per second. Two random samples of n1 = 20 x1 = 162.5 x2 = 155.0 and n2 = 20 specimens are tested; the sample mean burning rates are x =18 centimeters per second and x2 = 24 centimeters per second. (a) Test the hypothesis that both propellants have the same mean burning rate. Use a = 0.05. (b) What is the P-value of the test in part (a)? (c) What is the B-error of the test in part (a) if the true difference in mean burning rate is 2.5 centimeters per second? (d) Construct a 95% confidence interval on the difference in means μ1