The burning rates of two different solid fuel propellants usedin aircrew escape systems are being studied. It is know thatboth propellants have approximately the same standard deviation ofburning rate; that is σ1 = σ2 = 3cm per sec. Two random samples of n1 = 20 andn2 = 20 specimens are tested; the sample mean burningrate are x1 = 18 cm per second and x2 = 24 cmper sec. a) Test the hypothesis that both propellants have the samemean burning rate. Use α = 0.05. What is theP-Value?b) Construct a 95% confidence interval on the differenct inmeans μ1 - μ2. What isthe practical meaning of this interval. c) What is the β-error of the test in part (a) if thetrue difference in mean burning rate is 2.5 cm per second. d) Assuming equal sample sizes, what sample size is needed toobtain power of 0.9 at a true difference in means of 14 cm persecond?