Question: 44
(Choose 1 answer)
(See picture)
A. (i)
B. (ii)
C. (iii)
D. (iv)
E. (v)
The burning rates of two different solid-fuel propellants used in
aircrew escape systems are being studied. Assume that both
populations are normally distributed, with standard deviation σ = 3.5
centimeters per second and σ =4.2 centimeters per second for
propellant 1 and propellant 2, respectively. Two random samples of
n₁ = 25 and n = 18 specimens are tested, the sample mean burning
rates are = 28.1 centimeters per second and x2 = 27.5 centimeters per
second. A researcher would like to test the hypothesis that both
propellants have the same mean burning rate, at the 5% significance
level. State the null and alternative hypotheses and find the value of
the test statistic =₁-
(i) H₁ : µ − µ = 0, H₁ μ−µ₂ ±0, = = 0.982
(ii) H₁ μ-μ₂ = 0, H₁: M₁ - M₂ #0, ₁ = 0.474
(iii) H₁: µ−µ ±0, H₁: µ−µ =0, =₁ =0.474
(iv) H₁: µ − µ = 0, H₁: M − M₂ >0, = = 0.982
(v) H₁ = 0, H₁: 1 - 1 %0, = = 0.495
