Answer (Choose 1 answer)
(See picture)
A. (iii)
B. (v)
C. (ii)
D. (iv)
E. (i)
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 \sigma_{1}=3.5 centimeters per second and \sigma_{2}=4.2 centimeters per second for propellant 1 and propellant 2, respectively. Two random samples of n_{1}=25 and n_{2}=18 specimens are tested, the sample mean burning rates are \overline{x}_{1}=28.1 centimeters per second \overline{x}_{2}=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 -0.
(i) H_{0}:\mu_{1}-\mu_{2}=0, H₁: M-2≠ z_{0}=0.982
(ii) H_{0}:\mu_{1}-\mu_{2}=0, H₁: 14-14≠0, z_{0}=0.474
(iii) Ho: M-≠0, H_{1}:\mu_{1}-\mu_{2}=0 z_{0}=0.474
(iv)H_{0}:\mu_{1}-\mu_{2}=0,H_{1}\mu_{1}-\mu_{2}>0z_{0}=0.982
(v)H_{0}:\mu_{1}-\mu_{2}=0,H_{1}:\mu_{1}-\mu_{2}e0,z_{0}=0.495
the exam.
Exit (21
