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Let X1,…,Xn_1 and Y1,…,Yn_2 be random samples respectively from EXP(theta, eta_1) and EXP(theta, eta_2).(a) If eta_1, and eta_2 are known,

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Let X1,…,Xn_1 and Y1,…,Yn_2 be random samples respectively from EXP(theta, eta_1) and EXP(theta, eta_2).(a) If eta_1, and eta_2 are known, construct a Most Powerful Test for testing H0 :theta = theta_1 against Ha : theta = theta_2 where theta_1 < theta_2 are given values at significance level alpha.

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Let X1,…,Xn_1 ﻿and Y1,…,Yn_2 ﻿be random samples respectively from EXP(theta, ﻿eta_1) ﻿and EXP(theta, ﻿eta_2).(a) ﻿If eta_1, ﻿and eta_2 ﻿are known,

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Let X1,…,Xn_1 and Y1,…,Yn_2 be random samples respectively from EXP(theta, eta_1) and EXP(theta, eta_2).(a) If eta_1, and eta_2 are known,