Exponential likelihood ratio test help

#1
Hello all,
I am trying to get a grasp of likelihood ratio tests. Can any one help me with the following problem?

Exponential likelihood ratio test: for X1, . . .,Xn ~ exp(λ) with mean 1/λ derive the likelihood ratio test for testing λ = λ0.

Thanks to anyone who can help!
 

BGM

TS Contributor
#2
Please show some effort - Do you know the definition of likelihood ratio test? Can you write down the test statistic and find out the MLE? Can you simplify the test statistic?