- #1
lildrea88
- 6
- 0
Suppose X is normal mean [tex]\mu[/tex] unknown and standard deviation σ = 1.
(a) You are to show that the uniformly most powerful test for testing test of size α
based on a sample of size n for testing H0 :[tex]\mu[/tex] ≤ [tex]\mu[/tex]0 verses H1[tex]\mu[/tex] : ≥ [tex]\mu[/tex]0
is of the form R = {[tex]\Sigma[/tex]xj ≥ c}
where c = z[tex]\sqrt{n}[/tex] + n[tex]\mu[/tex]0
really not sure where to start..i currrently have no examples to work off and my textbook doesn't help..i do know that i am suppose to use neyman pearson, but i just don't know where to apply it
help please!
(a) You are to show that the uniformly most powerful test for testing test of size α
based on a sample of size n for testing H0 :[tex]\mu[/tex] ≤ [tex]\mu[/tex]0 verses H1[tex]\mu[/tex] : ≥ [tex]\mu[/tex]0
is of the form R = {[tex]\Sigma[/tex]xj ≥ c}
where c = z[tex]\sqrt{n}[/tex] + n[tex]\mu[/tex]0
really not sure where to start..i currrently have no examples to work off and my textbook doesn't help..i do know that i am suppose to use neyman pearson, but i just don't know where to apply it
help please!