Developing a Statistic Test: Can I Have Some Help?

[brad sue]

Hi,
I have this problem that I cannot figure out what to do:

Given mean 1 =mu 1, variance =sigma1^2.
mean 2=mu2, variance =sigma2^2
Test hypothesis Ho: mu1=2*mu2 versus
H1: mu1>2*mu2.

Develop a statistic test.

Can I have some help?

 

[EnumaElish]

This is an odd problem. Typically the mean is a parameter, as opposed to a statistic. The two means are either equal or not. The statement "test hypothesis H0: 1=2 vs. H1: 1>2" does not make logical sense. I guess you have to assume the means are unknown and are estimated from the data. If so, you can apply the two sample t-test.