Developing a Statistic Test: Can I Have Some Help?

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The discussion revolves around developing a statistical test for the hypothesis that the mean of one population is twice that of another. The user presents a challenge with the formulation of the null hypothesis, which is considered illogical in its current state. Participants suggest that the means should be treated as unknown parameters estimated from data. The two-sample t-test is recommended as an appropriate method for testing the hypothesis under these conditions. Clarifying the assumptions about the means is crucial for correctly applying the statistical test.
brad sue
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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?
 
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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.
 

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