Developing a Statistic Test: Can I Have Some Help?

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SUMMARY

The discussion centers on developing a statistical test for the hypothesis H0: μ1 = 2μ2 versus H1: μ1 > 2μ2. The initial confusion arises from the interpretation of means as parameters rather than statistics. The consensus is to treat the means as unknown and estimated from the data, leading to the recommendation of using the two-sample t-test for this hypothesis testing scenario.

PREREQUISITES
  • Understanding of hypothesis testing concepts
  • Familiarity with two-sample t-test methodology
  • Knowledge of statistical parameters such as mean and variance
  • Basic proficiency in statistical software for data analysis
NEXT STEPS
  • Study the application of the two-sample t-test in detail
  • Learn about the assumptions underlying the two-sample t-test
  • Explore alternative statistical tests for comparing means
  • Investigate the use of statistical software like R or Python for hypothesis testing
USEFUL FOR

Statisticians, data analysts, and researchers involved in hypothesis testing and statistical analysis will benefit from this discussion.

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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