# Statistical test to verify if a population has a average of k times another

by Eduardo Cesar N. Coutinho   Last Updated October 19, 2019 21:19 PM - source

Consider the situation where there are 2 distributions with unknown expected values $$\mu_1$$ and $$\mu_2$$.

We have samples $$S_1 = \{x_1, x_2, ..., x_n\}$$ and $$S_2 = \{y_1, y_2, ..., y_n\}$$.

We would like to use a statistical test under the null hypothesis: $$\mu_1 = k \times \mu_2$$.

Do you know what kind of test should we use?

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