Q31Section I (Objective (Q1–Q80))31 of 80

Statistics — standard error of the difference of sample means

Two normal populations $\pi_1$ and $\pi_2$ have their means equal, but standard deviation of $\pi_2$ is twice that of $\pi_1$ having standard deviation $\sigma$ . Then in the samples of size $2000$ from each population, the difference of sample means in all probability is

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