If two samples are selected independently from two non-normal populations,then the sampling distribution of $\bar { X } _ { 1 } - \bar { X } _ { 2 }$ is only approximately normal provided that either n₁ or n₂ is 30 or more.

Question

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The sampling distribution of $\bar{X}_1 - \bar{X}_2$ is approximately normal if both sample sizes $n_1$ and $n_2$ are 30 or more, according to the Central Limit Theorem.

If Two Samples Are Selected Independently from Two Non-Normal Populations,then Xˉ1−Xˉ2\bar { X } _ { 1 } - \bar { X } _ { 2 }Xˉ1​−Xˉ2​

If Two Samples Are Selected Independently from Two Non-Normal Populations,then $\bar { X } _ { 1 } - \bar { X } _ { 2 }$