If Two Random Samples of Sizes N₁ and N₂ Are $\bar { X } _ { 1 } - \bar { X } _ { 2 }$

question 125

Multiple Choice

If two random samples of sizes n₁ and n₂ are selected independently from two non-normally distributed populations, then the sampling distribution of the sample mean difference, $\bar { X } _ { 1 } - \bar { X } _ { 2 }$ , is

• A)always non-normal
• B)always normal
• C)approximately normal only if n₁ and n₂ are both larger than or equal to 30
• D)approximately normal regardless of n₁ and n₂

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