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If Two Random Samples of Sizes N1 and N2 Are Xˉ1Xˉ2\bar { X } _ { 1 } - \bar { X } _ { 2 }

Question 1

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, Xˉ1Xˉ2\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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