The standard deviation of $\bar { X } _ { 1 } - \bar { X } _ { 2 }$ is also called the:
A) standard error of the difference between two sample means.
B) standard deviation of the difference between the population means.
C) normal approximation to the difference of two binomial random variables.
D) None of these choices.

Question

Quizplus · Accepted Answer

The standard deviation of $\bar { X } _ { 1 } - \bar { X } _ { 2 }$ is also called the standard error of the difference between two sample means. This is because it represents the variability in the difference between the means of two samples that we would expect to see due to chance alone, assuming the null hypothesis is true.

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The Standard Deviation Of $\bar { X } _ { 1 } - \bar { X } _ { 2 }$