Ranking Probabilities for Difference of Means
Two independent random samples, each of size 50, are drawn from populations with standard deviations of 8 and 12, respectively. The standard error for the difference in sample means, , is calculated as . Assuming the true difference in population means is 0, which of the following correctly ranks the events below in order of increasing probability?
A: The difference in sample means is less than -5.
B: The difference in sample means is greater than 3.
C: The difference in sample means is greater than 0.
D: The difference in sample means is between -2 and 2.
A
A, B, C, D
B
D, B, A, C
C
A, C, B, D
D
B, A, D, C
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