Some chronic conditions produce episodes of severe flare-ups (“active” stage) be
ID: 3158464 • Letter: S
Question
Some chronic conditions produce episodes of severe flare-ups (“active” stage) between healthy periods (“inactive” stage). The active stage often necessitates immediate medical treatment. Researchers looked for biomarkers that might help identify these active stages. Here are data on the relative abundance of the protein BPG0235 in two independent random samples of men with the same chronic condition, 7 in the active phase and 9 in the inactive phase:
Active
Inactive
1.0
1.1
1.0
0.9
1.0
0.5
1.2
0.9
1.2
1.0
1.3
1.0
1.0
0.8
0.7
1.1
We want to know if there is a significant difference in the relative abundance of the protein BPG0235 between men in the active stage and men in the inactive phase and, therefore, we test the following hypotheses:
H0: A = I, Ha: A I
What assumption must be true for this test result to be correct?
The population distributions must be roughly Normal.
The sample standard deviations must be similar.
The population standard deviations must be equal.
The same individuals must be measured during an active phase and during an inactive phase.
Active
Inactive
1.0
1.1
1.0
0.9
1.0
0.5
1.2
0.9
1.2
1.0
1.3
1.0
1.0
0.8
0.7
1.1
Explanation / Answer
The nearly normal assumption (Histograms of two set of data should be roughly unimodal and symmetric) need to be met. The population distribution must be roughly normal.
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