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Some Chronic Conditions Produce Episodes of Severe Flare-Ups ("Active" Stage)

Question 31

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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 men in the active phase and 9 men in the inactive phase:
 Active  Inactive 1.01.11.00.91.00.51.20.91.21.01.31.01.00.80.71.1\begin{array} { | l | l | } \hline \text { Active } & \text { Inactive } \\\hline 1.0 & 1.1 \\\hline 1.0 & 0.9 \\\hline 1.0 & 0.5 \\\hline 1.2 & 0.9 \\\hline 1.2 & 1.0 \\\hline 1.3 & 1.0 \\\hline 1.0 & 0.8 \\\hline & 0.7 \\\hline & 1.1 \\\hline\end{array} 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. Therefore, we test the following hypotheses:
?
H0: ?A= ?1 versus Ha: ?A? ?1
What is the absolute numerical value of the two-sample t statistic?


A) 13.7
B) 0.22
C) 3.41
D) 2.58

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