Question

Some chronic conditions involve 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 simple 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 mean abundance of the protein BPG0235 between men in the active stage and men in the inactive phase. What is the test statistic of the appropriate hypothesis test? Assume any necessary assumptions are reasonable.

SHOW ALL WORK EVEN HOW TO CALCULATE STANDARD DEVIATION

Answer 1