A researcher designs an experiment using two drugs, she prepares 15 independent flasks of yeast growth medium and yeast cells. She adds tunicamycin (T) or caffeine (C) to 5 flasks each. Remaining 5...

A researcher designs an experiment using two drugs, she prepares 15 independent flasks of yeast growth medium and yeast cells. She adds tunicamycin (T) or caffeine (C) to 5 flasks each. Remaining 5 flasks get no drugs (ND). Doubling time of the yeast cells are measured in each flask, data is provided below:

Test if mean doubling time is different than others in at least one growth condition (ND, T or C), using
F-test
and report an approximate p-value for the level of significance. What is the hypotheses and the assumptions of this test?

Extracted text: Flask Flask Flask ND 8.2 6 5.2 11 6 2 6.8 7 6.1 12 5.1 3 8 6.2 13 5.6 4 7.6 9 5.7 14 5.2 5 7.9 10 6.3 15 6.1