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:
Flask | T | F | C | F | ND |
1 | 8.2 | 6 | 5.2 | 11 | 6 |
2 | 6.8 | 7 | 6.1 | 12 | 5.1 |
3 | 8 | 8 | 6.2 | 13 | 5.6 |
4 | 7.6 | 9 | 5.7 | 14 | 5.2 |
5 | 7.9 | 10 | 6.3 | 15 | 6.1 |
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?
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