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?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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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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