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: a. 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? b. Repeat the test using a non-parametric method. Please solve manually not using software program.

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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:

a. 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?
b. Repeat the test using a non-parametric method.

Please solve manually not using software program.

Flask
Flask
Flask
ND
1
8.2
6
5.2
11
2
6.8
7
6.1
12
5.1
8
6.2
13
5.6
4
7.6
5.7
14
5.2
5
7.9
10
6.3
15
6.1
Transcribed Image Text:Flask Flask Flask ND 1 8.2 6 5.2 11 2 6.8 7 6.1 12 5.1 8 6.2 13 5.6 4 7.6 5.7 14 5.2 5 7.9 10 6.3 15 6.1
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