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 Flask Flask ND 1 8.2 6 5.2 11 2 6.8 7 6.1 12 5.1 3 8 8. 6.2 13 5.6 7.6 5.7 14 5.2 5 7.9 10 6.3 15 6.1 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?

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Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 2EQ: 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed...
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3. 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
Flask
Flask
ND
1
8.2
6
5.2
11
6.8
7
6.1
12
5.1
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
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-narametric method.
Transcribed Image Text:3. 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 Flask Flask ND 1 8.2 6 5.2 11 6.8 7 6.1 12 5.1 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 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-narametric method.
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