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:FlaskTFlaskCFlaskND18.265.211626.876.1125.13886.2135.647.695.7145.257.9106.3156.1a. Test if mean doubling time is different in Caffeine (C ) when compared to no drug (ND) using an ANOVA method, report an approximate p-value for the level of significance.b. If a drug decreases the doubling time of yeast cells, what could be the purpose of using this drug?

Given: N = 15 k = 3 Formula Used: Sum of square SS = ∑i=1N(Xi -X)2 X = 1n∑Xi

Answered: A researcher designs an experiment…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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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	Flask	C	Flask	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

a. Test if mean doubling time is different in Caffeine (C ) when compared to no drug (ND) using an ANOVA method, report an approximate p-value for the level of significance.

b. If a drug decreases the doubling time of yeast cells, what could be the purpose of using this drug?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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