Answered: consumer agency wanted to find out if…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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consumer agency wanted to find out if the mean time it takes for each of three brands
of medicines to provide relief from a headache is the same. The first drug was
administered to six randomly selected patients, the second to four randomly selected
patients, the third to five randomly selected patients. Table 4 gives the time (in minutes)
taken by each patient to get relief from a headache after taking the medicine. Compute
the appropriate test using 5% significant level.
TABLE 4
Drug 1 Drug 2 Drug 3
25 15 44
38 21 39
42 19 54
65 25 58
47 73
52
At 2.5% significance level, will you conclude that the mean time taken to provide relief from a
headache is the same for each of the three drugs?

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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