A drug company has just developed a new pill to alleviate the symptoms of allergies and colds. However, they are concerned about the variability in the amount of time until the drug becomes effective. In a sample of 10 individuals who suffer from allergies, the amount of time for the pill to take effect was recorded with a mean of 9.4 and a variance of 19.62. the lower and upper limit of a 90% confidence interval for the actual mean time until the drug becomes effective are: a.-1.98, 20.78. b.6.86, 11.94. c.3.19, 13.26. d.6.83, 11.97. e.cannot be determined with the information given.

Solution: Given information: n= 10 Sample size x=9.4 Sample mean s2= 19.62 Sample variance…

Answered: A drug company has just developed a new…

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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A drug company has just developed a new pill to alleviate the symptoms of allergies and colds. However, they are concerned about the variability in the amount of time until the drug becomes effective. In a sample of 10 individuals who suffer from allergies, the amount of time for the pill to take effect was recorded with a mean of 9.4 and a variance of 19.62. the lower and upper limit of a 90% confidence interval for the actual mean time until the drug becomes effective are:

a.

-1.98, 20.78.

b.

6.86, 11.94.

c.

3.19, 13.26.

d.

6.83, 11.97.

e.

cannot be determined with the information given.

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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