Answered: The director of research and…

Name: The director of research and development is testing a new drug. She wa
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Description: The director of research and development is testing a new drug. She wants to know if there isevidence at the 0.05 level that the drug stays in the system for more than 375 minutes. For a sample of38 patients, the mean time the drug stayed in the syst

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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The director of research and development is testing a new drug. She wants to know if there isevidence at the 0.05 level that the drug stays in the system for more than 375 minutes. For a sample of38 patients, the mean time the drug stayed in the system was 382 minutes. Assume the populationstandard deviation is 24. Based on the sample data, is there any evidence that the drug stays in thesystem for more than 375 minutes?

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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