Answered: F AN INDIVIDUAL. SUPPOSE THAT A RANDOM…

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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TOTAL PLASMA VOLUME IS IMPORTANT IN DETERMINING THE REQUIRED PLASMA COMPONENT IN BLOOD REPLACEMENT THERAPY FOR A PERSON UNDERGOING SURGERY. PLASMA VOLUME IS INFLUENCED BY THE OVERALL HEALTH AND PHYSICAL ACTIVITY OF AN INDIVIDUAL. SUPPOSE THAT A RANDOM SAMPLE OF 45 MALE FIREFIGHTERS ARE TESTED AND THAT THEY HAVE A PLASMA VOLUME SAMPLE MEAN OF 37.5ML/KG WITH A STANDARD DEVIATION OF 7.50ML/KG.

1) Find a 95% confidence interval for the mean blood plasma volume in male firefighters. Interpret
the interval.

2) The Chief Scientist at the lab wants the estimation of the mean blood plasma volume to be correct
to within 1 unit of the true mean with 95% probability. How many additional firefighters have to
be sampled in order to achieve this estimation accuracy?

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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