Answered: 1. The authors of the paper "Serum Zinc…

Name: 1. The authors of the paper "Serum Zinc Levels of Cord Blood: Relation
Uploaded: 2024-03-20T07:07:12.000Z
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Description: 1. The authors of the paper "Serum Zinc Levels of Cord Blood: Relation to Birth Weight and Gestational Period"† carried out a study of zinc levels of low-birth-weight babies and normal-birth-weight babies. For a sample of 50 low-birth-weight babies,

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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1. The authors of the paper "Serum Zinc Levels of Cord Blood: Relation to Birth Weight and Gestational Period"† carried out a study of zinc levels of low-birth-weight babies and normal-birth-weight babies. For a sample of 50 low-birth-weight babies, the sample mean zinc level was 17.00 and the standard error

was 0.43. For a sample of 73 normal-birth-weight babies, the sample mean zinc level was 18.16 and the standard error was 0.32. Explain why the two standard errors are not the same.

The two standard errors are not the same since the formula for standard error has sample size in the (DENOMINATOR/NUMERATOR) . The sample size for normal birth weight babies is (SMALLER/LARGER) than the sample size for low-birth weight babies, which result in (SMALLER/LARGER) values for the standard error, which would explain the difference in the two standard errors.

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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