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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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Question

In the 2014 NHANES survey, a trained health technician measured participants’ body weight in kilograms (kg). The findings indicated that the mean weight was 78kg with a standard deviation of 8.2 kg.

Find the probability that a randomly selected individual has a weight greater than 83 kg.
What is the relevance of studying biostatistics in public health?

3.Suppose that you are interested in estimating the mean total cholesterol of the population of obese persons in the Nairobi. Assume that the total cholesterol levels follow a normal distribution with unknown population mean (μ) but with known standard deviation σ = 39.7 mg/dL. A random sample of 353 obese patients is selected from the underlying population with mean total cholesterol of 189.9 mg/dL. Construct a 95% confidence interval for μ and interpret

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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