Answered: In the study described in Problem 13,…

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

Table 5–15 cross-classifies pregnant women in a study by their body mass index (BMI) at 16 weeks gestation and whether they had a pre-term delivery.

Body Mass Index and Preterm Delivery

	BMI < 30	BMI 30–34.9	BMI 35+
Pre-term	320	80	120
Full term	4700	480	300

14. In the study described in Problem 13, suppose the mean BMI at 16 weeks gestation is 28.5 with a standard deviation of 3.6, and that BMI is assumed to follow a normal distribution. Find the following:

A. The proportion of women with a BMI greater than 30.

B. The proportion of women with a BMI greater than 40.

C. The BMI that separates the top 10% from the rest.

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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