What are the shapes of these distributions? Are they symmetric, left, or right skewed? Are there any outliers? If so, explain. Based upon this plot, do you see any visual evidence that there is a difference in the mean baby’s weight for women who smoke versus those that do not smoke? Gestation Period (Weeks)42+4038-36-3432-30-NOSmokingYES

The box plot for the distribution of the gestation period of women who smoke and who do not smoke is provided. The box plot. for the distribution of the gestation period of women who do not smoke is symmetric in shape as there is an equal proportion of area around the median.The box plot for the distribution of the gestation period of women who smoke is not symmetric as there are outliers beside the lower whisker. Therefore, the distribution of the gestation period of women who do not smoke is symmetric and those who smoke are left-skewed. There are two outliers among the women who smoke as there are two dots in the lower part of the boxplot.The two smaller values (outliers) will result in smaller mean gestation period among the women who smoke.For a symmetric distribution, the mean and median are equal. For left-skewed distribution, the mean is less than median.Since the two distributions have different shapes and the distribution of gestation period of women who smoke is left-skewed, the mean (not median) gestation period for women who smoke is lower as compared to the women who do not smoke.Since the gestation period for women who smoke is lower, the mean baby’s weight for women who smoke will be smaller than those who do not smoke.1)The distribution of gestation period of women who do not smoke is symmetric and those who smoke are left-skewed. There are two outliers among the women who smoke as there are two dots in the lower part of the boxplot.2) The mean baby’s weight for women who smoke will be smaller than those who do not smoke.

Answered: What are the shapes of these…

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

What are the shapes of these distributions? Are they symmetric, left, or right skewed? Are there any outliers? If so, explain.

Based upon this plot, do you see any visual evidence that there is a difference in the mean baby’s weight for women who smoke versus those that do not smoke?

Gestation Period (Weeks)
42+
40
38-
36-
34
32-
30-
NO
Smoking
YES

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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