7th Edition

ISBN: 9781323839577

Author: Larson

Publisher: Pearson Custom Publishing

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Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could co…

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a…

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Textbook Question

Chapter 5.3, Problem 4CS

CASE STUDY Birth Weights in America

The National Center for Health Statistics (NCHS) keeps records of many health-related aspects of people, including the birth weights of all babies born in the United States.

The birth weight of a baby is related to its gestation period (the time between conception and birth). For a given gestation period, the birth weights can be approximated by a normal distribution. The means and standard deviations of the birth weights for various gestation periods are shown in the table below.

One of the many goals of the NCHS is to reduce the percentage of babies born with low birth weights. The figure below shows the percents of preterm births and low birth weights from 2007 to 2015.

Chapter 5.3, Problem 4CS, CASE STUDY Birth Weights in America The National Center for Health Statistics (NCHS) keeps records

4. For each gestation period, what is the probability that a baby will weigh between 6 and 9 pounds at birth?

(a) Under 28 weeks
(b) 32 to 33 weeks
(c) 37 to 38 weeks
(d) 41 weeks

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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Chapter 5.3, Problem 3CS

Chapter 5.3, Problem 5CS

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Chapter 5 Solutions

ELEMENTARY STATISTICS W/MYMATHLAB<CUSTM

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Solution Summary: The author calculates the probability that a baby will weigh between 6 and 9 pounds at birth in the gestation period of 32 to 33 weeks using the MINITAB software.

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