2nd Edition

ISBN: 9780321978271

Author: Robert Gould, Colleen N. Ryan

Publisher: PEARSON

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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 3, Problem 17SE

Birth Weights (Example 5) The mean birth weigh for U.S children born at full term (after 40 weeks) is 3462 grams (about 7.6 pounds) Suppose the standard deviation is 500 grams and the shape of the distribution is symmetric and unimodal.

a. What is the range of birth weights ( in grams) of U.S born children from one standard

deviation below the mean to one standard deviation about the mean?

b. Is a birth weight of 2800 grams ( about 6.2 pounds) more then one standard deviation below

the mean?

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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Chapter 3, Problem 16SE

Chapter 3, Problem 18SE

Chapter 3 Solutions

Introductory Statistics (2nd Edition)

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Solution Summary: The author calculates the range of birth weight of U.S.-born children for one standard deviation about the mean.

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Chapter 3 Solutions