Statistics for The Behavioral Sciences (MindTap Course List)

10th Edition

ISBN: 9781305504912

Author: Frederick J Gravetter, Larry B. Wallnau

Publisher: Cengage Learning

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Textbook Question

Chapter 5, Problem 20P

A population consists of the following N = 5 scores: 0, 6, 4, 3, and 12.

Compute μ and

σ for the population.

Find the z-score for each score in the population.

Transform the original population into a new population of N = 5 scores with a mean of μ = 100 and a standard deviation of σ = 20 .

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 5, Problem 19P

Chapter 5, Problem 21P

Chapter 5 Solutions

Statistics for The Behavioral Sciences (MindTap Course List)

Ch. 5 - What information is provided by the sign (+/)of a...Ch. 5 - A distribution has a standard deviation of =10....Ch. 5 - For a distribution with a standard deviation of...Ch. 5 - For a population with =60and =12 Find the a-score...Ch. 5 - For a population with =40and =11 , find the...Ch. 5 - For a population with a mean of =100and a standard...Ch. 5 - A population has a mean of =60and a standard...Ch. 5 - Find the a-score corresponding to a score of X=45...Ch. 5 - Find the X value corresponding to z=0.25 of the...Ch. 5 - A score that is 6 points below the mean...

Ch. 5 - A score that is 9 points above the mean...Ch. 5 - For a population with a standard deviation of (...Ch. 5 - For a population with a mean of =70, a score of...Ch. 5 - In a population distribution, a score of...Ch. 5 - For each of the following populations, would a...Ch. 5 - A distribution of exam scores has a mean of =78....Ch. 5 - For each of the following, identify the exam score...Ch. 5 - A distribution with a mean of =38and a standard...Ch. 5 - A distribution with a mean of =76and a standard...Ch. 5 - A population consists of the following N=5scores:...Ch. 5 - A sample has a mean of M=30and a standard...Ch. 5 - A sample has a mean of M=25and a standard...Ch. 5 - For a sample with a standard deviation of s=8, a...Ch. 5 - For a sample with a mean of M=51, a score of...Ch. 5 - In a sample distribution, X=56corresponds to...Ch. 5 - A sample consists of the following n=7 scores: 5,...

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A population consists of the following N = 5 scores: 0, 6, 4, 3, and 12. Compute μ and σ for the population. Find the z -score for each score in the population. Transform the original population into a new population of N = 5 scores with a mean of μ = 100 and a standard deviation of σ = 20 .

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Chapter 5 Solutions