Research Methods for the Behavioral Sciences (MindTap Course List)

5th Edition

ISBN: 9781305104136

Author: Frederick J Gravetter, Lori-Ann B. Forzano

Publisher: Wadsworth Publishing

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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Textbook Question

Chapter 15, Problem 6E

For a distribution with a mean of 70

a. If the distribution had a standard deviation

of 4, would a score of 82 be considered anextreme value or an average score near the center of the distribution? (Hint: Use the mean and standard deviation to sketch a frequency distribution graph, then find the location for a score of 82.)

b. If the distribution had a standard deviation of 20, would a score of 82 be considered an extreme value or an average score near the center of the distribution?

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 15 Solutions

Research Methods for the Behavioral Sciences (MindTap Course List)

Ch. 15.1 - Define the two general categories of statistics,...Ch. 15.1 - Prob. 2LO Ch. 15.2 - Prob. 3LO Ch. 15.2 - Prob. 4LO Ch. 15.2 - Prob. 5LO Ch. 15.2 - Prob. 6LO Ch. 15.3 - Prob. 7LO Ch. 15.3 - Prob. 8LO Ch. 15.3 - Explain how sample size and sample variance...Ch. 15.4 - Identify the characteristics that differentiate...

Ch. 15.5 - Describe the two basic concerns with the...Ch. 15.5 - Describe the basic concern with measuring...Ch. 15 - In addition to the key words, you should also be...Ch. 15 - Describe the two general purposes of statistics...Ch. 15 - Explain the difference between a statistic and a...Ch. 15 - Construct a frequency distribution histogram or...Ch. 15 - Under what circumstances are the median and the...Ch. 15 - For a distribution with a mean of 70 a. If the...Ch. 15 - A researcher obtains a correlation of r = -0.72...Ch. 15 - Prob. 8E Ch. 15 - Briefly explain what is meant when a researcher...Ch. 15 - Prob. 10E Ch. 15 - Describe the relationship between the alpha level...Ch. 15 - Explain how increasing the size of the sample can...Ch. 15 - Prob. 13E Ch. 15 - Identify the appropriate hypothesis test for each...Ch. 15 - Prob. 15E Ch. 15 - Prob. 16E Ch. 15 - Prob. 1EA Ch. 15 - Make up a set of 10 pairs of scores (X and Y...

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Chapter 15 Solutions