Bundle: Statistics for the Behavioral Sciences, Loose-leaf Version, 10th + Aplia, 1 term Printed Access Card

10th Edition

ISBN: 9781337129039

Author: Frederick J Gravetter, Larry B. Wallnau

Publisher: Cengage Learning

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calcul…

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Textbook Question

Chapter 4, Problem 19P

The range is completely determined by the two extreme scores in a distribution. The standard deviation on the, other hand uses every score.

Compute the range (choose either definition) and the standard deviation for the following sample of n = 5 scores. Note that there are three score clustered around the mean in the center of the distribution and two extreme values.

Now we will break up the cluster in the center of the distribution by moving two of the central scores out to the extremes. Once again compute the range and the standard deviation.

New scores: 0, 0, 7, 14, 14.

According to the range how do the two distributions compare in variability? How do they compare according to the standard deviation?

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 4 Solutions

Bundle: Statistics for the Behavioral Sciences, Loose-leaf Version, 10th + Aplia, 1 term Printed Access Card

Ch. 4 - In words, explain what is measured by SS,...Ch. 4 - Is it possible to obtain a negative value for the...Ch. 4 - Describe the scores in a sample that has standard...Ch. 4 - There are two different formulas or methods that...Ch. 4 - Calculate the mean and S,S (sum of squared...Ch. 4 - Calculate ss, variance and standard deviation for...Ch. 4 - Calculate ss. variance and standMd deviation for...Ch. 4 - For the foUow.ing population of N=6 score: l...Ch. 4 - For the fol1owing set of scores: 1, 4, 3, 5, 7 a....Ch. 4 - Prob. 10P

Ch. 4 - For the fol1owing sample of n = 6 scores: 0, 11, 5...Ch. 4 - 12. Calculate SS, variance and standard deviation...Ch. 4 - Prob. 13P Ch. 4 - A population has a mean of µ = 50 and a standard...Ch. 4 - a. After 6 points have been added to every score...Ch. 4 - 16. Compute the mean and standard deviation for...Ch. 4 - For the following sample of n = 8 scores: 0, 1, ½,...Ch. 4 - For the following population of N=6 scores...Ch. 4 - The range is completely determined by the two...Ch. 4 - For the data in the following sample: ,6,8,6,5...Ch. 4 - 21 . Within a population. the differences that...Ch. 4 - Wegesin and Stern (2004) found greater consistency...Ch. 4 - A population has a mean of =50 and a standard...Ch. 4 - On an exam with a mean of M=78 , you obtain a...

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