Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

9th Edition

ISBN: 9781337098120

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

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 5.5, Problem 1LC

A set of scores has a mean of μ = 63 and a standard deviation of σ = 8. If these scores are standardized so that the new distribution has μ = 50 and σ = 10, what new value would be obtained for a score of X = 59 from the original distribution?

a. The score would still be X = 59.
b. 45
c. 46
d. 55

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 5.4, Problem 4LC

Chapter 5.5, Problem 2LC

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Chapter 5 Solutions

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Ch. 5.2 - What location in a distribution corresponds to z =...Ch. 5.2 - For a population with = 80 and = 12, what is the...Ch. 5.2 - For a sample with M 72and s 4, what is the X...Ch. 5.3 - In a population with = 60. a score of X = 58...Ch. 5.3 - In a sample with a standard deviation of s = 8, a...Ch. 5.3 - Prob. 3LC Ch. 5.3 - Prob. 4LC Ch. 5.4 - Prob. 1LC Ch. 5.4 - A sample with a mean of M = 50 and a standard...Ch. 5.4 - Which of the following is an advantage of...

Ch. 5.4 - Last week Sarah had exams in math and in Spanish....Ch. 5.5 - A set of scores has a mean of = 63 and a standard...Ch. 5.5 - A distribution with = 35 and = 8 is being...Ch. 5.5 - Using z-scores, a sample with M = 37 and s = 6 is...Ch. 5.6 - For the past 20 years, the high temperature on...Ch. 5.6 - A Score of X = 73 is obtained from a population....Ch. 5.6 - Under what circumstances would a score that is 15...Ch. 5 - Explain how a z-score identifies an exact location...Ch. 5 - For a population with a standard deviation of =...Ch. 5 - For a sample with a standard deviation of s = 12....Ch. 5 - For a population with = 40 and = 8: a. Find the...Ch. 5 - For a population with = 80 and = 9. find the...Ch. 5 - A sample has a mean of M = 90 and a standard...Ch. 5 - A sample has a mean of M =60 and a standard...Ch. 5 - R. Fine the-. z-score corresponding to a |score of...Ch. 5 - Fine the x value corresponding to z. - 0.75 for of...Ch. 5 - Find the z-score corresponding to X 40 and the X...Ch. 5 - Find the e-score corresponding to X = 24 and the X...Ch. 5 - A score that is 12 points below the mean...Ch. 5 - A score that is 20 points above the mean...Ch. 5 - For a population with a standard deviation of =...Ch. 5 - For a population with a mean of = 45, a score of...Ch. 5 - For a sample with a standard deviation of s 6, a...Ch. 5 - For a sample with a mean of M - 63, a score of X =...Ch. 5 - In a population distribution, a score of X = 57...Ch. 5 - In a sample distribution, a score of V 21...Ch. 5 - A distribution of exam scores has a mean of = 42....Ch. 5 - For each of the following, identify the exam score...Ch. 5 - A population with a mean of = 41 and a standard...Ch. 5 - A sample with a mean of M = 62 and a standard...Ch. 5 - A population consists of the following N 6...Ch. 5 - A sample consists of the Following n = 5 scores:...Ch. 5 - For each of the following populations, would a...

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Solution Summary: The author explains how the formula of z score transforms the original raw scores into scores. The correct answer is option (b).

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Chapter 5 Solutions