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

9th Edition

ISBN: 9781337515429

Author: GRAVETTER

Publisher: Cengage

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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 5.4, Problem 4LC

Last week Sarah had exams in math and in Spanish. On the math exam, the mean was μ = 30 with σ = 5, and Sarah had a score of X = 45. On the Spanish exam, the mean was μ = 60 with σ = 6 and Sarah had a score of X = 65. For which class should Sara expect the better grade?

a. Math
b. Spanish
c. The grades should be the same because the two exam scores are in the same location.
d. There is not enough information to determine which is the better grade.

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 3LC

Chapter 5.5, Problem 1LC

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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