Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
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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Chapter 5, Problem 1P

Explain how a z-score identifies an exact location in a distribution with a single number.

Expert Solution & Answer
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To determine

To explain: How a z-score identifies an exact location in a distribution with a single number.

Answer to Problem 1P

A z-score identifies an exact location in a distribution with a single number is the sign of z-score describes the location is above the mean “plus sign” and location below the mean “minus sign” and the numerical value of z-score specifies the distance from the mean in terms of number of standard deviations.

Explanation of Solution

Each X value can be transformed into a z-score that specifies the exact location of X within the distribution. The sign of the z-score indicates whether the location is above or below the mean. Use the sign of z-score to explain the z-score specifies the exact location in a distribution with a single number.

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Chapter 5 Solutions

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

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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