BuyFindarrow_forward

Statistics for The Behavioral Scie...

10th Edition
Frederick J Gravetter + 1 other
ISBN: 9781305504912

Solutions

Chapter
Section
BuyFindarrow_forward

Statistics for The Behavioral Scie...

10th Edition
Frederick J Gravetter + 1 other
ISBN: 9781305504912
Textbook Problem

  1. What information is provided by the sign ( + / ) of a z-score? What information is provided by the numerical value of the z-score?

To determine

Information provided by +/- sign of Z score and what information by its numerical value.

Answer

Solution:

The sign of the z-score tells whether the location is above (+) or below (-) the mean, and the magnitude tells the distance from the mean in terms of the number of standard deviations.

Explanation

Z Score is given by the transformation=(X-mean)/standard deviation.

So, a Z score of (+) means to the right of mean and sign of (−) means right of the mean. Since Z scores are standardized scores hence the numerical value depicts distance from mean in terms of standard deviation or spread of the distribution. So, a Z=+2.00 implies the data point is 2 standard deviation about the mean and so on.

Z-Scores can help us understand how typical a particular score is within bunch of scores. If data are normally distributed, approximately 95% of the data should have Z-score between -2 and +2. Z-scores that do not fall within this range may be less typical of the data in a bunch of scores.

Z-Scores can help us compare individual scores from different bunches of data. We can use Z-scores to standardize scores from different groups of data. Then we can compare raw scores from different bunches of data.

Conclusion:

We have mentioned the information conveyed by sign and numerical value of Z scores.

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Additional Math Solutions

Find more solutions based on key concepts

Show solutions add

Draw a histogram for the distribution of scores shown in the following table. x f 10 2 9 4 8 1 7 1 6 4 5 2

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

Optimizing Travel Time Towns A, B, C, and D are located as shown m the following figure. Two highways link town...

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Add the following fractions and reduce to lowest terms. 1112+35+1930

Contemporary Mathematics for Business & Consumers

True or False: is a convergent series.

Study Guide for Stewart's Multivariable Calculus, 8th

By definition the improper integral It is not an improper integral.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

WRITING ABOUT CONCEPTS Smooth Curve Slate the definition of a smooth curve.

Calculus: Early Transcendental Functions (MindTap Course List)

Find all the answers to your study problems with bartleby.
Textbook solutions plus Q&A. Get As ASAP arrow_forward