a. Roughly what percentage of z-scores are between -2 and 2? b. Roughly what percentage of z-scores are between -3 and 3? c. Roughly what percentage of z-scores are between -1 and 1?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question

Help! All the options for all parts are the same: "almost all, 95%, 68%, or 50%"

a. Roughly what percentage of z-scores are between -2 and 27
centage of z-scores are between -3 and 37
Almost All
95%
68%
centage of z-sceres are between-t and 1?
50%
d. Roughly what percentage of z-66ores are mere than 0?
e. Roughly what percentage of z-8cores are between 1 and 2?
Transcribed Image Text:a. Roughly what percentage of z-scores are between -2 and 27 centage of z-scores are between -3 and 37 Almost All 95% 68% centage of z-sceres are between-t and 1? 50% d. Roughly what percentage of z-66ores are mere than 0? e. Roughly what percentage of z-8cores are between 1 and 2?
The Empirical Rule applies rough approximations to probabilties for any unimodal, symmetric distribution. But for the Normal distribution we
can be more precise, as the figure shows. Use the figure and the fact that the Normal curve is symmetric to answer the questions. Do not use
a Normal table or technology. Complete parts a through e.
68%
95%
Almost All
Z 3 -2
-1
1
a. Roughly what percentage of z-scores are between -2 and 2?
b. Roughly what percentage of z-scores are between - 3 and 3?
c. Roughly what percentage of z-scores are between 1 and 1?
d. Roughly what percentage of z-scores are more than 0?
e. Roughly what percentage of z-scores are between 1 and 2?
Density
Transcribed Image Text:The Empirical Rule applies rough approximations to probabilties for any unimodal, symmetric distribution. But for the Normal distribution we can be more precise, as the figure shows. Use the figure and the fact that the Normal curve is symmetric to answer the questions. Do not use a Normal table or technology. Complete parts a through e. 68% 95% Almost All Z 3 -2 -1 1 a. Roughly what percentage of z-scores are between -2 and 2? b. Roughly what percentage of z-scores are between - 3 and 3? c. Roughly what percentage of z-scores are between 1 and 1? d. Roughly what percentage of z-scores are more than 0? e. Roughly what percentage of z-scores are between 1 and 2? Density
Expert Solution
Step 1 (a)

Hi the question have more than 3 parts. As per the guidelines I am obliged to answer first 3 parts only. 

 

From the normal curve it can be seen that 95% of the area or z-scores are between -2 and 2. 

So, the correct answer is 95%

Step 2 (b)

From the normal curve it can be seen that almost all of the area or z-scores are between -3 and 3. 

So, the correct answer is almost all

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman