For a standard normal distribution, find the z-value that goes with a right tail area = 0.1789

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
Question
**Question: For a standard normal distribution, find the z-value that goes with a right tail area = 0.1789**

In this question, students are asked to determine the z-value corresponding to a specified right tail area under the standard normal distribution curve. The standard normal distribution is a special case of the normal distribution with a mean of 0 and a standard deviation of 1.

To solve this problem, one typically uses statistical tables or software tools:

1. **Using Z-tables**: Refer to a Z-table (Standard Normal Distribution Table) where cumulative probabilities are given for different z-values. Since the table usually provides the cumulative area from the left side up to the given z-value, convert the right tail area to the left tail area by subtracting 0.1789 from 1, which gives 0.8211. Find the z-value corresponding to a cumulative left tail area of 0.8211.

2. **Using Software/Calculator**: Statistical software and calculators often have functions to directly find the z-value for a given right tail area. For example, in R, you can use:
   ```R
   qnorm(1 - 0.1789)
   ```
   This will return the z-value for the specified area.

No graphs or diagrams are given in this problem, so there is no additional visual explanation required.
Transcribed Image Text:**Question: For a standard normal distribution, find the z-value that goes with a right tail area = 0.1789** In this question, students are asked to determine the z-value corresponding to a specified right tail area under the standard normal distribution curve. The standard normal distribution is a special case of the normal distribution with a mean of 0 and a standard deviation of 1. To solve this problem, one typically uses statistical tables or software tools: 1. **Using Z-tables**: Refer to a Z-table (Standard Normal Distribution Table) where cumulative probabilities are given for different z-values. Since the table usually provides the cumulative area from the left side up to the given z-value, convert the right tail area to the left tail area by subtracting 0.1789 from 1, which gives 0.8211. Find the z-value corresponding to a cumulative left tail area of 0.8211. 2. **Using Software/Calculator**: Statistical software and calculators often have functions to directly find the z-value for a given right tail area. For example, in R, you can use: ```R qnorm(1 - 0.1789) ``` This will return the z-value for the specified area. No graphs or diagrams are given in this problem, so there is no additional visual explanation required.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
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