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