Given that Z is a standard normal random variable, what is the value z if the ar is 0.1949? -2.15 2.31 0.86 1.67 -1.88
Given that Z is a standard normal random variable, what is the value z if the ar is 0.1949? -2.15 2.31 0.86 1.67 -1.88
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:### Understanding Z-Scores in Standard Normal Distribution
#### Problem Statement
Given that Z is a standard normal random variable, what is the value \(z\) if the area to the right of \(z\) is 0.1949?
#### Multiple Choice Options:
- a) \(-2.15\)
- b) \(2.31\)
- c) \(0.86\)
- d) \(1.67\)
- e) \(-1.88\)
#### Explanation
In the context of the standard normal distribution, the question is asking us to find the z-score such that the area to the right of this z-score is 0.1949. To solve this, we can use the standard normal distribution table or a statistical software to find the corresponding z-value for the given cumulative area (1 - 0.1949 = 0.8051).
The correct z-score can be found using these methods.
#### Interface Description
The problem appears to be presented on a screen of a MacBook Pro, where the user is likely working through a statistical problem set or quiz. The options are provided in a multiple-choice format with radio buttons next to each potential answer.
#### Actionable Steps
1. Identify the required z-value using statistical tools.
2. Select the appropriate answer from the list provided.
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