Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard devlation 1. Shaded area is 0.8012. -3 -1 O(-1.17, 1.42) (-1.88, 0.84) 0(-0.84, 1.88) 0(-1.42, 1.17) Continue
Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard devlation 1. Shaded area is 0.8012. -3 -1 O(-1.17, 1.42) (-1.88, 0.84) 0(-0.84, 1.88) 0(-1.42, 1.17) Continue
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:**Educational Resource: Understanding Z-Scores in a Standard Normal Distribution**
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### Find the Indicated Z-Score
**Problem Statement:**
The graph depicts the standard normal distribution with mean 0 and standard deviation 1. The shaded area of the graph is 0.8012. Your task is to find the indicated z-scores that correlate with this shaded area.
**Detailed Explanation of the Graph:**
1. **Graphical Details**:
- The graph is a bell curve representing the standard normal distribution.
- The x-axis is labeled with values ranging from -3 to 3.
- The y-axis represents the probability density.
2. **Shaded Area**:
- The area under the curve shaded in blue corresponds to a probability or area of 0.8012.
- The shaded region spans from approximately -1.17 on the left to approximately 1.42 on the right, covering the central part of the distribution which corresponds to the specified area.
**Answer Choices**:
- Option A: (-1.17, 1.42)
- Option B: (-1.88, 0.84)
- Option C: (-0.84, 1.88)
- Option D: (-1.42, 1.17)
Select the correct answer based on the z-scores that bound the shaded area.
**Correct Answer:**
Option A: (-1.17, 1.42)
This conclusion is drawn based on the observation that the shaded area under the standard normal distribution curve between approximately -1.17 and 1.42 corresponds to the given area of 0.8012.
**Continue**:
Click the continue button to proceed with more exercises on z-scores and normal distribution.
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**Interactive Feature**: Try identifying z-scores for different shaded areas to strengthen your understanding of the normal distribution.
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