Find the indicated Z score the graph depicts the standard normal distribution with mean 0 in standard deviation 1. The image displays a standard normal distribution curve. This bell-shaped curve represents a probability distribution where the mean is zero and the standard deviation is one.### Features of the Graph:- **Normal Curve:** The symmetrical blue line represents the distribution of data. It rises to a peak at the mean and tails off equally on either side.- **Probability Area:** The central area under the curve is highlighted with a value of 0.9857. This indicates that 98.57% of the data falls within this range.- **Z-Score Line:** To the right of the highlighted area, a vertical line marked "Z" indicates a specific Z-score. This score marks a specific point on the horizontal axis, representing a certain number of standard deviations from the mean.This visualization is used to demonstrate the concept of Z-scores in statistics, which can be applied to understand how data points compare to a standard normal distribution.

Answered: Find the indicated Z score the graph…

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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Find the indicated Z score the graph depicts the standard normal distribution with mean 0 in standard deviation 1.

The image displays a standard normal distribution curve. This bell-shaped curve represents a probability distribution where the mean is zero and the standard deviation is one.

### Features of the Graph:

- **Normal Curve:** The symmetrical blue line represents the distribution of data. It rises to a peak at the mean and tails off equally on either side.
- **Probability Area:** The central area under the curve is highlighted with a value of 0.9857. This indicates that 98.57% of the data falls within this range.
- **Z-Score Line:** To the right of the highlighted area, a vertical line marked "Z" indicates a specific Z-score. This score marks a specific point on the horizontal axis, representing a certain number of standard deviations from the mean.

This visualization is used to demonstrate the concept of Z-scores in statistics, which can be applied to understand how data points compare to a standard normal distribution.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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