Answered: indicated z score. Assume the curve is…

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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Question

Find the indicated z score. Assume the curve is a standard normal distribution with mean 0 and standard deviation 1.
Round your answer to 2 decimal places.

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.

Expert Solution

Step 1

We are given that the it is the standard normal distribution which has mean equal to 0 and standard deviation equal to 1.

The area for the respective z-scores is given in the standard normal table.
In the standard normal table, the area which lie to the left of the z-scores is given. In this the right side area is given as 0.0153.

We know that the total are under the standard normal curve is 1. Hence, subtract 0.0153 form 1 to obtain the left side area.

Left area=1-Right side area
=1-0.0153
=0.9847