Answered: For the following questions, consider a…

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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need help with questions below,

For the following questions, consider a data set that exhibits a normal distribution.
Report the answers to the nearest 0.01% (enter just the value, but not the percentage symbol).

How much of the data lies below the value corresponding to Z = 1.8?

What is the Z score for the value that is smaller than 10.2% of the data?

For the following questions, consider a data set that exhibits a normal distribution. Report the answers to the nearest 0.01.

What is the Z score for the value that is larger than 35.2% of the data?

What is the Z score for the value that is smaller than 10.2% of the data

Consider a set of 1400 of normally distributed data values with a mean of 26 and a standard deviation of 4.0

How many values are larger than 27.00 (report answer to the nearest integer)

How many values are between 23.00 and 28.00? (report answer to the nearest integer)

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

“Since you have posted multiple questions with multiple sub parts, we will provide the solution only to the first three sub parts of the first question as per Q&A guidelines. Please repost the remaining question by specifying the sub parts need to be answered”

Consider a data set that exhibits a normal distribution.

i.e. $X ~ N (μ, σ^{2})$

Then the standard normal variate $Z$ is defined as,

$Z = \frac{X - μ}{σ} ~ N (0, 1)$