10. Which of the following statements are TRUE about the normal distribution? Check all that apply.A z-score is the number of standard deviations a specific data value is from the mean of the distribution.A data value with z-score = -1.5 is located 1.5 standard deviations below the mean.The mean corresponds to the z-score of 1.The area to the left of a z-score plus the area to the right of that same z-score will always equal 1.The Empirical Rule only applies when a value is exactly 1, 2, or 3 standard deviations away from the mean.2.For a standard normal distribution, find:P(z < c) = 0.0604Find c rounded to four decimal places.

From the provided information, 10) The true statements are as follow: A z-score is the number of…

Answered: Which of the following statements are…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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10. Which of the following statements are TRUE about the normal distribution? Check all that apply.

A z-score is the number of standard deviations a specific data value is from the mean of the distribution.
A data value with z-score = -1.5 is located 1.5 standard deviations below the mean.
The mean corresponds to the z-score of 1.
The area to the left of a z-score plus the area to the right of that same z-score will always equal 1.
The Empirical Rule only applies when a value is exactly 1, 2, or 3 standard deviations away from the mean.

2.For a standard normal distribution, find:

P(z < c) = 0.0604

Find c rounded to four 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.

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