The following questions refer to the standard normal distribution.A. The standard normal distribution is continuous. TrueFalse B. The z score corresponding to a number below the mean is postive. TrueFalse C. The area to the left of z = 0 is negative. TrueFalse D. Which of the following is not true about the standard normal curve? It's continuous.It's bell shaped.The total area under the curve is 1.It's uniform.

“Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for you. To get remaining sub-part solved please repost the complete question and mention the sub-parts to be solved." The standard normal distribution is a normal distribution with a mean of zero and standard deviation of 1. The standard normal distribution is centered at zero and the degree to which a given measurement deviates from the mean is given by the standard deviation. For the standard normal distribution, 68% of the observations lie within 1 standard deviation of the mean; 95% lie within two standard deviation of the mean; and 99.9% lie within 3 standard deviations of the mean. Since the area under the standard curve = 1, we can begin to more precisely define the probabilities of specific observation using Z-score. A z-score describes the position of a raw score in terms of its distance from the mean, when measured in standard deviation units. The z-score is positive if the value lies above the mean, and negative if it lies below the mean. It is also known as a standard score, since it allows comparison of scores on different kinds of variables by standardizing the distribution. The formula for calculating a z-score is Z=x-μσ where x is the raw score, μ is the population mean, and σ is the population standard deviation.(A) A probability distribution in which the random variable X can take on any value (is continuous). Because there are infinite values that X could assume, the probability of X taking on any one specific value is zero. Therefore we often speak in ranges of values. The standard normal distribution is one example of a continuous distribution. Hence the statement "The standard normal distribution is continuous" is TRUE. (B) The z-score is positive if the value lies above the mean, and negative if it lies below the mean. It is also known as a standard score, because it allows comparison of scores on different kinds of variables by standardizing the distribution. Hence the statement "The z score corresponding to a number below the mean is positive" is FALSE. (C) The area to the right of Z=0 is the same as the area to the left of Z = 0. This is because Z = 0 is the point of symmetry in a standard normal curve. Hence the statement "The area to the left of z = 0 is negative" is FALSE.

Answered: The following questions refer to the…

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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The following questions refer to the standard normal distribution.

A. The standard normal distribution is continuous.

True
False

B. The z score corresponding to a number below the mean is postive.

True
False

C. The area to the left of z = 0 is negative.

True
False

D. Which of the following is not true about the standard normal curve?

It's continuous.
It's bell shaped.
The total area under the curve is 1.
It's uniform.

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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