[STATISTICS - SAMPLE MEAN, VARIANCE, AND NORMAL DISTRIBUTION] MULTIPLE CHOICEWhich option is correct? I will upvote the solution if given within an hour. Thanks! Suppose X₁, X₂ are random sample from N(μ, o2) distribution. Let X = X₁+X₂2Which statement is correct?(1) X has a N(μ, o²) distribution.(II) X approximately has N(μ,) distribution by the CLT.(III) X has a N(μ,) distribution.(IV) Since n = 2 is not sufficiently large, X does not have a normal distribution.O (IV)O (III)(1)O (II)

Answered: Suppose X₁, X₂ are random sample from…

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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[STATISTICS - SAMPLE MEAN, VARIANCE, AND NORMAL DISTRIBUTION]

MULTIPLE CHOICE

Which option is correct? I will upvote the solution if given within an hour. Thanks!

Suppose X₁, X₂ are random sample from N(μ, o2) distribution. Let X = X₁+X₂
2
Which statement is correct?
(1) X has a N(μ, o²) distribution.
(II) X approximately has N(μ,) distribution by the CLT.
(III) X has a N(μ,) distribution.
(IV) Since n = 2 is not sufficiently large, X does not have a normal distribution.
O (IV)
O (III)
(1)
O (II)

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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