Let X1, X2...... X be a random sample from a distribution with mean and variance 2. Consider the random variable, X. Which of the following properties are true? Select all that apply. On average, the sample mean is equal to n times the population mean. The variance of the sample mean is equal to the population variance divided by n On average, the sample mean is equal to the population mean divided by n. The variance of the sample mean decreases as n increases. On average, the sample mean is equal to the population mean. The variance of the sample mean is equal to n times the population variance. The variance of the sample mean increases as n increases.
Let X1, X2...... X be a random sample from a distribution with mean and variance 2. Consider the random variable, X. Which of the following properties are true? Select all that apply. On average, the sample mean is equal to n times the population mean. The variance of the sample mean is equal to the population variance divided by n On average, the sample mean is equal to the population mean divided by n. The variance of the sample mean decreases as n increases. On average, the sample mean is equal to the population mean. The variance of the sample mean is equal to n times the population variance. The variance of the sample mean increases as n increases.
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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Transcribed Image Text:Let X1, X2...... X be a random sample from a distribution with mean and variance 2. Consider the random variable, X.
Which of the following properties are true? Select all that apply.
On average, the sample mean is equal to n times the population mean.
The variance of the sample mean is equal to the population variance divided by n
On average, the sample mean is equal to the population mean divided by n.
The variance of the sample mean decreases as n increases.
On average, the sample mean is equal to the population mean.
The variance of the sample mean is equal to n times the population variance.
The variance of the sample mean increases as n increases.
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