Answered: You are interested in estimating 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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Question

You are interested in estimating the mean of a population. You plan to take a random sample from the population and use the sample’s mean as an estimate of the population mean.

Assuming that the population from which you select your sample is normal, which of the statements about M are true? Check all that apply.

You can only assume that the sampling distribution of M is normally distributed for sufficiently large sample sizes.

You can assume that the sampling distribution of M is normally distributed for any sample size.

The standard deviation of the sampling distribution of M is equal to the standard deviation of the population divided by the square root of the sample size.

The expected value of the sampling distribution of M is equal to the value of the population mean divided by the sample size.

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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