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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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Select the correct responses.

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As the number of observations in a sample increases, all else being equal, the size of the confidence interval declines.

Confidence intervals using a t-distribution are smaller than confidence intervals using a normal distribution

For very large sample sizes, using the t-distribution and normal distribution will provide significantly different confidence interval estimates

The normal distribution and t-distribution are symmetric distributions.

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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Step 1: Introduction

List the given options

As the number of observations in a sample increases, all else being equal, the size of the confidence interval declines.
Confidence intervals using a t-distribution are smaller than confidence intervals using a normal distribution
For very large sample sizes, using the t-distribution and normal distribution will provide significantly different confidence interval estimates
The normal distribution and t-distribution are symmetric distributions.