Answered: Which of the following statements is…

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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Which of the following statements is true about the t-distribution?

a) For large sample sizes, the t-distribution has the same properties as the normal curve.

b) For small sample sizes, the t-distribution has the same properties as the normal curve.

c) Like the Normal distribution, the t-distribution is symmetric for small n.

d) Since population standard deviation is usually unknown, the standard error uses the sample standard deviation to estimate population standard deviation.

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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