Answered: population is not normal σσ is unknown…

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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A random variable X is not normally distributed. It has a mean of 43 and a standard deviation of 8.

Why or why not? Check all that apply.

population is not normal
σσ is unknown
n is at least 30
population is normal
n is less than 30
σσ is known

b) For a sample of size 15, state the mean and the standard deviation of the sampling distribution of the sample mean.

mean of the sampling distribution of the sample mean when n = 15:

standard deviation of the sampling distribution of the sample mean when n = 15 rounded to two decimal places:

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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