Answered: A random sample is drawn from a…

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 sample is drawn from a normally distributed population with mean μ = 25 and standard deviation σ = 1.5. [You may find it useful to reference the z table.]

a. Are the sampling distribution of the sample mean with n = 33 and n = 66 normally distributed?

(it is A? and is there a formula you can use to determine this? Thank you)

multiple choice

Yes, both the sample means will have a normal distribution.
No, both the sample means will not have a normal distribution.
No, only the sample mean with n = 33 will have a normal distribution.
No, only the sample mean with n = 66 will have a normal distribution.

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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