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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Question

A random sample is drawn from a population with mean μ = 56 and standard deviation σ = 4.7. [You may find it useful to reference the z table.]

n	Expected Value	Standard Error
14
34

a. Is the sampling distribution of the sample mean with n = 14 and n = 34 normally distributed? (Round the standard error to 3 decimal places.)

b. Can you conclude that the sampling distribution of the sample mean is normally distributed for both sample sizes?

multiple choice 1

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 = 14 will have a normal distribution.
No, only the sample mean with n = 34 will have a normal distribution.

c. If the sampling distribution of the sample mean is normally distributed with n = 14, then calculate the probability that the sample mean falls between 56 and 58. (If appropriate, round final answer to 4 decimal places.)

multiple choice 2

We cannot assume that the sampling distribution of the sample mean is normally distributed.
We can assume that the sampling distribution of the sample mean is normally distributed and the probability that the sample mean falls between 56 and 58 is

d. If the sampling distribution of the sample mean is normally distributed with n = 34, then calculate the probability that the sample mean falls between 56 and 58. (If appropriate, round final answer to 4 decimal places.)

multiple choice 3

We cannot assume that the sampling distribution of the sample mean is normally distributed.
We can assume that the sampling distribution of the sample mean is normally distributed and the probability that the sample mean falls between 56 and 58 is

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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