Answered: For the following case, assume that…

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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For the following case, assume that the population standard deviation is known and decide whether use of the z-interval procedure to obtain a confidence interval for the population mean is reasonable. Explain your answer.

The variable under consideration is very close to being normally distributed, and the sample size is 10. Choose the correct answers.

A. It is not reasonable to use the z-interval procedure in this case because the sample is too small (size less than 15).

B. It is reasonable to use the z-interval procedure in this case since, although the sample is small (size less than 15), the variable under consideration is very close to being normally distributed.

C. It is not reasonable to use the z-interval procedure in this case since it is very likely that with such a small sample size that there will be outliers in the sample. Knowing that the variable under consideration is very close to being normally distributed does not mean the sample is.

D. It is reasonable to use the z-interval procedure in this case since both the sample is large (size 10 or greater) and the variable under consideration is very close to being normally distributed.

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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