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In each part, assume that the population standard deviation is known. Decide whether use of the z-interval procedure to obtain a confidence interval for the population is reasonable. Explain your answers.

In each part, assume that the population standard deviation is known. Decide whether use of the z-interval procedure to obtain a confidence interval for the population is reasonable. Explain your answers.

MATLAB: An Introduction with Applications
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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In each part, assume that the population standard deviation is known. Decide whether use of the z-interval procedure to obtain a confidence interval for the population is reasonable. Explain your answers. a. The sample data contain no outliers, the variable under consideration is roughly normally distributed, and the sample size is 20. O A. The z-interval procedure is reasonable since there are no outliers, the population is roughly normal, and the sample size is over 15. O B. The z-interval procedure is not reasonable since the population is not normally distributed and the sample size is less than 30. O C. The z-interval procedure is reasonable since there are no outliers and the sample size is less than 30. O D. The z-interval procedure is not reasonable since the sample size is less than 30. b. The distribution of the variable under consideration is highly skewed, and the sample size is 25. O A. The z-interval procedure is not reasonable since the sample size is too small for a population that is far from normally distributed. O B. The z-interval procedure is not reasonable since the population is not normally distributed. O C. The z-interval procedure is reasonable since the sample size is over 15. O D. The z-interval procedure is reasonable since the sample size is over 15 and does not contain any outliers. c. The sample data contain no outliers, the sample size is 206, and the variable under consideration is far from being normally distributed. O A. The z-interval procedure is reasonable since the sample size is more than 30. O B. The z-interval procedure is not reasonable since the sample size is over 30. OC. The z-interval procedure is not reasonable since the population is not normally distributed. D. The z-interval procedure is reasonable since the sample does not contain any outliers.
Transcribed Image Text:In each part, assume that the population standard deviation is known. Decide whether use of the z-interval procedure to obtain a confidence interval for the population is reasonable. Explain your answers. a. The sample data contain no outliers, the variable under consideration is roughly normally distributed, and the sample size is 20. O A. The z-interval procedure is reasonable since there are no outliers, the population is roughly normal, and the sample size is over 15. O B. The z-interval procedure is not reasonable since the population is not normally distributed and the sample size is less than 30. O C. The z-interval procedure is reasonable since there are no outliers and the sample size is less than 30. O D. The z-interval procedure is not reasonable since the sample size is less than 30. b. The distribution of the variable under consideration is highly skewed, and the sample size is 25. O A. The z-interval procedure is not reasonable since the sample size is too small for a population that is far from normally distributed. O B. The z-interval procedure is not reasonable since the population is not normally distributed. O C. The z-interval procedure is reasonable since the sample size is over 15. O D. The z-interval procedure is reasonable since the sample size is over 15 and does not contain any outliers. c. The sample data contain no outliers, the sample size is 206, and the variable under consideration is far from being normally distributed. O A. The z-interval procedure is reasonable since the sample size is more than 30. O B. The z-interval procedure is not reasonable since the sample size is over 30. OC. The z-interval procedure is not reasonable since the population is not normally distributed. D. The z-interval procedure is reasonable since the sample does not contain any outliers.
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