**Transcription for Educational Website**---**Question 12**Statistics from Cornell’s Northeast Regional Climate Center indicate that Ithaca, NY gets an average of 35.4 inches of rain each year, with a standard deviation of 4.2 inches. Over a selected period of four years, let $ \bar{x} $ represent the sample average amount of rainfall over that four-year period ($ n = 4 $). Assume that rainfall amount in Ithaca, NY follows a Normal model.Which of the following is the best statement for why the sample average rainfall amount over the four-year period $ \bar{x} $ will follow a Normal Model?- a. Because the population mean is greater than 30 inches- b. Because the population itself follows a Normal Model- c. Because the data is quantitative- d. Because the sample size is less than 30⚠ Moving to another question will save this response.[Preview] [Close Window]**Explanation of Content:**- The question explores the application of statistics in understanding rainfall patterns using a sample average and normal distribution model.- The choices offered assess the learner's understanding of why sample means may follow a Normal Model, particularly focusing on population characteristics and sample size.- This question falls under practical applications of statistical concepts such as the Central Limit Theorem.---

Following information is given: Parent population of the sample follows normal distribution sample size is 4 According to central limit theorem if the parent population is not normal but the sample size is large then the sample mean will follow normal distribution. In this case the sample size is very less but the parent population is normal. So the sample mean taken from it will also follow normal . Thus correct option is (b). Because the population itself follows normal model

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Statistics from Cornell's Northeast Regional Climate Center indicate that Ithaca, NY gets an average of 35.4" of rain each year, with a standard deviation of 4.2". Over a selected period of four years, let y represent the sample average amount of rainfall over that four-year period (n= 4). Assume that rainfall amount in Ithac: NY follows a Normal model. Which of the following is the best statement for why the sample average rainfall amount over the four year period X will follow a Normal Model? O a. Because the population mean is greater than 30" O b. Because the population itself follows a Normal Model O. Because the data is quantitative O d. Because the sample size is less than 30 < Question 12 of 21

Statistics from Cornell's Northeast Regional Climate Center indicate that Ithaca, NY gets an average of 35.4" of rain each year, with a standard deviation of 4.2". Over a selected period of four years, let y represent the sample average amount of rainfall over that four-year period (n= 4). Assume that rainfall amount in Ithac: NY follows a Normal model. Which of the following is the best statement for why the sample average rainfall amount over the four year period X will follow a Normal Model? O a. Because the population mean is greater than 30" O b. Because the population itself follows a Normal Model O. Because the data is quantitative O d. Because the sample size is less than 30 < Question 12 of 21

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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