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or two poppulations population. Complete pans 1. For independent samples of size 16 and 25, respectively, find the mean and standard deviation of x, -X. (Assume that the sampling is done with replacement or that the population is large enough.) he mean of x, -X, is 0. Type an integer or a decimal. Do not round.) he standard deviation of x, -X, is 10 . Round to four decimal places as needed.) . Must the variable under consideration be normally distributed on each of the two populations for you to answer part (a)? Choose the correct answer below. O A. No, the variable does not need to be normally distributed for the formulas for the mean and standard deviation of x, - X, to hold as long as the sample sizes are large enough, as long as the sampling is done with replacement O B. No, the formulas for the mean and standard deviation of x, -x, hold regardless of the distributions of the variable on the two populations, as long as the sampling is done with replacement or that the population is large enougl eYes, the valiauie must be approximately TIOmialiy uistributed oreacr uf the two populations for the fomulas for the meal anu standarddeviation of O D. No, the variable must be approximately normally diştributed on at least one of the two populations for the formulaş for the mean and standard deviation of x, -X, to hold, as long as the sampling is done with replacement,

or two poppulations population. Complete pans 1. For independent samples of size 16 and 25, respectively, find the mean and standard deviation of x, -X. (Assume that the sampling is done with replacement or that the population is large enough.) he mean of x, -X, is 0. Type an integer or a decimal. Do not round.) he standard deviation of x, -X, is 10 . Round to four decimal places as needed.) . Must the variable under consideration be normally distributed on each of the two populations for you to answer part (a)? Choose the correct answer below. O A. No, the variable does not need to be normally distributed for the formulas for the mean and standard deviation of x, - X, to hold as long as the sample sizes are large enough, as long as the sampling is done with replacement O B. No, the formulas for the mean and standard deviation of x, -x, hold regardless of the distributions of the variable on the two populations, as long as the sampling is done with replacement or that the population is large enougl eYes, the valiauie must be approximately TIOmialiy uistributed oreacr uf the two populations for the fomulas for the meal anu standarddeviation of O D. No, the variable must be approximately normally diştributed on at least one of the two populations for the formulaş for the mean and standard deviation of x, -X, to hold, as long as the sampling is done with replacement,

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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Need help on b and c. 
For c.) please indicate yes or no and why it would be the case. (Descriptive as possible)

A variable of two populations has a mean of 55 and a standard deviation of 24 for one of the populations and a mean of 55 and a standard deviation of 40 for the other population. Complete parts (a) through (c). a. For independent samples of size 16 and 25, respectively, find the mean and standard deviation of x, - X. (Assume that the sampling is done with replacement or that the population is large enough.) The mean of X, - X, is 0 (Type an integer or a decimal. Do not round.) The standard deviation of x, -x, is 10. (Round to four decimal places as needed.) b. Must the variable under consideration be normally distributed on each of the two populations for you to answer part (a)? Choose the correct answer below. O A. No, the variable does not need to be normally distributed for the formulas for the mean and standard deviation of x, - X, to hold as long as the sample sizes are large enough, as long as the sampling is done with replacement. O B. No, the formulas for the mean and standard deviation of x, - x, hold regardless of the distributions of the variable on the two populations, as long as the sampling is done with replacement or that the population is large enough. eTes, ine vaGUIE must De approximately nomGliy uistriouted on eachh ur the two popuiations ior the fomuias for the mean and stalnuaiu deviation vi , lu Ioid. O D. No, the variable must be approximately normally distributed on at least one of the two populations for the formulas for the mean and standard deviation of x, -X, to hold, as long as the sampling is done with replacement. c. Can you conclude that the variable x, -x, is normally distributed? Explain your answer. Note that if the variable under consideration is normally distributed, so is the variable x. Also, notice that if X and Y are normally distributed, so is X-Y. Review the factors that result in a normal sampling distribution for each sample mean. Recall that a normal sampling distribution for each sample mean results if the population from which the sample is drawn is normally distributed or if the sample size is large enough to satisfy theorem. central limit
Transcribed Image Text:A variable of two populations has a mean of 55 and a standard deviation of 24 for one of the populations and a mean of 55 and a standard deviation of 40 for the other population. Complete parts (a) through (c). a. For independent samples of size 16 and 25, respectively, find the mean and standard deviation of x, - X. (Assume that the sampling is done with replacement or that the population is large enough.) The mean of X, - X, is 0 (Type an integer or a decimal. Do not round.) The standard deviation of x, -x, is 10. (Round to four decimal places as needed.) b. Must the variable under consideration be normally distributed on each of the two populations for you to answer part (a)? Choose the correct answer below. O A. No, the variable does not need to be normally distributed for the formulas for the mean and standard deviation of x, - X, to hold as long as the sample sizes are large enough, as long as the sampling is done with replacement. O B. No, the formulas for the mean and standard deviation of x, - x, hold regardless of the distributions of the variable on the two populations, as long as the sampling is done with replacement or that the population is large enough. eTes, ine vaGUIE must De approximately nomGliy uistriouted on eachh ur the two popuiations ior the fomuias for the mean and stalnuaiu deviation vi , lu Ioid. O D. No, the variable must be approximately normally distributed on at least one of the two populations for the formulas for the mean and standard deviation of x, -X, to hold, as long as the sampling is done with replacement. c. Can you conclude that the variable x, -x, is normally distributed? Explain your answer. Note that if the variable under consideration is normally distributed, so is the variable x. Also, notice that if X and Y are normally distributed, so is X-Y. Review the factors that result in a normal sampling distribution for each sample mean. Recall that a normal sampling distribution for each sample mean results if the population from which the sample is drawn is normally distributed or if the sample size is large enough to satisfy theorem. central limit
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