(a) Let X1, X2, X3 be random variables with the same variance variance o?. Then, the vari-o2ance of X = Xi+X2+X3 will necessarily be3.(i) if the X;'s are all normally distributed;(ii) always;(iii) if the X,'s are independent of each other3;(iv) if the X,'s are identically distributed.i.i.d.(b) If X1, X2, ..., X,N(u, o²), then as the sample size n increases, the standard deviationof X ΣΧ,n(i) increases;(ii) stays the same;(iii) decreases;(iv) increases or decreases depending on the sign of o?.(c) The interquartile range is a better measure of dispersion in data than the standard devia-tion when(i) the standard deviation and mean are not in the same unit;(ii) there are outliers;(iii) the variance and the interquartile range are in the same unit;(iv) the data is bimodal.MacBook Pro

This is a basic concern of all statistics field. Measures of central tendency and measures of…

(a) Let X1, X2, X3 be random variables with the same variance variance o?. Then, the vari- ance of X = Xi++X3 will necessarily be (i) if the X,'s are all normally distributed; (ii) always; (iii) if the X;'s are independent of each other; (iv) if the X,'s are identically distributed. (b) If X1, X2, ..., X, N(u, o²), then as the sample size n increases, the standard deviation of X-ΣΧ i.i.d. (i) increases; (ii) stays the same; (iii) decreases; (iv) increases or decreases depending on the sign of o?. (c) The interquartile range is a better measure of dispersion in data than the standard devia- tion when (i) the standard deviation and mean are not in the same unit; (ii) there are outliers; (iii) the variance and the interquartile range are in the same unit; (iv) the data is bimodal. MacBook PrO

(a) Let X1, X2, X3 be random variables with the same variance variance o?. Then, the vari- ance of X = Xi++X3 will necessarily be (i) if the X,'s are all normally distributed; (ii) always; (iii) if the X;'s are independent of each other; (iv) if the X,'s are identically distributed. (b) If X1, X2, ..., X, N(u, o²), then as the sample size n increases, the standard deviation of X-ΣΧ i.i.d. (i) increases; (ii) stays the same; (iii) decreases; (iv) increases or decreases depending on the sign of o?. (c) The interquartile range is a better measure of dispersion in data than the standard devia- tion when (i) the standard deviation and mean are not in the same unit; (ii) there are outliers; (iii) the variance and the interquartile range are in the same unit; (iv) the data is bimodal. MacBook PrO

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) Let X1, X2, X3 be random variables with the same variance variance o?. Then, the vari-
o2
ance of X = Xi+X2+X3 will necessarily be
3.
(i) if the X;'s are all normally distributed;
(ii) always;
(iii) if the X,'s are independent of each other3;
(iv) if the X,'s are identically distributed.
i.i.d.
(b) If X1, X2, ..., X,
N(u, o²), then as the sample size n increases, the standard deviation
of X ΣΧ,
n
(i) increases;
(ii) stays the same;
(iii) decreases;
(iv) increases or decreases depending on the sign of o?.
(c) The interquartile range is a better measure of dispersion in data than the standard devia-
tion when
(i) the standard deviation and mean are not in the same unit;
(ii) there are outliers;
(iii) the variance and the interquartile range are in the same unit;
(iv) the data is bimodal.
MacBook Pro

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