Suppose X-N(0,1) and Q1 and Q2 are Chi-Square Random Variables with n, and n2 degrees of freedom, respectively. Which of the following statements are true? I) Q,/X will have T distribution with n, degrees of freedom II) Q/n2+Q2/n, will have a Chi-Square distribution with ng + n2 degrees of freedom. III) x2 will have a Chi-Square Distribution with 1 degree of freedom. IV) (Q,/n1/(Q/n2) will have an F Distribution with ng and n2 degrees of freedom O a)I and III and IV only are true O b) Il and IIl only are true O c) I and III only are true O d) II and IV only are true
Suppose X-N(0,1) and Q1 and Q2 are Chi-Square Random Variables with n, and n2 degrees of freedom, respectively. Which of the following statements are true? I) Q,/X will have T distribution with n, degrees of freedom II) Q/n2+Q2/n, will have a Chi-Square distribution with ng + n2 degrees of freedom. III) x2 will have a Chi-Square Distribution with 1 degree of freedom. IV) (Q,/n1/(Q/n2) will have an F Distribution with ng and n2 degrees of freedom O a)I and III and IV only are true O b) Il and IIl only are true O c) I and III only are true O d) II and IV only are true
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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Transcribed Image Text:5. Suppose X-N(0,1) and Q, and Q2 are Chi-Square Random Variables with n, and no degrees of freedom, respectively. Which of the following statements are true?
I) Q1/X will have T distribution with n, degrees of freedom
II) Q1/n2+Q2/n1 will have a Chi-Square distribution with n + n2 degrees of freedom.
III) X2 will have a Chi-Square Distribution with 1 degree of freedom
IV) (Q1/n1)/(Q2/n2) will have an F Distribution with n, and n2 degrees of freedom
O a) I and III and IV only are true
O b) Il and III only are true
O c) I and III only are true
O d) III and IV only are true
6. Suppose an independent
mple (X, X2, Xa} is taken from a random variable X having mean u and variance o. Choose the estimator foru which is both unbiased and efficient.
O a) (X1/4 + X2 14+ X3/4)
O b) (3X4/8 + 3X2/8+ Xg/4)
O c) (2X1/8 + 2X2/8 + X3/2)
O d) (X1/8 + X2/8 + 3X3/4)
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