Which of the following statement is INCORRECT? If Y follows the standard normal distribution and Y, follows a chis-square distribution with degrees of freedom 7n, then nYY t distribution. If X1,..., X, is a random sample from a normal population with population mean 1 and variance 1, then (X - 1)2 + (X2 -1) (X- 1) follows a chi-square distribution with degrees of freedom n. If X....., X, is a random sample from a normal distribution with population mean 0 and a known variance o2 then A must follow a distribution, where X denotes the sample mean and S denotes the sample standard deviation. If T follows at distribution with degrees of freedom n, then T must follow an F distribution with degrees of freedom 1 and n.
Which of the following statement is INCORRECT? If Y follows the standard normal distribution and Y, follows a chis-square distribution with degrees of freedom 7n, then nYY t distribution. If X1,..., X, is a random sample from a normal population with population mean 1 and variance 1, then (X - 1)2 + (X2 -1) (X- 1) follows a chi-square distribution with degrees of freedom n. If X....., X, is a random sample from a normal distribution with population mean 0 and a known variance o2 then A must follow a distribution, where X denotes the sample mean and S denotes the sample standard deviation. If T follows at distribution with degrees of freedom n, then T must follow an F distribution with degrees of freedom 1 and n.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:Which of the following statement is INCORRECT?
If Y, follows the standard normal distribution and Y, follows a chis-square distribution with degrees of freedom n, then nY/Y
t distribution.
If X1,.., Xn is a random sample from a normal population with population mean 1 and variance 1, then (X -1) + (X - 1
(X, - 1) follows a chi-square distribution with degrees of freedom n.
If X,..., Xn is a random sample from a normal distribution with population mean 0 and a known variance o, then must follow a
distribution, where X denotes the sample mean and S denotes the sample standard deviation.
If T follows at distribution with degrees of freedom n, then T must follow an F distribution with degrees of freedom 1 and n.
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