q04_sol - ISyE 2028A, Summer 2010 1. Let X 1 , , X n be a...

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ISyE 2028A, Summer 2010 Friday June 18 Quiz 4 Solutions 1. Let 1 ,, n XX  be a random sample from a population having a mean µ and standard deviation σ . Provided that n is large, the Central Limit Theorem (CLT) implies that X is __________ distributed. [2 points] ANSWER: ( approximately) normally 2. When X is the mean of a random sample of size n ( n is small) from a normal population with mean , the random variable ( )/( / ) T X Sn = has a probability distribution called t -distribution with __________. [2 points] ANSWER: n-1 degrees of freedom 3. Let t ν denote the density function curve for a t -distribution with degrees of freedom. As increases, the t-distribution converges to __________ (what distribution?). [2 points]
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This note was uploaded on 09/02/2010 for the course ISYE 2028 taught by Professor Shim during the Summer '07 term at Georgia Institute of Technology.

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