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q02_sol - ISyE2028A,Fall2010 SolutionstoQuiz2(versionA&B 1...

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ISyE2028A, Fall 2010 Solutions to Quiz 2 (version A & B) 1. The number of observations in a single sample, denoted by n, is referred to as the __________. ANSWER: sample size 2. The sample variance of the data set 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, and 5 is __________. ANSWER: zero 3. How much is the bias of an unbiased estimator? ANSWER: zero 4. For random variables X , X , … , X , which conditions they must satisfy in order to be called a random sample? ANSWER: They must be independent and identical distributed. 5. Let s denote the sample variance of x , i ൌ 1,2, … , n . If s ൌ 16 and y ൌ 3x for all i ൌ 1, 2, … , n , then the sample variance of the y ’s is __________. ANSWER: 144 6. Let s denote the sample variance of x , i ൌ 1,2, … , n
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