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Unformatted text preview: 103 Chapter 6 Chapter 6 Chapter 6 Chapter 6 Point Estimation FillintheBlank Questions Section 6.1 1. The objective of __________ is to select a single number such as 2 or s x , based on sample data, that represents a sensible value (good guess) for the true value of the population parameter, such as 2 or . ANSWER: point estimation 2. Given four observed values: 1 2 3 4 4.6, 6.2, 3.7, and 5.5, x x x x = = = = would result in a point estimate for that is equal to __________. ANSWER: 5 3. An estimator that has the properties of __________ and __________ will often be regarded as an accurate estimator. ANSWER: unbiasedness, minimum variance 4. A point estimator is said to be an __________ estimator of if ( ) E = for every possible value of . ANSWER: unbiased 5. The sample median %and any trimmed mean are unbiased estimators of the population mean if the random sample from a population that is __________ and __________. ANSWER: continuous, symmetric 6. Among all estimators of parameter that are unbiased, choose the one that has minimum variance. The resulting is called the __________ of . ANSWER: minimum variance unbiased estimator (MVUE) CHAPTER SIX 104 7. The standard error of an estimator is the __________ of . ANSWER: standard deviation Section 6.2 8. In your text, two important methods were discussed for obtaining point estimates: the method of __________ and the method of __________. ANSWER: moments, maximum likelihood 9. Let 1 , , n X X L L be a random sample from a probability mass function or probability density function f ( x ). For k = 1,2,3,, the k th population moment is denoted by __________, while the k th sample moment is __________. ANSWER: 1 ( ),(1 / ) n k k i i E X n X = 10. Let 1 , , n X X L L be a random sample of size n from an exponential distribution with parameter . The moment estimator of is = __________. ANSWER: 1/ X 11. Let 1 2 , , , n L L be the maximum likelihood estimates (mles) of the parameters 1 2 , , , n L L . Then the mle of any function h ( 1 2 , , , n L L ) of these parameters is the function 1 2 ( , , , ) m h L L of the mles. This result is known as the __________ principle. ANSWER: invariance Point Estimation 105 MultipleChoice Questions Section 6.1 12. Which of the following statements are true? A. A point estimate of a population parameter is a single number that can be regarded as a sensible value of . B. A point estimate of a population parameter is obtained by selecting a suitable statistic and computing its value from the given sample data. The selected statistic is called the point estimator of ....
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 Summer '09
 Zahra
 Statistics, Probability

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