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Unformatted text preview: Practice Questions 6 QUESTIONS 1 THROUGH 3 ARE BASED ON THE FOLLOWING INFORMATION: Let 1 X , 2 X , 3 X , and 4 X be a random sample of observations from a population with mean and variance 2 . Consider the following two point estimators of : 1 ˆ = 0.10 1 X + 0.40 2 X + 0.40 3 X + 0.10 4 X and 2 ˆ = 0.20 1 X + 0.30 2 X + 0.30 3 X + 0.20 4 X 1. Which of the following is true? A) 1 ˆ is biased, but 2 ˆ is unbiased estimator of . B) 1 ˆ is unbiased, but 2 ˆ is biased estimator of . C) Both 1 ˆ and 2 ˆ are unbiased estimators of . D) Both 1 ˆ and 2 ˆ are biased estimators of . 2. Which of the following is true? A) Var ( 1 ˆ ) = Var( 2 ˆ ). B) Var ( 1 ˆ ) > Var( 2 ˆ ). C) Var ( 1 ˆ ) < Var( 2 ˆ ). D) Cannot tell the relationship between Var ( 1 ˆ ) and Var ( 2 ˆ ). 3. Which of the following is true? A) The relative efficiency of 2 ˆ to 1 ˆ is 0.67. B) The relative efficiency of 1 ˆ to 2 ˆ is 1.30 C) 1 ˆ is the more efficient estimator of than 2 ˆ . D) 2 ˆ is the more efficient estimator of than 1 ˆ . 4. In a recent survey of 600 adults, 16.4% indicated that they had fallen asleep in front of the television in the past month. Which of the following intervals represents a 96% confidence interval for the population proportion? A) 0.137 to 0.192 B) 0.140 to 0.189 C) 0.133 to 0.195 D) 0.143 to 0.186 5. The amount of material used in making a custom sail for a sailboat is normally distributed. For a random sample of 15 sails, you find that the mean amount material is 912 square feet, with a standard deviation of 64 square feet. Which of the following represents a 99% confidence interval for the population mean amount of material used in a custom sail? A) 912 49.2 B) 912 42.6 C) 912 44.3 D) 912 46.8 6. Let 1 X , 2 X , 3 X , and 4 X be a random sample of observations from a population with...
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This note was uploaded on 04/13/2008 for the course ECON 329 taught by Professor Yilmaz during the Spring '08 term at University of Texas at Austin.
 Spring '08
 YILMAZ

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