exam1 - IE 121 Spring 2002 Midterm exam 1 1(30 points In...

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IE 121 – Spring 2002 Midterm exam 1 1. (30 points) In this problem, you need to answer the following questions TRUE or FALSE inside the brackets: 1. ( ) Any unbiased estimator always gives a smaller mean square error than an unbiased one. 2. ( ) The standard error of an estimator ˆ Θ is its standard deviation. 3. ( ) If X 1 ,X 2 ,...,X n is a random sample of size n ( n > 50) taken from a population with exponential distribution, then the sample mean ¯ X also follows the exponential distribution. 4. ( ) Suppose that a random sample of size n is taken from a normal population with mean μ . Then the mean of the sample mean is μ . 5. ( ) Suppose that a random sample of size n is taken from a normal population with variance σ 2 . Then the variance of the sample mean is σ 2 . 6. ( ) Failing to reject the null hypothesis when it is false is deﬁned as a type I error. 7. ( ) There is no way to reduce the probability of both type I and type II error simultaneously if the sample size is ﬁxed.

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This test prep was uploaded on 02/26/2008 for the course IE 121 taught by Professor Perevalov during the Spring '08 term at Lehigh University .

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exam1 - IE 121 Spring 2002 Midterm exam 1 1(30 points In...

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