# Test1aKEY_Sp09 - Name_KEY 6 February 2009 IE330 Spring 2009...

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Name: _______________KEY_____________________________ 6 February 2009 IE330 Spring 2009 Test 1a No calculators, closed book, closed notes. Do not tear off any pages. Once you are finished, turn in the test and leave quietly. 1 of 10

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Name: _______________KEY_____________________________ True or False questions (5 points each) 1. ( True or False) α is defined as the probability that a type I error could be made. 2. (True or False) β is defined as the probability that the hypothesis test conclusion will be wrong. 3. (True or False) Power is defined as the probability that the null hypothesis will fail to be rejected given that the null hypothesis is false. 4. ( True or False) α is defined as the probability that the null hypothesis will be rejected if the null hypothesis is actually true. 5. (True or False) For H0: µ = 50 vs. H1: µ ≠ 50, if the null hypothesis is rejected at α = 0.05, then we can say that the null hypothesis would fail to be rejected at α = 0.025. Multiple choice questions (5 points each) 6. Suppose we choose two samples from a population. From one sample we construct a 99% confidence interval around our estimate of mean, and from the other sample we construct a 95% confidence interval around our estimate of mean. Which of the following can we say about the two confidence intervals (Choose all that are true)? a. The 99% confidence interval will always be wider than the 95% confidence interval. b. The 99% confidence interval will be wider than the 95% confidence interval as long as the numbers of observations in the samples are the same. c. The 99% confidence interval will be wider than the 95% confidence interval as long as the standard deviations of the samples are the same. d. None of the above is true.
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