FinalExam_Practice_WithSolutions Dec05

FinalExam_Practice_WithSolutions Dec05 - IMSE 213 Final...

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IMSE 213 Final Exam_Dec 2004 Name: ________________________ Final Exam for IMSE 213, Chapters 9 and 10 You may use the "cheat sheets" I created. You may make notes on the printed sides, only. Total poin You may not use your text, HW papers or any other materials I have not handed out to you. 106 You may not share pencils, pens, paper, cheat sheets or calculators. If you believe information is missing, state clearly what you are using in its place. A "yes" or "no" answer will receive a zero unless backed up with statistical proof. Show your work, especially equations used, limits for summations and intergrations, etc. Assume a reasonably normal distribution unless it is obvious that it is binomial or some other distribution from the problem statement. No. Problem statement 1 For the following confidence intervals, tell whether to reject the null hypothesis or not: Ho Confidence Interval Reject Ho (Y or N)? 3 a) σ = 0.9 1.01 < σ < 2.01 y 3 b) σ 1 = σ 2 0.5 < σ 1 / σ 2 < 0.9 y 2 For the following statistics , fill in the blanks : 5% H o H 1 Known Distribution should be used to evaluate Ho 3 a) σ 1 = σ 2 σ 1 > σ 2 s 1 , s 2 , n 1 , n 2 F 3 b) μ = 2 μ < 2 s, x , n t 3 c) σ = -0.5 σ <> -0.5 σ , s, n χ 2 3 d) μ = 0 μ <> 2 σ , x , n Z (c) 2004-2005 Steven Guffey, PhD 1 12/12/2006
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IMSE 213 Final Exam_Dec 2004 Name: ________________________ 3 Express the null and alternate hypotheses for each case given below a) You wish to be certain that the true mean value is greater than 1.8 1 Null: H o : μ = 1.8 1 Alternate: H 1 : μ > 1.8 b) A vendor claims that the standard deviation of his errors are much lower than 1.4 , the typical value. You wish to be certain he is right. 1 Null: H o : σ = 1.4 1 Alternate: H 1 : σ < 1.4 5 4 We are trying to determine how many samples are neede in a study to determine how much severe childhood illnesses reduce adult height. It is widely believed that the reduction is 1.5 cm. We will not reject the null hypothesis without a certainty of at least 95% . We also want a 90% certainty that we would not accept the null hypothesis if the true reduction were actually 2.5 cm. The population standard deviation is 3 cm.
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This note was uploaded on 04/03/2009 for the course IENG 213 taught by Professor Staff during the Spring '08 term at WVU.

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FinalExam_Practice_WithSolutions Dec05 - IMSE 213 Final...

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