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Unformatted text preview: ENGRD2700 Basic Engineering Probability and Statistics Spring 2009 Homework 9: Prelim Review and Univariate Hypothesis Testing. Hand in by 1:30 pm on Friday, April 17 in the ENGRD2700 dropbox. Be sure to write your name and section number (1–6) on your homework. Make sure that your homework pages are stapled together. This homework has 10 parts. NOTE: Your answers will be graded on the clarity of your writing as well as the correctness of the answer. You must show your work to receive full credit. Any work that you submit must be your own. These questions from the prelim are worth considering again, now with adequate time. 1. A random (iid) sample of size n = 10 from a normally distributed population with an unknown mean μ and variance σ 2 yielded a sample mean of 19.6 and a sample variance 9.2. (a) Compute a one-sided (lower) 95% confidence bound for σ . (b) You know that a large population variance σ 2 will likely mean more work for you in follow-up studies. You are interested in testing whether the population variance is 6, or whether it is significantly greater than 6. Formally write down your null and alternative hypotheses. Identify your test statistic. Describe the rejection region for a one-sided α = 5% level hypothesis test.= 5% level hypothesis test....
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- Spring '05
- Normal Distribution, DeVore, population variance, Basic Engineering Probability, Univariate Hypothesis Testing, large population variance