t2 - Stat 5102 Second Midterm Exam April 9, 2003 Name...

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Unformatted text preview: Stat 5102 Second Midterm Exam April 9, 2003 Name Student ID The exam is open book and open handouts. You may also use one 8 1 2 × 11 sheet of paper with formulas, etc. You may use a calculator. Put all of your work on this test form (use the back if necessary). Show your work or give an explanation of your answer. No credit for numbers with no indication of where they came from. The points for the questions total to 100. There are 2 pages and 4 prob- lems. 1. [25 pts.] Suppose X is a Binomial( n,p ) where n is known and p is an unknown parameter satisfying 0 < p < 1. (a) Give an asymptotic (large sample, approximate) 95% confidence interval for p . (b) Suppose n = 40 and x = 4. What does your confidence interval work out to in that case? 2. [25 pts.] Suppose X is a Exponential( θ ) random variable where θ is an unknown parameter satisfying θ > 0. Suppose we wish to test the hypotheses H : θ = 1 H 1 : θ < 1 The the sensible test statistic is just X , so we reject H when X ≥ c for some critical value...
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This note was uploaded on 10/28/2010 for the course STAT 5101 taught by Professor Staff during the Spring '02 term at Minnesota.

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t2 - Stat 5102 Second Midterm Exam April 9, 2003 Name...

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