CEE 110 09 Monday Final and Solutions

CEE 110 09 Monday Final and Solutions - UNIVERSITY OF...

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Page 1 of 12 UNIVERSITY OF CALIFORNIA, LOS ANGELES Civil and Environmental Engineering Department CEE 110 Introduction to Probability and Statistics for Engineers Spring Quarter 2009 M-W 2-4 PM Math Science 4000A Prof. K. D. Stolzenbach 5732J Boelter Hall, 206-7624 [email protected] Final Exam (Monday June 8, 2009) Students are allowed to bring two pages (both sides, approximately 8.5 × 11 inches) of summary notes with them into the examination room. No other material such as textbooks, class notes, or homework is permitted. The exam has four problems with multiple parts. The credit for each part is indicated. Before you start, make sure all pages of your examination are legible. If you have to leave the room for any reason during the exam, please do so quietly without asking. If you have a question during the exam, raise your hand and, if you are in the center of a row, come to the side aisle. Full credit will be given for answers that are worked out correctly, even if the numerically correct answer is not obtained. You may leave your answer in terms of a correct symbolic equation if you like. To obtain credit, be sure to show as much work as possible! There are no long or tricky answers. If you find yourself doing anything long or tricky, stop and reevaluate your approach. Useful formulas and tables are included at the end of the exam.
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Page 2 of 12 1. For each of the following cases give the reason that conditions for the proposed test are NOT met ( note: answering these questions should not require any computation ): 2% a) z-test for confidence interval for proportion of concrete deliveries that meet specifications based on the following samples of deliveries: Number of samples meeting specs 16 Number of samples not meeting specs 4 Total number of samples 20 2% b) t-test for confidence interval for the mean of zinc concentration in runoff based on the following samples of runoff: 0 1 2 3 4 5 6 7 12345678 Zinc Concentration ( μ g/L) Number of Samples 2% c) Linear regression between concrete strength and cure time based on the following samples: 0 10 20 30 40 50 024681 0 Cure Time (Days) Srength (psi) 2% d) ANOVA test on samples of concrete strength from four labs with the box plot below: 1 2 3 4 0 10 20 30 40 50 Concrete Strength (psi) Lab Number
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Page 3 of 12 2. A survey conducted of 100 beaches in California determined whether the beaches were open to the ocean or not and whether they were ever closed for water quality violations. The survey found that 60 percent of the beaches were open to the ocean and 20 percent had been closed for water quality violations. Beach closure occurred at 15 percent of the beaches that were open to the ocean. 7% (a) Fill in the missing numbers in this bivariate contingency table summarizing the survey results. Open to Ocean Not Open to Ocean Total Closed Not Closed Total 100 7% (b) If a beach has been closed, what is the probability that it is not open to the ocean?
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This note was uploaded on 10/22/2011 for the course ENG 101 taught by Professor Yukov during the Spring '11 term at UCLA.

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CEE 110 09 Monday Final and Solutions - UNIVERSITY OF...

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