MATH1711_09

MATH1711_09 - Durham University EXAMINATION PAPER date exam...

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Durham University EXAMINATION PAPER date May/June 2009 exam code MATH1711/01 description Time allowed: 3 hours Examination material provided: Graph paper. Normal distribution table. Instructions: Credit will be given for the best SIX answers. All questions carry the same marks. Use a separate answer book for each Section. Approved electronic calculators may be used. Visiting Erasmus students are permitted dictionaries. ED01/2009 Durham University Copyright continued
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page number 2 exam code MATH1711/01 SECTION A Use a separate answer book for this Section. 1. We consider an experiment designed to investigate the effects of the recipient on the growth of two species of eucalyptus seedlings (Sim˜ oes, 1970). The recipients (R) and species involved (E) were: R 1 large plastic bag R 2 small plastic bag R 3 plain E 1 Eucalyptus citriodora E 2 Eucalyptus grandis The observed response is the average seedling height per recipient after a period of 80 days. For each treatment four replicates were produced. The data are reported below in form of a two-way-layout: Recipient Species E 1 E 2 R 1 26.2 26.0 25.0 25.4 24.8 24.6 26.7 25.2 R 2 25.7 26.3 25.1 26.4 19.6 21.1 19.0 18.6 R 3 22.8 19.4 18.8 19.2 19.8 21.4 22.8 21.3 (a) Carry out mean polish to estimate the overall mean, the effects of species and recipient, and the interaction effects. (b) The overall standard deviation of the response is 2 . 94. Complete the following ANOVA table and give an interpretation. Recipients ?? Species 19.08 Interaction 63.76 Residuals 23.09 Total ?? ED01/2009 Durham University Copyright continued
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page number 3 exam code MATH1711/01 2. The following data set represents three-month certificate of deposit (CD) rates for 69 Long Island banks, as given in the August 23, 1989, issue of Newsday . The first 29 observations (displayed in the first three rows below) correspond to commercial banks, while the other ones correspond to thrift (Savings and Loan) institutions. 7.56 7.57 7.71 7.82 7.82 7.90 8.00 8.00 8.00 8.00 8.00 8.00 8.00 8.05 8.05 8.06 8.11 8.17 8.30 8.33 8.33 8.40 8.50 8.51 8.55 8.57 8.65 8.65 8.71 7.51 7.75 7.90 8.00 8.00 8.00 8.15 8.20 8.25 8.25 8.30 8.30 8.33 8.33 8.34 8.35 8.36 8.40 8.40 8.40 8.40 8.40 8.40 8.45 8.49 8.49 8.49 8.50 8.50 8.50
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This note was uploaded on 02/04/2011 for the course MATH 1711 taught by Professor Dru.picchini during the Spring '11 term at Durham.

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MATH1711_09 - Durham University EXAMINATION PAPER date exam...

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