SolutionsHwk7 - BTRY 601 Solutions Homework#7 Fall 2005 Due Friday before class Name(last name first upper case letters General Guidelines Write

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BTRY 601 Solutions, Homework #7 Fall 2005 Due Friday, 11/04/2005 before class Name ( last name first , upper case letters)______________________________ General Guidelines: 9 Write down your name above (use upper case letters) 9 Check your computer lab # in the table below. 9 Make sure to type your solutions. 9 Please use JMP for data analysis (as necessary) and only attach relevant output to each question. This cover page must be stapled to each homework assignment you turn in. It is the front page of your homework. Please, check your lab section in the space provided below (Column #1). Lab # Day Time Location TA 1_____ Monday 0730-0845PM WN160 Matthias Kormaksson 2_____ Monday 0730-0845PM WN B60 Hong Gao 3 Canceled Tuesday 1010-1125AM WN B60 4_____ Tuesday 0840-0955AM WN B60 Elizabeth Schifano 5_____ Tuesday 0255-0410PM WN B60 Michael Grabchak 6_____ Tuesday 0255-0410PM RR 160 David Clement 7_____ Tuesday 0730-0845PM WN 160 Michael Grabchak 8_____ Monday 0300-0415PM RR 163 David Clement Note: Students’ solutions to a few selected questions are posted at http://www.duxbury.com/statistics_d/ . A zipped file is available for download. Students’ solutions are also posted on our course web site and can be accessed by clicking on the Homework link. Grading Sheet Maximum Points Obtained Points 100 1
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BTRY 601 Solutions, Homework #7 Fall 2005 Unless otherwise indicated, use JMP to do the following exercises from An Introduction to Statistical Methods and Data Analysis (Ott and Longnecker, 5 th Edition, 2004) . Please only attach the relevant portion of the output under each sub-question whenever applicable . For any unnecessary JMP output, points will be deducted. Exercise 8.6 (a), (b), (c), (d), p. 413: 8 points (a) Graphical and statistical tests to assess adequacy of ANOVA conditions. Yield 5 10 15 20 25 30 35 40 45 50 A B C DE Variety Test F Ratio DF Num DF Den P-value Levene 5.2143 4 30 0.0026 Bartlett 3.8782 4 . 0.0037 2
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BTRY 601 Solutions, Homework #7 Fall 2005 The boxplots show that all varieties except E are right-skewed. However, it is difficult to assess normality with small sample sizes. The normal probability plot of residuals clearly indicates that the assumption of normality is satisfied (p- value = 0.1582). The Levine’s (F = 5.2143, p-value = 0.0026) and Bartlett’s (F = 3.8782, p-value = 0.0037) tests both yield highly significant unequal variances. Thus, there are significant differences between the five varieties’ variances. (b) Analysis of variance table. Source of Variation DF SS MS F-test P-Value Varieties 4 1096.7429 274.18571 3.729693 0.014 Error 30 2205.4286 73.514286 0.0140359 C. Total 34 3302.1714 Reject if o H α =≥ = 4,30 0.01,4,30 If p-value < 0.01or if 4.017877 FF . Since or since p-value = 0.014 > 4,30 0.01,4,30 3.73 4.017877 =< = 0.01 = we fail to reject and conclude there are no significant differences between the mean yield of the five varieties. 0 H (c) The Kruskal-Wallis yield 10.01 H = ' with p-value = 0.04 > 0.01 = . Thus, fail to reject and conclude there is no significant difference in the distributions of the yields for the five varieties. o H Chi-Square DF P-value 10.0114254 4 0.04023566 (d) The only difference in the conclusions is that the p-value for the F-test is somewhat smaller than the p-value for the Kruskal-Wallis test.
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This homework help was uploaded on 09/28/2007 for the course BTRY 6010 taught by Professor Wells,m. during the Fall '05 term at Cornell University (Engineering School).

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SolutionsHwk7 - BTRY 601 Solutions Homework#7 Fall 2005 Due Friday before class Name(last name first upper case letters General Guidelines Write

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