C291FE2012_Solutions

# I numerator df terms being dropped 2 denominator df

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i) Numerator df = # terms being dropped = 2; Denominator df = Error df of full model j) No additional comment needed FE2012 A9 “This vegetable question has a ‘getable’ answer” a) H 0 : μ 1 = μ 2 = μ 3 ; H a : Not all the μ i ’s are equal b) A c) C Details and Comments: a) DO NOT WRITE H 0 : μ 1 = μ 2 = μ 3 = 0. You are testing whether the means are all equal, not whether the means are all equal to 0! b) Here is the completed ANOVA Table: Source of Variation SS Df MS F Between Groups 1282.750 2 641.375 23.267 Within Groups 578.875 21 27.565 Total 1861.625 23 c) No additional comment needed 6

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FE2012 A10 “There are 10 types of people in the world; those who understand binary and those who don’t!” a) False; b) False; c) False; d) False; e) False; f) True; g) True; h) True; Details and Comments: a) F. Distributions could be quite different even with the same mean and same SD. b) F. Quartiles are based on area or probability, not SDs c) F. Cannot add SDs! Add the variances and then take the square root. d) F. Correlation coefficient measures degree of clustering around a straight line, not points lying on the straight line e) F. P-value is a probability about the data, not about the null hypothesis! f) T. The residuals must sum to zero; some are above the line, and some are below. g) T. A Type I error can only happen when the null hypothesis is rejected; specifically, when it is incorrectly rejected. h) T. This is the correspondence between the two distributions. BONUS QUESTIONS a) O, T, T, F, F, S, S, E . (First letter of one, two, three, four, five, six, seven, eight) b) 2, 3, 10, 12, 13 , 20 (Numbers starting with “t” in increasing order) c) S, T, N, D, R, D, T, H (Letter in abbreviations: of 1st, 2nd, 3rd, 4th) d) 8, 5, 4, 9, 1, 7, 6, 3 (Number names of digits in alphabetical order) e) IVY, EXCEL, SEEDY, M (Homophones of Roman numerals: Say the words aloud: I, V, X, L, C, D, M) *** END *** 7
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• Spring '10
• E.Fowler
• Null hypothesis, Statistical hypothesis testing

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