hw1sol

# hw1sol - The Hong Kong University of Science and Technology...

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Assignment 1 Suggested Solution 1 The Hong Kong University of Science and Technology ISOM 111 - Business statistics, Fall 2010 Lecture Section 5 & 6 (Prof Inchi HU) Assignment 1 (Problem Sheet 1: #1 & #2. Q3 & Q4) Solutions 1. (a) Stem-and-Leaf Plot Leaf Unit = 0.10 6 033 6 7 344 7 58899 8 3 8 589 9 0 9 5 10 3 10 5 11 11 12 1 OR Leaf Unit = 0.10 6 033 7 34458899 8 3589 9 05 10 35 11 12 1 (b) Mean =8.275 (thousand km) Median = (10th+11th)/2 = 7.9 (thousand km) (c) Standard deviation: s = 1.508179 (thousand km) (d) % 100 × = x s CV CV of international routes = 18.2257% CV of domestic routes = 42.234% Therefore, domestic routes have higher relative variation. (e) (i) x i i + × = = 8 275 20 0 6026 15 174 539 1 35 .. . combined mean = 174.539/35 = 4.9868 (thousand km) (ii) For domestic routes, () 02545 1 15 1 1 15 15 06026 63537 2 1 15 2 2 . = −× ∴= = x x i i i i=1 15 For international routes, 73 . 1412 2 = i x For the combined samples, 0837 . 1419 73 . 1412 3537 . 6 35 1 2 = + = = i i x = 2 539 . 174 35 1 0837 . 1419 34 1 s = 4.0172 (thousand km)

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hw1sol - The Hong Kong University of Science and Technology...

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