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Trial EXAMINATION third quarter with answers

# Trial EXAMINATION third quarter with answers - EXAMPLE OF...

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EXAMPLE OF EXAMINATION “Mathematics and Statistics” FIRST YEAR IBMS 1

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Questions Statistics 1 (16 points) (Index numbers) Mark these data about price and quantity development about some consumer package: 2001 2002 good or service price quantity price quantity rent heating electricity lamps water 3400,00 0,25 0,20 1,60 0,80 1 4100 2100 10 150 4400,00 0,30 0,20 1,40 0,90 1 3700 2700 15 180 a. (8 pnt ) Calculate the quantity-index of Paasche of the above package for 2002 (with 2001 = 100), rounding on one decimal . ((4400x1) + (0,30x3700) + (0,20x 2700) + (1,40x15) + (0,90x180)) divided by ((4400x1) + (0,30x4100) + (0,20x 2100) + (1,40x10) + (0,90x150)) = 6233/6199= 1,005 ANSWER 100,5 b. (8 pnt ) Calculate the price-index of Paasche of the above package for 2002 (with 2001 = 100), rounding on one decimal . ((4400x1) + (0,30x3700) + (0,20x 2700) + (1,40x15) + (0,90x180)) divided by ((3400x1) + (0,25x3700) + (0,20x 2700) + (1,60x15) + (0,80x180)) = 6233/5033 = 1,238, ANSWER 123,8 2
QUESTION 2 (5 points) A marketing researcher investigates the preferences of 500 Dutch beer drinkers, asking their favourite brands and the region (three regions possible) where they live, with the following results (the interviewed persons are spread “representatively” over, North, East and West): North East West Total Preference for Heineken 25 20 140 185 Preference for Grolsch 35 70 80 185 Other preference 20 30 80 130 Total 80 120 300 500 Calculate (with the table) the chance, that someone who does not come from “West” prefers Grolsch. (Answer in percentage, rounding on one digit (xx.x %); include way of calculating) (5 points) (35+70)/(80+120) = 52.5 % 3

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QUESTION 3 (14 points) In an enormous box 85% of the products is “good” and 15% is false. Suppose we take
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Trial EXAMINATION third quarter with answers - EXAMPLE OF...

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