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DAMS_StatsM

# DAMS_StatsM - DURHAM UNIVERSITY Department of Mathematical...

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DURHAM UNIVERSITY — Department of Mathematical Sciences COLLECTION 2010 DAMS and Statistics MATH1711 and MATH1541 Name: College: Time allowed: 45 minutes. Answer all questions in the space provided. Approved electronic calculators may be used. 1. Data was collected to study how the time taken to refill a soft-drink vending machines relates to the number of cases required to fill the machine and the distance from the delivery truck to the machine. The results of a sample of 25 refills can be summarised as follows: Variable Mean Standard deviation Distance (feet) 331 · 8 180 · 3 Number of cases 8 · 2 5 · 4 Time (minutes) 29 · 0 15 · 9 The regression equation for predicting refill time from distance and number of cases was found to be: Predicted time = 2 . 3 + 0 . 0124 × Distance + 2 . 7 × Cases Give an assessment of the relative importance of the distance and the number of cases for making predictions of refill time. 2. The following data are the heights (in inches) of 6 married couples: Wife 66 64 66 65 70 65 Husband 72 68 70 68 71 65 The mean height of the wives is 66 inches and the standard deviation is 2.1 inches. The mean height of the

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