Final Exam Dec 2003

# Final Exam Dec 2003 - Math 1P98 December 10 2003 BROCK...

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Math 1P98 December 10 2003 page 1 of 19 BROCK UNIVERSITY Final Examination: December 2003 Number of Pages: 19 Course: Math 1P98 Number of Students: 1405 Date of Examination: December 10 2003 Number of hours: 3 Time of Examination: 9:00- 12:00 Instructors: D. Miners, E. Muller, M. Huang, R. Saskin, S.Yee Name_______________________________Student Number_________________ First Letter of last name __ Two pieces of yellow paper, containing hand writing and nothing glued, attached, printed or photocopied on this paper, and a calculator with two or less lines of display are the only aids permitted. Graphing calculators are not allowed. Use or possession of unauthorized materials will result in a grade of zero for this examination. Also note that in order to pass this course you must obtain at least 30% on this examination. Answer all questions, marks are shown in [ ]. 1 /4 8 /14 2 /4 9 /9 3 /11 10 /10 4 /7 11 /14 5 /18 12 /17 6 /20 13 /4 7 /8 Total / 140

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Math 1P98 December 10 2003 page 2 of 19 [4] 1. Descriptive Statistics Variable N Mean Median TrMean StDev SE Mean C1 500 12.432 12.000 12.424 1.745 0.078 Minimum Maximum Q1 Q3 10.000 15.000 11.000 14.000 The Descriptive Statistics table shows the results of generating random integers with Minitab to simulate tossing a six sided special dice 500 times. a. What numbers appear on the sides of the dice? b. Consider 4 throws of this dice. Write down four numbers from these throws that would result in a median of 12. (There are many correct answers) c. Draw a boxplot of the data of the simulation of 500 throws. [4] 2. The histogram shows random data generated by Minitab from a normal distribution with mean 50. a. The class boundaries of the modal class are. ........................... b. The sample size is . ........ c. The mean of the sample data is . ......... using formula ........................................
Math 1P98 December 10 2003 page 3 of 19 [11] 3 . The times to cook a sample of frozen fish and a sample of thawed fish in a fry pan was measured (mins). Frozen 4.5, 6.2, 3.4, 5.1, 4.5 Thawed 3.2, 2.5, 4.1, 3.7, 3.8, 4.3 Assume the cooking times are normally distributed with equal population variance. a. The mean time for the frozen fish is . ................ the standard deviation is . ......... and the mode is . ............... The mean time for the thawed fish is . ...... and the standard deviation is . ............... b . Construct a 90% confidence interval for the difference in population mean cooking times. Formula and calculation 90% confidence interval . ...................... [7] 4. At the traffic circle near the Mathematics Department vehicles may yield and enter the circle and do not need to stop. The probability a car will stop before entering the traffic circle is 0.7. Consider a random sample of 10 cars approaching the traffic circle. a. Find the probability that exactly 9 stop.

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## Final Exam Dec 2003 - Math 1P98 December 10 2003 BROCK...

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