Final Exam Dec 2004,omit 7,41,48,50, 59,73,78-89,92,93

Final Exam Dec 2004,omit 7,41,48,50, 59,73,78-89,92,93 -...

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Math 1P98 December 11 2004 page 1 of 17 BROCK UNIVERSITY Final Examination: December 2004 Number of Pages: 23 Course: Math 1P98 Number of Students: 1337 Date of Examination: December 11 2004 Number of hours: 3 Time of Examination: 20:00-23:00 Instructors: D. Miners, J Vrbik, C. Buteau, S Yee Name_______________________________Student Number_________________ First Letter of last name __ Two pieces of coloured 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 with the best answer from the choices given. Answer by shading in the box on the scantron sheet. Also write your answers in this examination paper. However only the scantron sheet will be marked. Both this examination paper and the scantron sheet must be handed in when you are finished. All questions are worth 1 mark except where otherwise specified.
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Math 1P98 December 11 2004 page 2 of 17 1. Which sample of prices has its mean $2 greater than its standard deviation? a. $1, $4, $7 b. $2, $5, $8 c. $7, $9, $12 d. $1, $3, $4 e.$22, $24, $2 2. Which sample of weights, g, has a median 1 g larger than the mode. a. 2,5,1,7,5 b. 3, 2, 4, 3, 6 c, 5, 1, 7, 3, 3 d. 10, 12, 5, 3, 12 e. 5, 3, 8, 2, 2 3. a. b. c. d. Three of the above histograms represent samples of 30 random data from a normal distribution with ì = 50 and ó = 1, 10 and 15. The other one represents the sampling distribution of means of sample size n = 10 taken from a normal distribution with ì = 50 and ó = 10 . Which represents the sampling distribution of means? .......................................................................................................................................... 4-7 . Use the following descriptive statistics data for the next four questions. Descriptive Statistics Variable N Mean Median TrMean StDev SE Mean speed 40 57.24 56.68 56.82 11.54 1.82 Minimum Maximum Q1 Q3 38.93 84.32 49.40 63.73 4. (3 marks) The speed of cars passing a residential area forms a normal distribution. Using the Descriptive Statistics for the measured speed (km/hr) of a sample of these cars, find the 95% confidence interval for the mean car speed in this area. a. 53.7 to 60 .8 km/hr b. 3.58 km/hr c. 54.3 to 61.7 km/hr d. 54.24 to 60.2 km/hr
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Math 1P98 December 11 2004 page 3 of 17 5. For 95% confidence intervals constructed from 80 samples of 40 cars, how many of these confidence intervals would be expected to include the population mean speed? a. 95 b. 38 c. 4 d. 76 e. 47 6 . (3 marks) Calculate the total number of cars that would have to be sampled to be 98% sure of being within 4 km/hr of the population mean speed . a. 40 b 44 c. 45 d. 46 e. 47 7. Suppose you have a boxplot for the given car-speed data a. the upper whisker is longer than the lower one b. the inter-quartile range is equal to the length of one whisker c the lower whisker is longer than the upper one d. the box is disconnected from the whiskers e. the box is centrally located in the box plot ...........................................................................................................................................
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Final Exam Dec 2004,omit 7,41,48,50, 59,73,78-89,92,93 -...

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