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Mid-Term-2011_answerkey - GEOG 006 Statistical Methods in...

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Unformatted text preview: GEOG 006 Statistical Methods in Geography MID-TERM TEST February 16, 2011 Name: Student Number: Instructions: 1. Be sure to write in your name and student number. 2. This exam is worth 20% of your final grade. 3. Answer all questions: marks per question are shown in parentheses. 4. Unless otherwise indicated, provide all answers to two decimal places. Part A: Fill in the blanks 1. What does spss stand for? statistics @0535 F0( 50ml Seminal; (2) 2. in a data table, we usually put “ANN“ into columns, and (003’ can: into rows. (2) 0f “1364's 3. indicate each of the following examples as either Primary or Secondary data: a. Information extracted from a topographic map: $00“th (1) b. Water samples you collected from the Rideau River: (”MM (1) c. A remote-sensing image: Sued“; (1) d. A table of employment rates by city that you found in a published paper: Sammy (1) e. Results from a questionnaire that you designed, distributed, and collected: Bowery (1') 4. There are three ways of numerically expressing probabilities : give any two a. Eerie/«1‘ (1) b. Prowl?” (1) Frachm 5. You are given a list of 20 countries and a range of data associated with each. Indicate the level (or category) of data for the following: a. The population of each country Elihu (1) b. The predominant religion of each country Nomml .(1) c. The level of economic development (highly developed, somewhat developed, under developed) (Initial (1) d. Year that the country joined the United Nations In EN“ ( (1) eL Percentage of the population living in a rural area Ratio (1) 6. The average numerical final grade for students in Geography 2006 in the Fall of2010 was 70.2, and the standard deviation was 14.3. Calculate the z—scores for the following two students: a. StudentAwho scored 69: " 00$ (1) ((140.1)fluig :: b. Studenthho scored 92: L51 7 (1) “Lion/NJ :. 7. What do we use these formulae to calculate? (1 mark each) axi/n Meani M S Lawns: 3 710' Sp="P;1:ip) SHMAIJ Univ 0* WC Sfiwpk— yaporl‘la“. "’li‘ by NM> Part B: Problems 1) Using the data in the following table, draw: a) a bar graph, and b) a histogram in the boxes provided. Remember to label the axes! (8) —> W) 93- ‘asses‘ F L film Nod/M l' luv/$1.1 ‘ (govll‘l—fi ll Ho-l‘t‘ifl yo KO 'lmt (to 4614 I}: 4H" (gr; at)“ Ma "WM 1m ~ L013 a. .. lint-— -Faria —132 “5-- Bar Graph Histogram he no Ho Ho m 16:» Flo lxo no mm m w 2) Calculate, by hand, the median of the 10 student weights listed in the question above. (3)1904? r—f" In order: “5,1291%, 1‘11, llo, ill, 1%, (32, In W, Mimi. hava‘vts’ 2: 2:1 : (O’H :55 L 2 Muir“: "70:16? 3 [6% 3) Calculate, by hand, the standard deviation of the following five numbers: 18, 16, 13, 17, 21. Show all your steps. (5) :(‘i'fll ' i =12+l6+l2+14+u o" = n v _ 4 g , U (l?-ill,)7'+(|¥~ l6 3210143 V+(r+—l1)‘+0?-ll) 7’ ‘7’ , M b, , :1](:1)L+(I)1+C‘l)l.i(o)t+(_w; _ 5 : ‘i+(+ie+o+le 1 3,” : (,1 = 2.51 W 11—? s . 0161‘ ). 4) if we take a sample of 20 dairy farms in Eastern Ontario and record the daily milk production of each, we find that the average daily milk production of this sample is 4730 litres (we already know that the standard deviation of all dairy farms is 728 litres). Complete the following (show your work in the space provided): a. The standard error is [6 2% (2) 0, I? = 2’28 ’ WK , " 7 ’ —/ ' (62,86 120 tit? b. The true (population) average lies between Lt§11,5‘( & ’ Hols?!“ at the 80 % confidence level. (2) (,1. = W30 iii/M16234 :me Hing - Mg “62% “-4519, c. The true (population) average lies between WHO fol & SOMZO at the 95 % confidence level. (2) (.1 1 WM lifts Ml!“ #04120 : Lino ;. tom iml = Ll‘llolfi d. The true He. tion) average lies between ITS/435$ & LUNA“! aw (2 _ "—“” m. . ) / CL . W30 + mums ., mm ”Hao , mullet zones or $4091 "ii 0.33 : 0% {K 5) Below are some probabilities for people in their 20’s attaining these respective achievements by the age of 30. (0 Buy their own house: 0.10 C) Get Married: 0.50 b) Find a permanent job: 0.25 4) Travel the world: 0.05 a. What is the probability that someone in their 20’s will BOTH get married and buy their own home by the age of 30? (2) P(q+g) a O.l0x0.$0 = 0.05 : 5% I‘\ QM «c is- Lvl «‘50 amt/A OZ; b. What is the probability that people In their 20’s will EITHER find a permanentjob OR travel the world? (2) P0, on I) : O-Z§+0.0§ = 0.3 s 30% c. What Is the probability that someone in their 20' s will achieve all four by the age of 30? (2) FOI L ’rLl‘d) = (7.] XOL§ X OSX 0.0g : 000.061? of 0,065.70 6) Draw a perfectly normal frequency distribution curve, label the axes, and show the position of the mean, median, and mode. Egg show the proportions of the curve which lie between +/- 1, 2, and 3 standard deviations from the mean. Also sketch a positively and a negatively skewed curve, and show the relative positions of the mean, median, andmode on each. (12) silxvd 1W LP ”Mu-n 7) in the bionomial probability distribution: (j) What is p ”[91“ny (67a Nuts. (1) (ii) What is q [mighty 4‘ f“; [’M‘ (1) (iii) What is n mmlu 4 trials. (1) (iv) Expand (p'+q)5 using the Pascal’s Triangle provided (6) C , r . (PHI) — )PCV b Fi+l0P11+ IOPV 6p¢L+ l m, - 5 \ - ' 7' 2. ‘1 5 'P +6Pti+ log“ loF fl 6m+ 1’ (v) Which term would you evaluate to calculate the probability of 3 out of 5 successes? (1) 'Of3‘lz 8) A major hurricane is a hurricane with wind speeds of 111 miles per hour or greater. During the 20th century, the mean number of major hurricanes to strike the US. mainland per year was 0.7. Find the probability that in a given year a) exactly one major hurricane will strike the US. mainland, and b) more than one major hurricane will strike the US mainland. (e = 2.718) (6) - l l 0.4 ; Ll) FCOSCX)? ;(O?)27l30'? W 63% or 3170 L (O)1 ._‘/ :1 J/ 9 4 O l r MW <35 50) F10) +770) = O.§o+o.$t( : 0,37 {Lt Whizlfit} Momma one; 3;” («05W s 0le of. 76 ‘70. 6/lt 9) Name and discuss three different sampling procedures that we went over in class. (9) ...
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