INSTRUCTIONS: 1. This exam consists of 5 questions.  Answer ALL the questions. 2. Follow the instructions regarding the submission of your answers carefully. 3. Number the answers correctly according to the numbering system used in this exam. 4. You may use an approved (non-programmable and non-graphical) calculator. 5. Show ALL calculations clearly. 6. Round all answers according to the given context, unless otherwise stated. 7. Indicate units of measurement, where applicable. 8. Maps and diagrams are NOT drawn to scale, unless stated otherwise. 9. Graphs and scale drawings MUST be drawn by hand. 10. Only PDF formats will be accepted as file uploads. When photographs and scans are used please ensure that the images are CLEAR and READABLE. Only upload ONE document. 11. Name the uploaded document correctly. Use the following format: MLIT GR12E T2 SBA005b NAME SURNAME 12. Please submit this quiz before uploading your answers in the upload quiz. 13. No submissions will be accepted via email. Submissions not done in this exam will not be marked.    

TOTAL QUESTION 3 : [9] 

VRAAG 4 Bestudeer die tabel hieronder oor die uitgawes wat die regering aan die kriminele regstelsel spandeer beantwoord die vrae wat volg.   Regter kliek die onderstaande knoppie om die Uitgawes wat die Regering aan die kriminele regstelsel spandeer oop te maak.   4.1 Waaroor handel die tabel? (2) 4.2 Hoeveel geld is op Korrektiewe dienste spandeer in 1980? (2) 4.3 Is die data diskreet of deurlopend? Motiveer jou antwoord. (3) 4.4 Bepaal die gemiddeld van die bedrae geld wat aan die regsstelsel spandeer is tussen 1980 en 2006? (3) 4.5 Bepaal die mediaan bedrag geld wat aan die regstelsel spandeer is tussen 1980 en 2006? (2) 4.6 Watter mate van verspreiding, – die gemiddeld of die mediaan – verduidelik die situasie die beste.  Motiveer jou antwoord. (3) 4.7 Rond die regering se uitgawe aan Polisie in 2000 af na die naaste 100 000. (2) 4.8 Gee twee voorbeelde van moontlike uitgawes wat die regering kan hê wanneer dit by korrektiewe dienste kom (2) 4.9 Watter persentasie van die totale uitgawes wat spandeer is, is op die Polisie spandeer tussen 1980 – 2006?  Rond jou antwoord af na twee desimale getalle. (4) 4.10 Bereken die persentasie verhoging wat die regering op die regstelsel spandeer het vanaf 1980 tot 2000. Maak gebruik van die volgende formule om jou antwoord the bepaal:   % verhoging =   x 100 (3)

TOTAAL VRAAG 4 : [26]

TOTAAL VRAAG 3 : [9] 

Dylan believes that male students in Math 171 are shorter than 6 feet (72 inches), on average. He selects a random sample of 40 of these students and measures their heights. He will use a one-sample -test to test analyze these data. Verify that the conditions on the sample are met to use this test.  

Below you are given the histograms of the test scores for three professors – Professor A, Professor B and Professor C – who teach large sections of statistics classes. Note that the histograms are drawn using the same scales for the horizontal and vertical axes. Please answer the following questions. a.  Which professor had the largest mean (largest average) test score for their students?  [largestmean] b.  What was the value of the largest mean, approximately?  [valuemean] c.  Which Professor had the most variation (largest standard deviation) in their test scores for their students? [mostvar] d.  Which Professor had the highest percent of students who earned a test score of 50 or lower?  [highpercent]    

Below is a histogram of light bulb lifetimes from a simple random sample of 30 light bulbs. Note that the vertical axis is given in count (i.e., number of bulbs). Assume that no data point fell exactly on a class (i.e., bin) boundary. Please answer the following questions: a.  Which is the best descriptor of the “shape” of the distribution of light bulb lifetimes?  [shape] b.  The mean is [pickone] than the median.   c.  What percent of the light bulbs in the sample lasted less than 1100 hours? [percent]   d.  Which of the following classes contains the median light bulb lifetime?  [median]

Below is a boxplot of student exam scores a recent O.W.L. exam at Hogwarts for Professor Snape’s and Professor Sprout’s students. Use it to answer the following questions. a.  Which professor’s students had the smaller exam average (mean) score?  [mean] b.  Which professor’s students had more variation (i.e. a larger standard deviation) in their exam scores? [variation]

Below is a boxplot of student exam scores a recent O.W.L. exam at Hogwarts for Professor Snape’s and Professor Sprout’s students.  Please answer the following questions. The middle 50% of Professor Sprout’s students’ scores were between (give answers as whole numbers)  [lower] and [upper].