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].  

Identify which hypothesis test is appropriate for each of the following scenarios. A local driver training school claims that at least 75% of its pupils pass the driving test on their first attempt. A sample of 60 students from the school are selected, and their performances on the driving test are noted. We wish to determine if the claim of the school is true. [prop] The daily wages in a particular industry are normally distributed with a mean of $13.20 and a standard deviation of $2.50. A company in this industry employs 40 workers and pays a daily wage, on average, of $12.20. We wish to determine if this company can be accused of paying inferior wages. [z] Suppose that the national average price for used cars is $10,192.  A manager of a local car dealership reviewed a random sample of 25 recent used car sales at the dealership and found the mean was $9750 and the standard deviation was $1400. We wish to determine if the price of used cars at the dealership differs from the national mean. [t] Starting salaries are determined for 40 female and 40 male electrical engineers. We wish to determine if male electrical engineers tend to have higher starting salaries than their female counterparts. [two]

A farmer wished to determine which of two stimulants, A or B, is more effective in increasing the number of eggs laid by her chickens. She decided to test the hypotheses: