1. QUESTION 1 The table summarises the main characteristics on data concerning the annual pretax remuneration in dollars of information technology graduates with 12 months work experience. Mean 58263.15 Variance 3.4269*10^8 Maximum 113780 Minimum 34085 Median 55766 3rd 1st Quartile 49744 Mode 50385 Quartile By how many times is the range larger Give your answer correct to three decimal places. 72180 than the interquartile range? 3 points QUESTION 2 1. A sample of nine people from an outer Sydney suburb travelled the following distances each day:29.4 17.8 49.2 24.0 40.5 26.2 16.8 35 16.4 Find the difference between the median and the mean of the sample (correct to 2 dec pl)? Use {median - mean} as the order of the difference. 3 points QUESTION 3 1. With the datafile DP03.08 use Excel Data Analysis to compute the descriptive statistics for BEng (column D). Calculate (i) mean - standard deviation (correct to 1 decimal place) (ii) mean + standard deviation (correct to 1 decimal place) (iii) Using the empirical rule how many data points are expected to be in this range (nearest whole number)? (iv) How many sample points for BEng are in this range (nearest whole number)? You could now consider whether or not you think the data are normally distributed (at least approximately). 4 points 1. QUESTION 4 On the Ipswich Motorway near the Warrego highway turnoff, it is known that 26% of vehicles exceed the speed limit. If 12 vehicles pass a hidden camera, what is the probability that more than three will be booked for speeding? (3 dec pl) 3 points 1. QUESTION 5 When many small businesses were surveyed, 88% said they employed women in some capacity. Of the businesses that employed women, 16.5% employed no female supervisors, 46.5% employed only one female supervisor and the remainder employed more than one female supervisor. What proportion of businesses surveyed employed exactly one female supervisors? (as a decimal to 3 dec pl) 3 points QUESTION 6 1. On the basis of the partially completed contingency table below regarding reasons for job loss, select all the true statements from the following list: (note that the given answers have been rounded) Gender Moved Slack work Abolished Total Male U V 756 3413 Female W 381 425 X Total 2911 Y Z 5557 Gender and the reason for job loss are independent. 91% of workers were female or lost their job because the workplace closed. The probability that a worker was female and lost her job because the workplace closed was 0.46. 26.4% of workers lost their jobs because of slack work. The proportion of male workers who lost their job for reasons other than slack work was 0.682. Of the workers who lost their job because the position was abolished, 64% were male. 4 points 1. QUESTION 7 A law firm is considering nominating to do work for the Legal Aid Commission, but only if it is financially viable for them to do so. Based on historical data,if the defendant pleads guilty and a solicitor is only required for sentencing, then the firm's net return is $573. If the defendant pleads guilty, but the solicitor is also required during the giving of evidence,then net return is $289. On the other hand, if the defendant pleads not guilty, then the net return is a loss of $553. If the probabilities for the first two scenarios are 0.36 and 0.44 respectively, then calculate the variance of the net return. Give your answer to the nearest whole number. 3 points 1. QUESTION 8 To ascertain the effectiveness of the advertising campaign for the Red Cross Annual Appeal on donations, a telephone survey of 296 Brisbane residents was conducted. Two of the questions asked were 1. Did you see the advertisement for the Annual Appeal? 2. Did you donate to the Appeal? 204 of the respondents indicated they had seen the advertisement, with 14 of these not donating to the Appeal. Overall, 76 respondents had not donated to the Appeal. One of the respondents was chosen at random, what is the probability that he donated or was aware of the Appeal through the advertising campaign? (3 dec pl) BA 34865 33536 37850 39500 39020 32617 30112 36693 32634 38665 31963 27014 39459 39699 41878 30233 35465 34373 33008 37038 37379 39125 37704 41011 31090 39160 38201 39746 33024 36981 39234 34606 38193 37196 33504 27938 34720 38520 40785 37101 35494 38914 31597 41968 36095 38809 31408 33056 37218 37168 BSC BCOM BENG BLAW 37609 50658 44915 59605 47583 45743 39319 47397 45627 38288 40976 49352 47831 40226 34684 44379 47022 41093 37761 54681 36915 51659 45548 49205 34065 48677 34515 51350 48464 49924 46415 49236 48958 47397 41941 59618 31901 49352 44468 53788 35389 44379 34992 40998 49850 54681 34740 59618 42449 42510 47186 51818 37518 43856 40037 59986 39660 49236 41766 46495 44864 43382 40013 56537 36850 53788 38225 46801 41648 40998 39049 64350 38375 39623 46775 53361 50245 40708 48987 55426 43441 59986 41075 54230 43144 46495 44812 41527 36134 56537 46340 44569 41005 46801 34529 45185 44469 35945 40850 44357 40894 53361 34403 50700 46800 55426 38623 40676 35659 54230 30632 44828 43118 41527 38617 39355 39182 44569 39915 51646 43390 45185 36741 43313 45301 44357 36202 48178 44699 37705 38306 54321 39430 40676 32594 46540 41909 44828 45367 53745 45630 39355 37987 44118 50050 51646 33435 37090 43676 43313 38136 45305 49968 48178 41941 43226 40320 54321 46331 45175 31727 37024 38422 50072 48445 53745 30848 56202 47356 44118 35850 55250 38813 37090 37445 39949 30486 45305 42154 48675 46063 43226 35027 59297 39850 45175 35136 56943 39650 50072 38126 52477 29500 56202 36756 40023 29500 33617 46067 63050