Question 12 For this sample of chickens, the mean chicken size is best approxima

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Question 12 For this sample of chickens, the mean chicken size is best approximated as: (a) 14 (b) 13.4 (c) 7.4 (d) 13 0 2 4 6 8 10 12 14 11 12 13 14 15 16 17 No of Chickens Chicken Size Histogram of the number of Chickens of each size

Question 13 For this sample of chickens, the standard deviation of chicken size is best approximated as: (a) 13.5 (b) 1.773 (c) 1.756 (d) 3.083

Question 14 For this sample of chickens, the coefficient of variation (%) of chicken size is best approximated as: (a) 13.2% (b) 21.1% (c) 8.0% (d) 12.5%

Question 15 An airline’s records show that its flights between two cities arrive on the average 4.6 minutes late with a standard deviation of 1.4 minutes. If nothing is known about the shape of the distribution of flight lateness, at least what percentage of its flights between these two cities arrive anywhere between 1.8 minutes late and 7.4 minutes late? (a) 75% (b) 95% (c) 99% (d) 89%

Question 16 When ordering a car you must specify for the following: model (3 choices), engine (3 sizes), body style (4 types), colour (7 shapes), and option package (10 choices). How many different cars can be choose from? (a) 648 (b) 27 (c) 1764 (d) 2520

Questions 17 and 18 refer to the following information: From data gathered last year, it has been determined that the probability of a family owning two cars is 70 percent. For families owning two cars, there is a 70 percent chance that their annual income is greater than $90000. Of the families that do not own two cars, only 10 percent will have an annual income greater than $90000.

Question 17 For a randomly selected family, what is the probability the family either owns two cars or their annual income is greater than $90000? (a) 0.73 (b) 0.70 (c) 0.51 (d) 0.49

Question 18 If a family whose annual income is greater than $90000 is randomly selected, what is the probability that the family did not own two cars? (a) 0.058 (b) 0.030 (c) 0.700 (d) 0.100

Questions 19 and 20 refer to the following information: A Department store has been the target of many shoplifters during the past month. Police investigations show that 50 percent of all caught shoplifters were first-time offenders, 70% were male and 39 percent were first-time offenders and male.

Question 19 What is the probability that a caught shoplifter is a first-time offender or male? (a) 0.39 (b) 0.81 (c) 0.35 (d) 0.325

Question 20 What is the probability than a caught shoplifter is not a first-time offender, given that the shoplifter is female? (a) 0.30 (b) 0.63 (c) 0.38 (d) 0.1

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13:14 moodle.cqu.edu.au Question 11 to 14 refer to the following information: A shopkeeper recorded the chicken sales by size during a typical week. The following histogram represents a sample of 52 chickens and the number of chickens of each size Chicken size was either 11,12,13,14,15,16 or 17. Histogram of the number of Chickens of each size 14 12 10 -8 4 12 13 15 16 17 Chicken Size Question 11 For this sample of chickens, the median size of the chickens is

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Question 11 For this sample of chickens, the median size of the chickens is: (a) 12 (b) 26 (c) 13 (d) 14

median = average of 26th and 27th

= 13

option C) is correct

mean = 13.38462

option B) 13.4 is correct

Question 13 For this sample of chickens, the standard deviation of chicken size is best approximated as: (a) 13.5 (b) 1.773 (c) 1.756 (d) 3.083

sd = 1772932

option B) 1.773 is correct

Question 14 For this sample of chickens, the coefficient of variation (%) of chicken size is best approximated as: (a) 13.2% (b) 21.1% (c) 8.0% (d) 12.5%

coefficient of variation sd /mean = 1.772932/13.38462 = 0.13246

hence 13.2 %

option A) is correct

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Question 12 For this sample of chickens, the mean chicken size is best approxima

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