An engineer in a car manufacturing company has performed a survey of the diamete
ID: 3059504 • Letter: A
Question
An engineer in a car manufacturing company has performed a survey of the diameter of the cylinders in the engine of one of their models and has accumulated the following probability distribution from the data 0.8 0.6 0.4 0.2 85 86 87 89 90 91 Bore (mm) Figure B2 (a) Define the following terms: (i) mean (i mode (6 marks) ) median. For the data in the sample distribution given in Figure B2 (i) (b) what is the parent distribution likely to be in this case? explain how this might be checked numerically, defining the terms in any equation whose use you might suggest (6 marks) (c) For the data in Figure 82, estimate (i he mean value of the bore diameter and (ii) the standard deviation of the data around this mean (6 marks) (d A customer returns an engine with a bore diameter of 89 mm. What is the most likely conclusion by the engineer concerning the origin of this engine? Justify your answer on the basis of the distribution given in Figure B2 (7 marks)Explanation / Answer
An engineer in a car manufacturing company has performed a survey of the diameter of the cylinders in the engine of one of their models and has accumulated the following probability distribution from the data 0.8 0.6 0.4 0.2 85 86 87 89 90 91 Bore (mm) Figure B2 (a) Define the following terms: (i) mean (i mode (6 marks) ) median. For the data in the sample distribution given in Figure B2 (i) (b) what is the parent distribution likely to be in this case? explain how this might be checked numerically, defining the terms in any equation whose use you might suggest (6 marks) (c) For the data in Figure 82, estimate (i he mean value of the bore diameter and (ii) the standard deviation of the data around this mean (6 marks) (d A customer returns an engine with a bore diameter of 89 mm. What is the most likely conclusion by the engineer concerning the origin of this engine? Justify your answer on the basis of the distribution given in Figure B2 (7 marks)