5. (a) A statistician would like know if there is association between the number of parking fine notices a driver receiv

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5 A A Statistician Would Like Know If There Is Association Between The Number Of Parking Fine Notices A Driver Receiv 1 (61.63 KiB) Viewed 30 times

5. (a) A statistician would like know if there is association between the number of parking fine notices a driver received and the age of the driver. The following table shows the data for the number of parking fine notices in a month and the age of the driver in a random sample of 300 drivers between 18 and 60. Age of drivers 18-30 31 - 45 46 - 60 0 51 39 35 No. of packing fine notices 1 60 32 24 2 22 12 25 Test, at the 5% level of significance, the hypothesis that there is no association between the number of parking fine notices and the driver's age. [7 marks (b) A basketball game consists of four quarters of 10 minutes each. A random sample of 100 games of a certain team are investigated. In each game, the number of quarters that the team was in the lead by the end of the quarter are recorded below: Number of quarters in the lead 0 1 2 3 4 Frequency 8 17 41 30 4 Is there any evidence that the number of quarters the team is in the lead is binomially distributed, at the 5% level of significance? [7 marks) (c) Ten packets of milk chocolate were examined and the following net weight in gram were recorded: 103 104 93 101 105 95 101 102 109 102 Construct a 95% confidence interval for the mean net weight per packet. State any assumption(s)/approximation(s) used. [6 marks)