In this question, you analyze data about the light vehicles registered in Australia.
Data is collected from 30 car dealer offices - that responded to our request - and that are located in four suburbs of Brisbane.
The vehicle registrations of light vehicles include vehicle make, year, colour, fuel type, the number of seats, the number of cylinders, GVM weights and Tare weights of the ambulances, hearses, minivans, motorhomes, passenger cars etc.
The file contains the following variables:
Year of Manufacture: The year the vehicle was manufactured.
Make: The make of the vehicle.
Colour: The colour of the vehicle.
Fuel Type: The fuel type of the vehicle.
The number of cylinders: The number of cylinders of the vehicle.
The number of seats: The number of seats of the vehicle.
GVM Weight: The total weight of the tow vehicle – the kerb weight plus payload including passengers, luggage and accessories (in kg).
Tare Weight: This is the weight of an empty vehicle with all of its fluids but with only 10 litres of fuel in the tank (in kg).
Note the marking criteria when solving this question.
Original data is taken from the Queensland government1 and recreated for this assignment. The original data were modified to simplify and create a new dataset for each student.
1https://www.data.qld.gov.au/
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CSV files
Download your data with the link below:
Download light_vehicles.csv
1.1)
Test if the mean number of cylinders of Nissan vehicles is less than Mercedes vehicles.
6 marks
1.2)
Test if the mean number of seats is different for each colour. If so, determine which colour has a statistically different mean.
7 marks
1.3)
• Use Bootstrapping to compute a 92%92% confidence interval for the difference between Tare and GVM weights for white vehicles?
• Compute a 92%92% confidence interval for the difference between Tare and GVM weights for white vehicles by using approximation.
• Can we conclude that Tare weights are different than GVM weights for white vehicles (Don't do a hypothesis test)?
• Test the hypothesis that Tare weights are greater than GVM weights for white vehicles.
7 marks
1.4)
Test if there is a difference in proportions of the bronze vehicles between Ford and Volkswagen?
5 marks
1.5)
The recent trend shows that people tend to buy heavier vehicles. We would like to investigate whether there is a linear relationship between the registration year and the mean of the GVM weight.
a) Decide if the mean GVM weight and the registration year are linearly related?
b) If so, compute the equation to predict mean GVM weight by using the registration year and discuss the significance of this equation? What is your estimate of the population mean GVM weight when the year is 19901990?
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