Type of measurements are: Nominal, Ordinal, Interval & Ratio. Please answer all

Question

Type of measurements are: Nominal, Ordinal, Interval & Ratio.

Please answer all of the questions including question 1

Question 1 You have been commissioned to help design a study to investigate factors affecting used car prices in Australia. The study is being conducted by a motorists' lobby group that is based in Brisbane. Your first task is to rank the following sampling schemes, first being best and fourth being worst, in terms of their ability to produce a representative dataset with regard to used car prices in Australian cities: a) Ask all 500 members of the motorists' group about their most recent used car purchase; b) Ask the first 100 commuters at each of the main railway stations in Brisbane, Sydney, Melbourne, Adelaide and Perth about their most recent used car purchase; c) Randomly choose 500 used vehicles advertised on a major car sales website; d) Seek contacts through motorists' groups in each of Brisbane, Sydney, Melbourne, Adelaide and Perth and take the first 100 to answer from each state Question 2 Continuing the scenario of Question 1, suppose data has been collected on a representative sample of 500 used vehicles. For each vehicle, the information recorded included the sale price ($), state of sale (Qld, NSW, etc.), body type (sedan, hatchback, ute, etc.), number of cylinders and distance travelled (km) For this dataset, what type of measurement is the number of cylinders? Question 3 Continuing the scenario of Question 2, what kind of measurement is the distance travelled? Question 4 Still continuing the scenario of Question 2, what kind of measurement is the body type? Question 5 Still continuing the scenario of Question 2, the sale price of each vehicle is the primary variable of interest. In this regard, what type of variable is it? (Hint: Think in terms of this variable's role in the analysis of these data.)

Explanation / Answer

1. Option d) 1st (This sampling method uses stratified random sampling). Option a) 2nd (This sampling method uses simple random sampling) Option b) 3rd (This sampling method uses convinient sampling) and Option c) 4th (This sampling is based on web based data, so most untrustworthy).

2. Number of cylinders is Interval-ratio level of measurement. (Here, apart from counting number of cylinders in each categories and comparing them, judgements regarding greater than and less than can be done alongwith mathematical operations).

3. Distance travveled is Interval-ratio level of measurement. (Here, apart from counting number Km of distance travvelled in each categories and comparing them, judgements regarding greater than and less than can be done alongwith mathematical operations).

4. Body type is nominal level of measurement. (Here, classification of body types into three categories had been done).

5. Sale price is Interval-ratio level of measurement. (Here, apart from counting dollars earned from selling in each categories and comparing them, judgements regarding greater than and less than can be done alongwith mathematical operations).

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