Question 5. [ 12 marks] [Chapters 7 and 8] At the annual Karalca Premier Yearling Sale top quality yearling (one-year old) thoroughbred horses are sold by auction. Data was collected from the 2019, 2018, and 2017 sales. Below is information on some of the variables collected. Variable Year When auctioned Sold Sex Country State the year a yearling is offered for sale: 2019, 2918, 2917 when the yearling is auctioned, categorised as: - 1 (if a yearling is auctioned in the rst third of the auctions) - 2 (if a yearling is auctioned in the middle third of the auctions) - 3 (if a yearling is auctioned in the nal third of the auctions) whether a yearling is sold, categorised as: - yes - passed in (if a yearling does not meet the reserve price) - withdrawn (if a yearling is withdrawn from the auction) the sex of a yearling: - filly (female) - colt (male) the country or region of the buyer of a yearling, categorised as: - Asia - Australia - New Zealand - Other the Australian state or territory an Australian buyer comes from: - Australian Capital Territory - New South Wales - Northern Territory - Queensland - South Australia - Tasmania - Victoria - Western Australia the selling price of a yearling (i.e. the price paid by a buyer) in $NZ (a) For each of the scenarios 1 to 4 below: [4 marks , 1 mark for each scenario] (i) Write down the name of the variable(s), given in the table above, needed to examine the question (i) For each variable in (i) write down its type (numeric or categorical). (b) What tool(s) should you use to begin to investigate the scenarios 1 to 4 below? Write down the scenario number 1 to 4 followed by the appropriate tool. Hint: Refer to the blue notes in Chapter 1 in the Lecture Workbook. [4 marks 7 1 mark for each scenario ] (c) Given that the underlying assumptions are satised, which form of analysis below should be used in the investigation of each of the scenarios 1 to 4 below? Write down the scenario number 1 to 4 followed by the appropriate Code A to F. [4 marks 1 mark for each scenario ] Scenario 1 Is there a difference between the proportion of fillies for sale that sell and the proportion of colts for sale that sell? Scenario 2 Does the selling price depend on whether a yearling is a lly or a colt? Scenario 3 Of the yearlirrgs that sell, is there a difference between the proportion bought by New Zealand buyers and the proportion bought by Australian buyers? Scenario 4 Is the selling price related to the year a yearling is offered for sale? Code Form of analysis mmonw> One sample ttest on a mean One sample ttest on a proportion One sample t-test on a mean of differences Two sample t-test on a difference between two means ttest on a difference between two proportions One-way analysis of variance F-test
