Foundations of Statistics Trial Exam 1 Percentage of overall assessment covered by this paper: 40 % The following information will be shown on the front of the Final Exam paper: Exam Code(s): STA10003 Title of Paper: Foundations of Statistics Exam Duration: 150 minutes Reading Time: 10 minutes During an exam, you must not have in your possession, a book, notes, paper, electronic device(s), calculator, pencil case, mobile phone, smart watch/device or other material/item which has not been authorised for the exam or specifically permitted as noted below. Any material or item on your desk, chair or person will be deemed to be in your possession. You are reminded that possession of unauthorised materials in an exam is a discipline offence. No examination papers are to be removed from the room. Authorised Materials Calculators Yes No Open Book Yes No Specifically Permitted Items Yes No If yes, specifically permitted items are: Writing materials / Ruler One double-sided A4 sheet of notes - printed or handwritten, but with no extra papers pasted on A4 sheet of notes must be handed up with exam paper Answering Instructions: Write all answers in the spaces provided For Multiple Choice questions you are required to circle your answer. If you change an answer, cross out the incorrect answer [ Ø ], and ensure that your selected answer is clearly indicated. Note: The marks shown on this Trial Exam are indications of marks allocated - so they should be used as a guide only. The marks allocated for each question will depend upon the format [eg multiple choice, short answer etc] and the complexity of the question. STA10003 - Foundations of Statistics Trial Exam 1 Page 1 of 15 ---
[14 marks] Question 1 The following are hypothesis tests you have studied in Foundations of Statistics: Binomial test One sample t-test Independent Samples t-test Paired samples t-test Cross-tabulation / Chi-square test Pearson's r / Regression For each scenario below [and given that any associated assumptions have been met], choose the most appropriate test to use for the following research problems: 1.1 A manufacturer of computers believes that their computers 'burn' Toprice CDs faster than Modcost CDs. To test this he takes a random sample of 40 of their computers and measures the time (in nanoseconds) that each computer takes to burn a given file onto a Toprice CD and onto a Modcost CD. What analysis would you use to test the hypothesis that their top computers burn Toprice CDs faster than they burn Modcost CDs? [2 marks] A. Binomial test B. One-sample t-test C. Independent Samples t-test D. Paired Samples t-test E. Cross-tabulation / Chi-square test F. Pearson's r / Regression 1.2 A removalist thinks that, when there are more auctions in the area, he should get more requests for removal vans. To check if there is a relationship between the number of auctions and the number of requests for removal vans he randomly selects 20 weekends over the past 2 years and records the number of