Summer Final Examinations, 2019 STAT1201 Analysis of Scientific Data THE UNIVERSITY OF QUEENSLAND AUSTRALIA Venue Seat Number Student Number This exam paper must not be removed from the venue Family Name First Name School of Mathematics & Physics EXAMINATION Summer Final Examinations, 2019 STAT1201 Analysis of Scientific Data This paper is for St Lucia Campus students. Examination Duration: 120 minutes For Examiner Use Only Reading Time: 10 minutes Exam Conditions: Question Mark This is a Central Examination This is a Closed Book Examination - no materials permitted 2 1 During reading time - write only on the rough paper provided 3 This examination paper will be released to the Library Materials Permitted In The Exam Venue: 4 (No electronic aids are permitted e.g. laptops, phones) Calculators - Casio FX82 series or UQ approved (labelled) Materials To Be Supplied To Students: 5 Total None Instructions To Students: There are 54 marks available on this exam from 5 questions. Write your answers in the spaces provided in pages 2-12 of this examination paper. Show your working and state conclusions, where appropriate. Pages 13-19 give formulas and statistical tables. Those pages will not be marked. Additional exam materials (eg. answer booklets, rough paper) will be provided upon request. Page 1 of 19
Summer Semester Final Examination, 2019 STAT1201 Analysis of Scientific Data Question 1. ( Total 9 marks) Suppose the temperature on a random day in December in Brisbane follows a normal distribution with mean (i.e., expectation) 32 and standard deviation 2 (degrees Celsius). (a) [3 marks] What is the probability that the temperature exceeds 36 degrees on a given day? (b) [6 marks] A temperature of 36 degrees is considered dangerous for the elderly and infants. Suppose that due to global warming the mean temperature rises to u degrees, while the standard deviation remains 2 degrees. What u would increase the probability of exceeding 36 degrees to 10%? Page 2 of 19
STAT1201 Analysis of Scientific Data Summer Semester Final Examination, 2019 Question 2. (Total 12 marks) The Alice company has spent a considerable amount of money on advertising their E.cola drink. Before the advertising campaign the proportion of people who prefer E.cola to any other cola was 10%. To see if the campaign worked, they randomly selected 100 people from the population and asked them if they preferred E.cola to any other cola. Of these 100 people, 19 people agreed that E.cola is better than any other cola. Does this provide evidence that the advertising campaign had an effect on improving the popularity of E.cola? (a) [5 marks] Carry out a statistical test to assess the evidence. Make sure you specify the appropriate null and alternative hypotheses, the test statistic, and the P-value, and state your conclusion. Page 3 of 19