A-Level MathematicsYear 2022Q5
14 5 Based on an earlier study, Sinead decided to investigate the extent to which people are influenced by other people’s laughter. Participants were asked to rate the ‘funniness’ of a set of 10 jokes. The 10 jokes were videoed being told by a professional comedian. Random samples of participants were then shown the video and asked to rate the funniness of each joke on a scale of 1 (unfunny) to 7 (extremely funny). A first sample of participants watched the video with no laughter track added. A second sample watched it with a backing track of fake machine-generated laughter. A third sample watched it with a backing track of real laughter generated by an audience. The funniness ratings for each joke were then averaged for each of the three samples. The mean ratings obtained are given in Figure 4. No laughter Fake laughter Real laughter Joke 1 2.3 1.9 1.0 2 3.2 2.9 4.2 3 2.1 4.2 3.8 4 3.4 1.9 3.8 5 2.5 3.5 3.8 6 2.2 3.0 3.7 7 1.3 1.9 2.5 8 1.3 2.4 2.9 9 1.4 3.5 4.3 10 2.5 4.0 5.0 Figure 4 Sinead’s belief is that jokes are perceived to be more funny if accompanied by the sound of laughter. The test values calculated using the data in Figure 4 are t = 1.93 for ‘Fake laughter’ compared to ‘No laughter’ and t = 3.51 for ‘Real laughter’ compared to ‘No laughter’ Turn over 15 Question 5 continued (a) State the hypotheses being tested and decide whether these data support Sinead’s belief. (4) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ (b) Conduct a t-test using data from Figure 4 to investigate whether there is evidence of any difference between ‘Fake laughter’ and ‘Real laughter’ in terms of the perceived funniness of jokes. (8) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________
Paper Source:9st0-02-que-20220614.pdf
Get full Socratic AI guidance on this question — free in the Applaa desktop app
Appy Buddy guides you step-by-step toward the answer without giving it away. Type your attempt and get instant, mark-scheme-aware clues that teach you to think like an examiner.
Applaa Desktop App
Join Applaa Community
Create your own games, learn AI concepts, program interactive apps, and share with a kid-safe community approved by parents. Free forever on Windows and Mac.
Download Free
Available for Windows and macOS · COPPA Compliant
Exam Specification Info
This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.
Syllabus levelAdvanced Level (A-Level)
SubjectMathematics
Official MarksVariable (2–6 marks)