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A-Level MathematicsYear 2022Q2

6   Question 2 continued (b) Identify two limitations of Hamish’s study. (2) ___________________________________________ _ _ _ _ _ Hamish also obtains the PSQI scores for a randomly selected sample of 105 UK students. He finds that 80% of these students can be classified as ‘poor sleepers’. (c) Conduct a test to investigate whether there is evidence for a difference in the proportion of ‘poor sleepers’ between students in the UK and those in India. (6) _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ Turn over 7   Question 2 continued The PSQI scores for these 105 students have mean 6.48 and standard deviation 1.71 (d) Construct a 95% confidence interval for the corresponding population mean PSQI score. (3) _ _ _ _ _ _ _ _ _ The 95% confidence interval for the mean PSQI score for students in India was found to be (6.07, 6.83). (e) Using this information and the confidence interval calculated in (d), comment on the mean PSQI scores of the UK and India. (2) _ _ _ _ _ ___________________________________________ (Total for Question 2 is 18 marks)

Paper Source:9st0-02-que-20220614.pdf

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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)