AQA A-level FURTHER MATHEMATICS 7367/3S Paper 3 Statistics Question Paper + Mark scheme (Merged) GRADE A+

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AQA A-level FURTHER MATHEMATICS 7367/3S Paper 3 Statistics Question Paper + Mark scheme (Merged) June 2021 Version: 1.0 Final 7367/3S PB/Jun21/E4 (JUN2173673S01) A-level FURTHER MATHEMATICS ... Paper 3 Statistics Time allowed: 2 hours Materials l You must have the AQA Formulae and statistical tables booklet for A‑level Mathematics and A‑level Further Mathematics. l You should have a scientific calculator that meets the requirements of the specification. (You may use a graphical calculator.) l You must ensure you have the other optional Question Paper/Answer Book for which you are entered (either Discrete or Mechanics). You will have 2 hours to complete both papers. Instructions l Use black ink or black ball‑point pen. Pencil should only be used for drawing. l Fill in the boxes at the top of this page. l Answer all questions. l You must answer each question in the space provided for that question. If you require extra space for your answer(s), use the lined pages at the end of this book. Write the question number against your answer(s). l Do not write outside the box around each page or on blank pages. l Show all necessary working; otherwise marks for method may be lost. l Do all rough work in this book. Cross through any work you do not want to be marked. Information l The marks for questions are shown in brackets. l The maximum mark for this paper is 50. Advice l Unless stated otherwise, you may quote formulae, without proof, from the booklet. l You do not necessarily need to use all the space provided. Please write clearly in block capitals. Centre number Candidate number Surname _________________________________________________________________________ Forename(s) _________________________________________________________________________ Candidate signature _________________________________________________________________________ For Examiner’s Use Question Mark 1 2 3 4 5 6 7 8 TOTAL I declare this is my own work. 2 Answer all questions inthespacesprovided. 1 The discreteuniformdistribution X can takevalues1,2,3,…,10 Find P(X  7) Circle youranswer. [1 mark] 0.3 0.40.60.7 2 The randomvariable X has varianceVar(X) Which ofthefollowingexpressionsisequaltoVar(aX þ b), where a and b are non-zero constants? Circle youranswer. [1 mark] a Var (X) a Var (X) þb a2 Var (X) a2 Var (X) þ b Jun21/7367/3S Do notwrite outside the box (02) 3 3 In agame,itisonlypossibletoscore10,20or30points. The probabilityofscoring20pointsistwicetheprobabilityofscoring30points. The probabilityofscoring20pointsishalftheprobabilityofscoring10points. 3 (a) Find themeanpointsscoredwhenthegameisplayedonce,givingyouranswerto two decimalplaces. [3 marks] _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ 3 (b) Mina playsthegame. Her father,Michael,tellsherthathewillmultiplyherscoreby5andthensubtract10 He willthengiveherthevaluehehascalculatedinpenceroundedtothe nearest penny. Calculate theexpectedvalueinpencethatMinareceives. [2 marks] _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ Do notwrite outside the box Jun21/7367/3S Turn over s (03) 4 4 Oscar isstudyingthedailymaximumtemperaturein C inavillageduringthemonth of June. He constructsa95%confidenceintervalofwidth0.8 C usingarandomsampleof 150 days. He assumesthatthedailymaximumtemperaturehasanormaldistribution. 4 (a) Find thestandarddeviationofOscar’ssample,givingyouranswertothreesignificant figures. [3 marks] _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ 4 (b) Oscar calculatesthemeanofhissampletobe25.3 C He claimsthatthepopulationmeanis26.0 C Explain whetherornothisconfidenceintervalsupportshisclaim. [2 marks] _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ Do notwrite outside the box Jun21/7367/3S (04) 5 4 (c) Explain howOscarcouldreducethewidthofhis95%confidenceinterval. [1 mark] [Show More]

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