Mark Scheme Statistics Year 2 (A Level) Unit Test 3: The .
Mark schemeMarksAOsPearsonProgression Stepand ProgressdescriptorX females X N(165, 92), Y males Y N(178, 102)M13.35thP(X 177) P(Z 1.33) (or 0.0912)M11.1bP(Y 190) P(Z 1.20) (or 0.1151)A11.1bTherefore the females are relatively taller.A12.2aQ1Statistics Year 2 (A Level) Unit Test 3: The normal distributionSchemeCalculateprobabilities forthe standardnormaldistribution usinga calculator.(4 marks)NotesQ2aSchemeP(M 850) 0.3085 (using calculator)MarksAOsPearsonProgression Stepand ProgressdescriptorB11.1b5thCalculateprobabilities forthe standardnormaldistribution usinga calculator.(1)2bP(M a) 0.1 and P(M b) 0.9M13.1b(using calculator) a 772 gA11.1bb 1028 gA11.1b5thCalculateprobabilities forthe standardnormaldistribution usinga calculator.(3)(4 marks)Notes Pearson Education Ltd 2017. Copying permitted for purchasing institution only. This material is not copyright free1
Mark schemeStatistics Year 2 (A Level) Unit Test 3: The normal distributionMarksAOsPearsonProgression Stepand ProgressdescriptorX B(200, 0.54)B13.37thY N(108, 49.68)B23.1bP(X 100) P(X 101)M13.4M11.1bA11.1bQ3Scheme P Z 100.5 108 49.68 P(Z 1.06.) 0.8554Use the normaldistribution toapproximate abinomialdistribution.(6 marks)Notes Pearson Education Ltd 2017. Copying permitted for purchasing institution only. This material is not copyright free2
Mark schemeQStatistics Year 2 (A Level) Unit Test 3: The normal distributionSchemeMarksAOsB11.2170, 180 on axisB11.1b5% and 20%B11.1b4abell shapedPearsonProgression Stepand Progressdescriptor5thUnderstand thebasic features ofthe normaldistributionincludingparameters, shapeand notation.(3)4bP(X 170) 0.05M13.3170 1.6449B13.4μ 170 1.6449σB11.1bP(X 180) 0.2B13.4μ 180 0.8416σM11.1bSolving simultaneously gives:A11.1bμ 176.615 (awrt 176.6) and σ 4.021 (awrt 4.02)A11.1b 7thFind unknownmeans and/orstandarddeviations fornormaldistributions.(7)4cP(All three are taller than 175 cm) 0.656 3M1A1 0.282 (using calculator) awrt 0.2821.1b5th1.1bUnderstandinformally the linkto probabilitydistributions.(2)(12 marks)Notes Pearson Education Ltd 2017. Copying permitted for purchasing institution only. This material is not copyright free3
Mark schemeQ5aStatistics Year 2 (A Level) Unit Test 3: The normal distributionSchemeMarksAOsn is largeB11.2p is close to 0.5B11.2PearsonProgression Stepand Progressdescriptor5thUnderstand thebinomialdistribution (andits notation) andits use as a model.(2)5bMean npB11.2Variance np(1 p)B11.25thUnderstand thebinomialdistribution (andits notation) andits use as a model.(2)5cThere would be no batteries left.2.45thSelect andcritique asamplingtechnique in agiven context.2.55thCarry out 1-tailtests for nterpret theresults of ahypothesis testfor the mean of anormaldistribution.A1M1A11.1b1.1b2.2bB1(1)5dH0: p 0.55 H1: p 0.55B1(1)5eX N(165, 74.25)P(X 183.5) 183.5 165 P Z 74.25 P(Z 2.146.) 1 0.9838 0.0159Reject H0, it is in the critical region.There is evidence to support the manufacturer's claim.(7)(13 marks)Notes Pearson Education Ltd 2017. Copying permitted for purchasing institution only. This material is not copyright free4
Mark schemeQ6aStatistics Year 2 (A Level) Unit Test 3: The normal distributionSchemeBell shaped.MarksAOsPearsonProgression Stepand ProgressdescriptorB12.2a5thUnderstand thebasic features ofthe normaldistributionincludingparameters, shapeand notation.(1)6bX Daily mean pressure X N(1006, 4.42)M13.35thCalculateprobabilities forthe standardnormaldistribution usinga calculator.P(X 1000) 0.0863A11.1b(2)6cA sensible reason. For example,B1The tails of a Normal distribution are infinite.2.45thUnderstand thebasic features ofthe normaldistributionincludingparameters, shapeand notation.Cannot rule out extreme events.(1) Pearson Education Ltd 2017. Copying permitted for purchasing institution only. This material is not copyright free5
Mark scheme6dStatistics Year 2 (A Level) Unit Test 3: The normal distributionComparison and sensible comment on means. For example,The mean daily mean pressure for Beijing is less thanJacksonville.8thB12.2bComparison and sensible comment on standard deviations. Forexample,The standard deviation for Beijing is greater than that forJacksonville.This suggests more consistent weather in Jacksonville.B12.2bB12.2bStudent claim could be correct.B12.2bThis suggests better weather in Jacksonville.Solve real-lifeproblems incontext usingprobabilitydistributions.(4)(8 marks)Notes6aDo not accept symmetrical with no discription of the shape.6dB2 for Suggests better weather in Jacksonville but less consistent. Pearson Education Ltd 2017. Copying permitted for purchasing institution only. This material is not copyright free6
Mark schemeMarksAOsPearsonProgression Stepand ProgressdescriptorX women’s body temperature X N(36.73, 0.1482)M13.35thP(X 38.1) 0.000186B11.1bQ7aStatistics Year 2 (A Level) Unit Test 3: The normal distributionSchemeCalculateprobabilities forthe standardnormaldistribution usinga calculator.(2)7bSensible reason. For example,B1Call the doctor as very unlikely the temperature would be sohigh.2.2a8thSolve real-lifeproblems incontext usingprobabilitydistributions.(1)(3 marks)Notes Pearson Education Ltd 2017. Copying permitted for purchasing institution only. This material is not copyright free7
Mark scheme Statistics Year 2 (A Level) Unit Test 3: The normal distribution 4Pearson Education Ltd 2017. Co
CSEC English A Specimen Papers and Mark Schemes: Paper 01 92 Mark Scheme 107 Paper 02 108 Mark Scheme 131 Paper 032 146 Mark Scheme 154 CSEC English B Specimen Papers and Mark Schemes: Paper 01 159 Mark Scheme 178 Paper 02 180 Mark Scheme 197 Paper 032 232 Mark Scheme 240 CSEC English A Subject Reports: January 2004 June 2004
Matthew 27 Matthew 28 Mark 1 Mark 2 Mark 3 Mark 4 Mark 5 Mark 6 Mark 7 Mark 8 Mark 9 Mark 10 Mark 11 Mark 12 Mark 13 Mark 14 Mark 15 Mark 16 Catch-up Day CORAMDEOBIBLE.CHURCH/TOGETHER PAGE 1 OF 1 MAY 16 . Proverbs 2—3 Psalms 13—15 Psalms 16—17 Psalm 18 Psalms 19—21 Psalms
H567/03 Mark Scheme June 2018 6 USING THE MARK SCHEME Please study this Mark Scheme carefully. The Mark Scheme is an integral part of the process that begins with the setting of the question paper and ends with the awarding of grades. Question papers and Mark Schemes are d
Examiners should mark according to the mark scheme not according to their perception of where the grade boundaries may lie. All marks on the mark scheme should be used appropriately. All marks on the mark scheme are designed to be awarded. Examiners should always award full marks if deserved, i.e. if the answer matches the mark scheme.
the mark scheme should be used appropriately. All the marks on the mark scheme are designed to be awarded. Examiners should always award full marks if deserved, i.e. if the answer matches the mark scheme. Examiners should also be prepared to award zero marks if the candidate’s response is not worthy of credit according to the mark scheme.
Mark scheme for Paper 1 Tiers 3-5, 4-6, 5-7 and 6-8 National curriculum assessments ALL TIERS Ma KEY STAGE 3 2009. 2009 KS3 Mathematics test mark scheme: Paper 1 Introduction 2 Introduction This booklet contains the mark scheme for paper 1 at all tiers. The paper 2 mark scheme is printed in a separate booklet. Questions have been given names so that each one has a unique identifi er .
the mark scheme, the own figure rule can be used with the accuracy mark. Of Own Figure rule Accuracy marks can be awarded where the candidates’ answer does not match the mark scheme, though is accurate based on their valid method. cao Correct Answer Only rule Accuracy marks will only be awarded if the candidates’ answer is correct, and in line with the mark scheme. oe Or Equivalent rule .
MARK SCHEME for the November 2003 question papers 0610 BIOLOGY 0610/01 Paper 1 (Multiple Choice), maximum mark 40 0610/02 Paper 2 (Core), maximum mark 70 0610/03 Paper 3 (Extended), maximum mark 70 0610/05 Paper 5 (Practical), maximum mark 40 0610/06 Paper 6 (Alternative to Practical), maximum mark 40
