Edexcel as level further mathematics question paper 24 may 2023

Please check the examination details below before entering your candidate information Candidate surname Other names Centre Number Candidate Number Pearson Edexcel Level 3 GCE Friday 19 May 2023 Afternoon Paper reference 8FM0/24 Total Marks Further Mathematics Advanced Subsidiary Further Mathematics options 24: Further Statistics 2 (Part of option G only) You must have: Mathematical Formulae and Statistical Tables (Green), calculator Candidates may use any calculator allowed by Pearson regulations. Calculators must not have the facility for symbolic algebra manipulation, differentiation and integration, or have retrievable mathematical formulae stored in them. Instructions • Use black ink or ball-point pen. • If pencil is used for diagrams/sketches/graphs it must be dark (HB or B). • Fill in the boxes at the top of this page with your name, centre number and candidate number. • Answer all questions and ensure that your answers to parts of questions are clearly labelled. • Answer the questions in the spaces provided – there may be more space than you need. • You should show sufficient working to make your methods clear. Answers without working may not gain full credit. • Values from statistical tables should be quoted in full. If a calculator is used instead of tables the value should be given to an equivalent degree of accuracy. • Inexact answers should be given to three significant figures unless otherwise stated. Information • A booklet ‘Mathematical Formulae and Statistical Tables’ is provided. • The total mark for this part of the examination is 40. There are 4 questions. • The marks for each question are shown in brackets – use this as a guide as to how much time to spend on each question. Advice • Read each question carefully before you start to answer it. • Try to answer every question. • Check your answers if you have time at the end.*P72810A0212* DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA 2  1. Every applicant for a job at Donala is given three different tasks, P, Q and R. For each task the applicant is awarded a score. The scores awarded to 9 of the applicants, for the tasks P and Q, are given below. Applicant A B C D E F G H I Task P 17 12 12 5 Task Q (a) Calculate Spearman’s rank correlation coefficient for the scores awarded for the tasks P and Q. (4) (b) Test, at the 1% level of significance, whether or not there is evidence for a positive correlation between the ranks of scores for tasks P and Q. You should state your hypotheses and critical value clearly. (4) The Spearman’s rank correlation coefficient for P and R is 0.290 and for Q and R is 0.795 The manager of Donala wishes to reduce the number of tasks given to job applicants from three to two. (c) Giving a reason for your answer, state which 2 tasks you would recommend the manager uses. (2) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ *P72810A0312* Turn over 3 DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA Question 1 continued _____________________________________________________________________________________ _____________________________________________________