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National Certificate in Paper & Pulp Manufacturing NQF Level 3 Collect and use data to establish statistical and probability models and solve related problems Commissioned by PAMSA and German Technical Co-Operation 1 National Certificate in Paper & Pulp Manufacturing NQF Level 3 US:7454 Collect and use data to establish statistical and probability models and solve related problems Notional Hours 15 TF305.01 Selecting a sample TF305.02 Collecting data 10 TF305.03 Arranging and analysing data 15 TF305.04 Using random events to explore and apply probability concepts 10 Total Notional Hours 50 P&P3FM Sampling and collecting P&P3FM Analysing data P&P3FM Using random events Commissioned by PAMSA and German Technical Co-Operation 2 National Certificate in Paper & Pulp Manufacturing NQF Level 3 US: 7454 Collect and use data to establish statistical and probability models and solve related problems Critical Cross-field Outcomes TF305.01 Selecting a sample Identify and solve problems Work effectively with others Be able to do effective sampling in the workplace Know the two major types of sampling Communicate effectively Be able to use sampling tools/instruments Organise and manage myself and my activities Understand the guidelines and principles in selecting a sample Collect, analyse, organise and critically evaluate information Understand the selection of units from a population to conduct surveys Understand what sampling is and why we need sampling Use science and technology effectively and critically Demonstrate an understanding of the world as a set of related systems Use mathematics Learner and societal development Commissioned by PAMSA and German Technical Co-Operation 3 National Certificate in Paper & Pulp Manufacturing NQF Level 3 US: 7454 Collect and use data to establish statistical and probability models and solve related problems Critical Cross-field Outcomes TF305.02 Collecting data Identify and solve problems Work effectively with others Communicate effectively Be able to work with the different measuring instruments and scales (yes/no, 5 point, discrete, continuous variables) Be able to use basic questionnaires to obtain relevant data Know how to check for inconsistencies of data gathered Know which data gathering techniques are most suitable for the specific solutions Know that databases exist to store data Understand the basics of questionnaire design Know the basic data gathering techniques including questionnaires Commissioned by PAMSA Know which situations could be resolved through the use of statistics and German Technical Co-Operation Organise and manage myself and my activities Collect, analyse, organise and critically evaluate information Use science and technology effectively and critically Demonstrate an understanding of the world as a set of related systems Use mathematics Learner and societal development 4 National Certificate in Paper & Pulp Manufacturing NQF Level 3 Topic Specification: TF305.02 Analyse, plan and make decisions Collect Information Learning Activities Use Multi media Self Study Field visit Media search Assignment Description W H A T Interview experts Attend lectures A group exercise to design a questionnaire which should be used to collect appropriate data to determine whether poverty has a gender dimension as well as the impact of the national lottery on communities HOW Group Discussions Sketch 1. Case studies Compile lists Propose solutions/ 2. 3. recommendations Execute, test and evaluate Collecting data Job assignment 4. Make presentation 5. Multiple choice 6. Draft a report 7. Complete a questionnaire 8. Commissioned by PAMSA Learners are provided with a multiple choice test to test their understanding of basic data collection techniques, the different measuring instruments and scales and their usage Answers are verified in a group discussions In a group, determine the criteria for poverty (e.g capital income, access to basic needs, employment, education) as well as relevant characteristics of the target group required for the research study. Design appropriate questions using different measuring instruments and scales As a group present the questionnaire to the facilitator for comments and recommendations Include facilitator’s recommendation in the questionnaire Obtain assistance to have the questionnaire typed and copied for further use in data collection Collect data in your community by means of the questionnaire Topic assessment criteria The assessor will observe and confirm that learners: • Are able to list the basic data collection techniques •Are able to design questionnaire using basic principles of questionnaire design •Are able to use questionnaire for resolution of a problem •Are able to evaluate data gathering techniques and data collected •Are able to work with measuring instruments and techniques and German Technical Co-Operation Notional Hours 10 5 National Certificate in Paper & Pulp Manufacturing NQF Level 3 US: 7454 Collect and use data to establish statistical and probability models and solve related problems Critical Cross-field Outcomes TF305.03 Arranging and analysing data Be able to use sort function (excel) to extract information Be able to use scatter plots and place lines of best fit to represent association between two variables Be able to present statistics using appropriate presentations Be able to fit curves to predict trends Know how to calculate inter-quartile and when to apply it Know how to calculate mode and when to apply it Know how to calculate weighted mean and when to apply it Know how to calculate range and when to apply it Know how to calculate arithmetic mean and when to apply it Know how to arrange data in basic excel spreadsheets Identify and solve problems Work effectively with others Communicate effectively Organise and manage myself and my activities Collect, analyse, organise and critically evaluate information Use science and technology effectively and critically Demonstrate an understanding of the world as a set of related systems Use mathematics Learner and societal development Commissioned by PAMSA and German Technical Co-Operation 6 National Certificate in Paper & Pulp Manufacturing NQF Level 3 Topic Specification: TF305.03 Analyse, plan and make decisions Collect Information Learning Activities Use Multi media Self Study Field visit Media search Assignment Description W H A T Interview experts Attend lectures An individual exercise to organise data collected for the research study in excel and using statistical calculations to interpret data. Feedback on the findings of the research study should be presented using graphical presentations HOW Group Discussions Sketch Case studies Compile lists Organise and capture 1. 2. 3. 4. 5. Execute, test and evaluate Arranging and analysing data Job assignment Make presentation 6. Individually organise data and prepare an appropriate spreadsheet for capturing Capture data in excel spreadsheet Use appropriate techniques to analyse data Present interpretations to the group using graphical presentations In a group discussion, discuss the results of the survey Draft a report on the results and include graphs Topic assessment criteria The assessor will observe and confirm that learners: • Are able to organise data and extract data for statistical purposes •Are able to analyse data and present data by using graphical presentations •Are able to used appropriate and efficient methods to organise data •Graphical representations and numerical summaries are consistent with the data •Calculations and the use of statistics are correct and appropriate to the problem •Interpretation of the statistics are justified Multiple choice Draft a report Notional Hours Complete a questionnaire 15 Commissioned by PAMSA and German Technical Co-Operation 7 National Certificate in Paper & Pulp Manufacturing NQF Level 3 US: 7454 Collect and use data to establish statistical and probability models and solve related problems Critical Cross-field Outcomes TF305.04 Using random events to explore and apply probability concepts Be able to make and test predictions about probability in the context of games ,real-life situations and the workplace Be able to use basic counting techniques to determine the number of ways an event can occur Work effectively with others Communicate effectively Be able to distinguish between situations in which probabilities need to be multiplied from those in which probabilities need to be added Be able to use tree diagrams in representing and working with events. Be able to distinguish between theoretical and experimental probabilities Know the term “odds on” in relation to a probability value Be able to distinguish between a trial ,outcome and event Identify and solve problems Be able to interpret probability values expressed as fractions between 0 and 1 or as percentages Be able to distinguish outcomes which are equally likely Organise and manage myself and my activities Collect, analyse, organise and critically evaluate information Use science and technology effectively and critically Demonstrate an understanding of the world as a set of related systems Use mathematics Learner and societal development Commissioned by PAMSA and German Technical Co-Operation 8 National Certificate in Paper & Pulp Manufacturing NQF Level 3 Topic Specification: TF305.04 Execute, test and evaluate Analyse, plan and make decisions Collect Information Learning Activities Use Multi media Self Study Field visit Media search Using random events to explore and apply probability concepts Assignment Description W H A T An individual study to determine the probability of winning popular games (including lotteries, darts, card games) and group discussion to discuss findings and the social impact of the national lottery Interview experts HOW Group Discussions Calculate 1. Compile lists 2. Organise and capture 3. Job assignment 4. Make presentation Multiple choice The assessor will observe and confirm that learners: • Are able to explore and apply probability concepts in making predictions in various situations •Are able to use appropriate and efficient methods to organise data •Are able to produce graphical representations and numerical summaries consistent with the data Attend lectures Case studies Topic assessment criteria 5. Draft a report Determine which games will be included in the exercise Apply probability concepts to make predictions about probability Analyse data collected on participation in the national lottery and prepare a report on your findings Research the internet and include your view on the socio economic impact of the national lottery Present your report orally to the group and engage in a group discussion on the different views expressed by learners •Are able to correctly calculate and the use apply statistics appropriate to the problem •Are able to justify interpretation of the statistics justified Complete a questionnaire Commissioned by PAMSA Notional Hours 10 and German Technical Co-Operation 9