Download Apply knowledge of statistics and probability to critically

National Certificate in Paper & Pulp Manufacturing NQF Level 4
Apply knowledge
of statistics and
probability to
critically
interrogate and
effectively
communicate
findings on liferelated problems
Commissioned by PAMSA
and German Technical Co-Operation
1
National Certificate in Paper & Pulp Manufacturing NQF Level 4
Apply knowledge of statistics and probability to
critically interrogate and effectively communicate
findings on life-related problems
Topics
Modules
Notional
Hours
RF410.53
Collecting, organising and representing data
20
RF410.54
Understanding theoretical and experimental probability
20
RF410.55
Using probability and statistical models
Total Notional Hours
20
60
P&P4FM
Representing data
P&P4FM
Probabilities
P&P4FM
Statistical methods
Commissioned by PAMSA
and German Technical Co-Operation
2
National Certificate in Paper & Pulp Manufacturing NQF Level 4
US: 9015
Apply knowledge of statistics and probability to critically interrogate and
effectively communicate findings on life-related problems
RF410.53
Critical Cross-field Outcomes
Collecting, organising and representing data
Identify and solve
problems
Work effectively with
others
Be able to formulate
questions in surveys to
obtain data
Be able to select random
samples in the workplace
Be able to use dichotomous, discrete and
continuous variables
Be able to find inconsistencies in
collected data and data gathering
techniques
Be able to calculate measures of centre and spread
Be able to use two variable scatter plots and lines
of best fit
Be able to examine the correlation between two
variables
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
3
National Certificate in Paper & Pulp Manufacturing NQF Level 4
Topic Specification: TC53
Execute, test and
evaluate
Analyse, plan and
make decisions
Collect Information
Learning Activities
Use Multi media
Group/Self Study
Plant investigation
Media search
Assignment Description
W
H
A
T
1.
In a group, decide on two appropriate
production variables to be investigated and
a representative data collection approach.
2.
Collect production data and study the
relationship between two variables
3.
Calculate mean and variance and draw
scatter plots to remove inconsistencies
4.
Evaluate and summarise the collected data
using numerical and graphical methods
5.
Investigate the association between two
variables (graphical and numerical) and
formulate the relationship between the two
variables using lines of best fit and
correlation.
6.
Draft a report on the group’s findings
Group Discussions
Sketch
Case studies
Calculate
Develop
recommendations
Job assignment
Make presentation
Complete documents
Draft a report
A group exercise to collect production
data and study the relationship between
two variables.
HOW
Interview experts
Attend lectures
Collecting, organising and representing data
Topic assessment criteria
The assessor will observe and confirm
that learners:
• Are able to collect representative production data
to resolve a problem
•Are able to evaluate and organise collected data
•Are able to summarise data using graphical and
numerical methods
•Are able to present and support the resolution of a
formulated problem.
Complete a
questionnaire
Commissioned by PAMSA
Notional
Hours
4
and German Technical Co-Operation
4
National Certificate in Paper & Pulp Manufacturing NQF Level 4
US: 9015
Apply knowledge of statistics and probability to critically interrogate and
effectively communicate findings on life-related problems
Critical Cross-field Outcomes
RF410.54
Understanding theoretical and experimental
probability
Identify and solve
problems
Work effectively with
others
Communicate effectively
Be able to distinguish between
independent, complementary and
mutually exclusive events
Organise and manage
myself and my activities
Be able to determine theoretical and
experimental probabilities
Collect, analyse, organise
and critically evaluate
information
Use science and
technology effectively and
critically
Be able to use sumulations to compare
experimental results with mathematical
expectations
Be able to compare experimental results
with mathematical expectations
Demonstrate an
understanding of the
world as a set of related
systems
Use mathematics
Learner and societal
development
TOPIC SPECIFICATION
and German Technical Co-Operation
Commissioned by PAMSA
5
National Certificate in Paper & Pulp Manufacturing NQF Level 4
Topic Specification: TC54
Execute, test and
evaluate
Analyse, plan and
make decisions
Collect Information
Learning Activities
Use Multi media
Group/Self Study
Plant investigation
Media search
Assignment Description
W
H
A
T
1.
Place 8 similar items in a container and
number them 1 to 8. Mark any 4 with one
colour and the remaining 4 with another
colour). Mix, draw one item and record the
number. Do this 100 times Repeat the
exercise, recording both number and
colour.
2.
Divide the observations in colour and even
or uneven numbers. Determine the
probability of obtaining a number between
1 and 8, an even or uneven number, an
even number in colour 1,an uneven
number in colour 2
3.
Compare the outcome of the exercise to
mathematical expectations. Define events
as independent, complementary or
mutually exclusive
Group Discussions
Sketch
Case studies
Calculate
Develop
recommendations
Job assignment
Make presentation
Complete documents
Draft a report
Complete a
questionnaire
An individual exercise to ensure that
the learners will be able to use
theoretical and experimental probability
to study problems and compare with
mathematical expectations.
HOW
Interview experts
Attend lectures
Understanding theoretical and experimental probability
4.
Commissioned by PAMSA
Topic assessment criteria
The assessor will observe and confirm
that learners:
• Are able to use the laws governing independent,
complementary or mutually exclusive events.
•Are able to use simulations and probability models
to compare theoretical and experimental
probabilities
•Are able to design or choose simulations or
experiments to model a probability situation
•Are able to make predictions based on validated
experimental or theoretical probabilities
•Are able to interpret the results of experiments
and simulations correctly
•Are able to communicate the outcome of
experiments and simulations clearly.
Present you findings to the group
and German Technical Co-Operation
Notional
Hours
4
6
National Certificate in Paper & Pulp Manufacturing NQF Level 4
US: 9015
Apply knowledge of statistics and probability to critically interrogate and
effectively communicate findings on life-related problems
RF410.55
Using probability and statistical
models
Be able to source and interpret
information from a variety of sources
including databases
Be able to manipulate data in different
ways to support opposing conclusions.
Be able to evaluate statistically based
arguments and make recommendations
and describe the use and misuse of
statistics in society
Be able to make comparisons between
predictions and actual occurrences.
Be able to make inferences about a
population on the basis of a sample
selected from it.
Critical Cross-field Outcomes
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
7
National Certificate in Paper & Pulp Manufacturing NQF Level 4
Topic Specification: TC55
Execute, test and
evaluate
Analyse, plan and
make decisions
Collect Information
Learning Activities
Use Multi media
Group/Self Study
Plant investigation
Media search
Assignment Description
W
H
A
T
Group Discussions
1.
Learners to split into two groups
2.
Group 1 identifies a problem to be
investigated in the manufacturing pulp and
paper.
3.
Group 2 collects data , manipulate data,
generate statistics from the data and
interpret and present conclusions
meaningfully to Group 1.
4.
Group 1 evaluate the assumptions,
potential sampling errors, representation of
the data and validity of conclusions and
accepts or rejects conclusion via critical
evaluation of statistical methods used by
Group 2.
Sketch
Case studies
Analyse/Calculate
Develop
recommendations
Job assignment
Make presentation
Complete documents
Draft a report
A group exercise where learners
source, interpret information and draw
statistically valid conclusions
HOW
Interview experts
Attend lectures
Using probability and statistical models
5.
Complete a
questionnaire
Commissioned by PAMSA
Topic assessment criteria
The assessor will observe and confirm
that learners:
• Are able to make inferences about a population
on the basis of a sample selected from it.
•Are able to define and critique assumptions in the
collection or generation of data and statistics
•Are able to correct use data, statistics and
probability models
•Are able to provide valid arguments to support
predictions or conculsions
•Are able to evaluate potential sources of bias or
errors in measurement are evaluated.
Group discussion on evaluation of Group 2
and the effect of errors in measurements.
Notional
Hours
4
and German Technical Co-Operation
8