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MATH1005: Statistics (2019 - Semester 2)

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Unit: MATH1005: Statistics (3 CP)
Mode: Normal-Day
On Offer: Yes
Level: Junior
Faculty/School: School of Mathematics and Statistics
Unit Coordinator/s:
Session options: Semester 2
Versions for this Unit:
Campus: Camperdown/Darlington
Pre-Requisites: None.
Prohibitions: MATH1015, MATH1905, STAT1021, STAT1022, ECMT1010, ENVX1001
Brief Handbook Description: MATH1005 is designed to provide a thorough preparation for further study in mathematics and statistics. It is a core unit of study providing three of the twelve credit points required by the Faculty of Science as well as a Junior level requirement in the Faculty of Engineering. This unit offers a comprehensive introduction to data analysis, probability, sampling, and inference including t-tests, confidence intervals and chi-squared goodness of fit tests.
Assumed Knowledge: HSC Mathematics
Timetable: MATH1005 Timetable
T&L Activities: Lectures: Two 1 hour lectures and one 1 hour tutorial per week.

Practical Work:

Learning outcomes are the key abilities and knowledge that will be assessed in this unit. They are listed according to the course goal supported by each. See Assessment Tab for details how each outcome is assessed.

(1) Maths/ Science Methods and Tools (Level 1)
1. Be able to explain univariate and bivariate data by means of the five number summary, mean, variance and standard deviation, correlation coecient, boxplot, histogram and scatterplot;
2. Be able to find the least squares regression line as a way of describing a linear relationship in bivariate data;
3. Be able to use methods derived from the three axioms of probability to calculate the probabilities of simple events
4. Be able to understand the concept of a random variable and the meaning of the expected value and variance;
5. Be able to apply the Binomial distribution as a model for discrete data;
6. Be able to use the Normal distribution as a model for continuous data;
7. Be able to understand the central limit theorem;
8. Be able to understand the concept of hypotheses tests and P-values for finding evidence for or against simple null hypotheses, in particular using the binomial test for testing proportions, one- or two-sided z-, t- or sign-test for making inference about the population mean;
9. Be able to understand the concept of a confidence interval;
10. Be able to use the Chi-squared test for simple goodness of fit problems;
11. Be able to use the R statistical computing environment to obtain numerical and graphical summaries of data, and for performing various statistical calculations.
Assessment Methods:
# Name Group Weight Due Week Outcomes
1 Assignment Yes 5.00 Week 6 1,
2 Quiz 1 No 15.00 Week 8 1, 2, 3, 4, 5,
3 Quiz 2 No 15.00 Week 12 6, 7, 8, 9,
4 Final Exam No 65.00 Exam Period 2, 3, 4, 5, 6, 7, 8, 9, 10, 11,
Assessment Description: One 1.5 hour examination, assignments and quizzes (100%)
Note on Resources: As set out in the Junior Mathematics Handbook

Note that the "Weeks" referred to in this Schedule are those of the official university semester calendar https://web.timetable.usyd.edu.au/calendar.jsp

Week Description
Week 6 Assessment Due: Assignment
Week 8 Assessment Due: Quiz 1
Week 12 Assessment Due: Quiz 2
Exam Period Assessment Due: Final Exam

Course Relations

The following is a list of courses which have added this Unit to their structure.

Course Year(s) Offered
Aeronautical/Science (Medical Science Stream) 2018, 2019
Aeronautical (till 2014) 2010, 2011, 2012, 2013, 2014
Aeronautical Engineering / Arts 2011, 2012, 2013, 2014
Aeronautical Engineering / Commerce 2010, 2011, 2012, 2013, 2014
Aeronautical Engineering / Medical Science 2011, 2012, 2013, 2014
Aeronautical Engineering / Project Management 2012, 2013, 2014
Aeronautical Engineering / Science 2011, 2012, 2013, 2014
Aeronautical Engineering / Law 2010, 2011, 2012, 2013, 2014
Aeronautical Engineering (Space) / Commerce 2010, 2011, 2012, 2013, 2014
Aeronautical (Space) (till 2014) 2010, 2011, 2012, 2013, 2014
Aeronautical Engineering (Space) / Arts 2011, 2012, 2013, 2014
Aeronautical Engineering (Space) / Medical Science 2011, 2012, 2013, 2014
Aeronautical Engineering (Space) / Project Management 2012, 2013, 2014
Aeronautical Engineering (Space) / Science 2011, 2012, 2013, 2014
Aeronautical Engineering (Space) / Law 2010, 2011, 2012, 2013, 2014
Biomedical Engineering / Law 2013, 2014
Biomedical Engineering / Arts 2013, 2014
Biomedical Engineering / Commerce 2013, 2014
Biomedical Engineering / Medical Science 2013, 2014
Biomedical Engineering / Project Management 2013, 2014
Biomedical Engineering / Science 2013, 2014
Biomedical - Chemical and Biomolecular Major 2013, 2014, 2015
Biomedical - Electrical Major 2013, 2014
Biomedical - Information Technology Major 2013, 2014, 2015
Biomedical - Mechanical Major 2013, 2014, 2015
Biomedical - Mechatronics Major 2013, 2014, 2015
Chemical & Biomolecular (till 2014) 2010, 2011, 2012, 2013, 2014
Chemical & Biomolecular Engineering / Arts 2011, 2012, 2013, 2014
Chemical & Biomolecular Engineering / Commerce 2010, 2011, 2012, 2013, 2014
Chemical & Biomolecular Engineering / Medical Science 2011, 2012, 2013, 2014
Chemical & Biomolecular Engineering / Science 2011, 2012, 2013, 2014
Chemical & Biomolecular Engineering / Law 2010, 2011, 2012, 2013, 2014
Chemical & Biomolecular Engineering / Project Management 2012, 2013, 2014
Civil (till 2014) 2010, 2011, 2012, 2013, 2014
Civil Engineering / Arts 2011, 2012, 2013, 2014
Civil Engineering / Commerce 2010, 2011, 2012, 2013, 2014
Civil Engineering / Design in Architecture 2010, 2011, 2012, 2013, 2014
Civil Engineering / Medical Science 2011, 2012, 2013, 2014
Civil Engineering / Project Management 2012, 2013, 2014
Civil Engineering / Science 2011, 2012, 2013, 2014
Civil (Construction Management) (till 2014) 2011, 2012, 2013, 2014
Civil (Environmental) (till 2014) 2011, 2012, 2013, 2014
Civil (Geotechnical) (till 2014) 2011, 2012, 2013, 2014
Civil Engineering / Law 2010, 2011, 2012, 2013, 2014
Civil (Structures) (till 2014) 2011, 2012, 2013, 2014
Computer Engineering (till 2010) 2010
Computer Engineering / Commerce 2010
Electrical (till 2014) 2010, 2011, 2012, 2013, 2014
Electrical Engineering / Arts 2011, 2012, 2013, 2014
Electrical Engineering / Commerce 2010, 2011, 2012, 2013, 2014
Electrical (Bioelectronics) (till 2012) 2011, 2012
Electrical Engineering (Bioelectronics) / Arts 2011, 2012
Electrical Engineering (Bioelectronics) / Commerce 2011, 2012
Electrical Engineering (Bioelectronics) / Medical Science 2011, 2012
Electrical Engineering (Bioelectronics) / Science 2011, 2012
Electrical Engineering (Bioelectronics) / Law 2011, 2012
Electrical Engineering / Medical Science 2011, 2012, 2013, 2014
Electrical Engineering / Project Management 2012, 2013, 2014
Electrical Engineering / Science 2011, 2012, 2013, 2014
Electrical (Computer) (till 2014) 2011, 2012, 2013, 2014
Electrical Engineering (Computer) / Arts 2011, 2012, 2013, 2014
Electrical Engineering (Computer) / Commerce 2011, 2012, 2013, 2014
Electrical Engineering (Computer) / Medical Science 2011, 2013, 2014
Electrical Engineering (Computer) / Science 2011, 2012, 2013, 2014
Electrical Engineering (Computer) / Law 2011, 2012, 2013, 2014
Electrical (Power) (till 2014) 2010, 2011, 2012, 2013, 2014
Electrical Engineering (Power) / Arts 2011, 2012, 2013, 2014
Electrical Engineering (Power) / Commerce 2010, 2011, 2012, 2013, 2014
Electrical Engineering (Power) / Medical Science 2011, 2012, 2013, 2014
Electrical Engineering (Power) / Project Management 2012, 2013, 2014
Electrical Engineering (Power) / Science 2011, 2012, 2013, 2014
Electrical Engineering (Power) / Law 2010, 2011, 2012, 2013, 2014
Electrical (Telecommunications) (till 2014) 2011, 2012, 2013, 2014
Electrical Engineering (Telecommunications) / Arts 2011, 2012, 2013, 2014
Electrical Engineering (Telecommunications) / Commerce 2011, 2012, 2013, 2014
Electrical Engineering (Telecommunications) / Medical Science 2011, 2012, 2013, 2014
Electrical Engineering (Telecommunications) / Science 2011, 2012, 2013, 2014
Electrical Engineering (Telecommunications) / Law 2011, 2012, 2013, 2014
Aeronautical Mid-Year 2016, 2017, 2018, 2019
Aeronautical/ Project Management 2019
Aeronautical 2015, 2016, 2017, 2018, 2019
Aeronautical / Arts 2015, 2016, 2017, 2018, 2019
Aeronautical / Commerce 2015, 2016, 2017, 2018, 2019
Aeronautical / Medical Science 2015, 2016, 2017
Aeronautical / Music Studies 2016, 2017
Aeronautical / Project Management 2015, 2016, 2017, 2018
Aeronautical / Science 2015, 2016, 2017, 2018, 2019
Aeronautical/Science (Health) 2018, 2019
Aeronautical / Law 2015, 2016, 2017, 2018, 2019
Aeronautical (Space) 2015
Aeronautical (Space) / Arts 2015
Aeronautical (Space) / Commerce 2015
Aeronautical (Space) / Medical Science 2015
Aeronautical (Space) / Project Management 2015
Aeronautical (Space) / Science 2015
Aeronautical (Space) / Law 2015
Biomedical Mid-Year 2016, 2017, 2018, 2019
Biomedical/ Project Management 2019
Biomedical 2016, 2017, 2018, 2019
Biomedical / Arts 2015, 2016, 2017, 2018, 2019
Biomedical / Commerce 2015, 2016, 2017, 2018, 2019
Biomedical / Medical Science 2015, 2016, 2017
Biomedical / Music Studies 2016, 2017
Biomedical / Project Management 2015, 2016, 2017, 2018
Biomedical /Science 2015, 2016, 2017, 2018, 2019
Biomedical/Science (Health) 2018, 2019
Biomedical - Electrical Major 2015
Biomedical / Law 2015, 2016, 2017, 2018, 2019
Chemical & Biomolecular 2015, 2016, 2017, 2018, 2019
Chemical & Biomolecular / Arts 2015, 2016, 2017, 2018, 2019
Chemical & Biomolecular / Commerce 2015, 2016, 2017, 2018, 2019
Chemical & Biomolecular / Medical Science 2015, 2016, 2017
Chemical & Biomolecular / Music Studies 2016, 2017
Chemical & Biomolecular / Project Management 2015, 2016, 2017, 2018
Chemical & Biomolecular / Science 2015, 2016, 2017, 2018, 2019
Chemical & Biomolecular/Science (Health) 2018, 2019
Chemical & Biomolecular / Law 2015, 2016, 2017, 2018, 2019
Chemical & Biomolecular Mid-Year 2016, 2017, 2018, 2019
Chemical & Biomolecular/ Project Management 2019
Civil/ Project Management 2019
Civil 2015, 2016, 2017, 2018, 2019
Civil / Arts 2015, 2016, 2017, 2018, 2019
Civil / Commerce 2015, 2016, 2017, 2018, 2019
Civil / Design in Architecture 2015, 2016, 2017, 2018, 2019
Civil / Medical Science 2015, 2016, 2017
Civil / Music Studies 2016, 2017
Civil / Project Management 2015, 2016, 2017, 2018
Civil / Science 2015, 2016, 2017, 2018, 2019
Civil/Science (Health) 2018, 2019
Civil (Construction Management) 2015
Civil (Environmental) 2015
Civil (Geotechnical) 2015
Civil / Law 2015, 2016, 2017, 2018, 2019
Civil (Structures) 2015
Civil Mid-Year 2016, 2017, 2018, 2019
Electrical Mid-Year 2016, 2017, 2018, 2019
Electrical/ Project Management 2019
Electrical 2015, 2016, 2017, 2018, 2019
Electrical / Arts 2015, 2016, 2017, 2018, 2019
Electrical / Commerce 2015, 2016, 2017, 2018, 2019
Electrical / Medical Science 2015, 2016, 2017
Electrical / Music Studies 2016, 2017
Electrical / Project Management 2015, 2016, 2017, 2018
Electrical / Science 2015, 2016, 2017, 2018, 2019
Electrical/Science (Health) 2018, 2019
Electrical (Computer) 2015
Electrical (Computer) / Arts 2015
Electrical (Computer) / Commerce 2015
Electrical (Computer) / Medical Science 2015
Electrical (Computer) / Project Management 2015
Electrical (Computer) / Science 2015
Electrical (Computer) / Law 2015
Electrical / Law 2015, 2016, 2017, 2018, 2019
Electrical (Power) 2015
Electrical (Power) / Arts 2015
Electrical (Power) / Commerce 2015
Electrical (Power) / Medical Science 2015
Electrical (Power) / Project Management 2015
Electrical (Power) / Science 2015
Electrical (Power) / Law 2015
Electrical (Telecommunications) 2015
Electrical (Telecommunications) / Arts 2015
Electrical (Telecommunications) / Commerce 2015
Electrical (Telecommunications) / Medical Science 2015
Electrical (Telecommunications) / Project Management 2015
Electrical (Telecommunications) / Science 2015
Electrical (Telecommunications) / Law 2015
Mechanical Mid-Year 2016, 2017, 2018, 2019
Mechanical/ Project Management 2019
Mechanical 2015, 2016, 2017, 2018, 2019
Mechanical / Arts 2015, 2016, 2017, 2018, 2019
Mechanical / Commerce 2015, 2016, 2017, 2018, 2019
Mechanical / Medical Science 2015, 2016, 2017
Mechanical / Music Studies 2016, 2017
Mechanical / Project Management 2015, 2016, 2017, 2018
Mechanical / Science 2015, 2016, 2017, 2018, 2019
Mechanical/Science(Health) 2018, 2019
Mechanical / Law 2015, 2016, 2017, 2018, 2019
Mechanical (Space) 2015
Mechanical (Space) / Arts 2015
Mechanical (Space) / Commerce 2015
Mechanical (Space) / Medical Science 2015
Mechanical (Space) / Project Management 2015
Mechanical (Space) / Science 2015
Mechanical (Space) / Law 2015
Mechatronic Mid-Year 2016, 2017, 2018, 2019
Mechatronic/ Project Management 2019
Mechatronic 2015, 2016, 2017, 2018, 2019
Mechatronic / Arts 2015, 2016, 2017, 2018, 2019
Mechatronic / Commerce 2015, 2016, 2017, 2018, 2019
Mechatronic / Medical Science 2015, 2016, 2017
Mechatronic / Music Studies 2016, 2017
Mechatronic / Project Management 2015, 2016, 2017, 2018
Mechatronic / Science 2015, 2016, 2017, 2018, 2019
Mechatronic/Science (Health) 2018, 2019
Mechatronic / Law 2015, 2016, 2017, 2018, 2019
Mechatronic (Space) 2015
Mechatronic (Space) / Arts 2015
Mechatronic (Space) / Commerce 2015
Mechatronic (Space) / Medical Science 2015
Mechatronic (Space) / Project Management 2015
Mechatronic (Space) / Science 2015
Mechatronic (Space) / Law 2015
Software Mid-Year 2016, 2017, 2018, 2019
Software/ Project Management 2019
Software 2015, 2016, 2017, 2018, 2019
Software / Arts 2015, 2016, 2017, 2018, 2019
Software / Commerce 2015, 2016, 2017, 2018, 2019
Software / Medical Science 2015, 2016, 2017
Software / Music Studies 2016, 2017
Software / Project Management 2015, 2016, 2017, 2018
Software / Science 2015, 2016, 2017, 2018, 2019
Software/Science (Health) 2018, 2019
Software / Law 2015, 2016, 2017, 2018, 2019
Mechanical (till 2014) 2010, 2011, 2012, 2013, 2014
Mechanical Engineering / Arts 2011, 2012, 2013, 2014
Mechanical Engineering / Commerce 2010, 2011, 2012, 2013, 2014
Mechanical (Biomedical) (till 2014) 2010, 2011, 2012
Mechanical Engineering (Biomedical) / Arts 2011, 2012
Mechanical Engineering (Biomedical) / Commerce 2010, 2011, 2012
Mechanical Engineering (Biomedical) / Medical Science 2010, 2011, 2012
Mechanical Engineering (Biomedical) / Project Management 2012
Mechanical Engineering (Biomedical) / Science 2011, 2012
Mechanical Engineering (Biomedical) / Law 2010, 2011, 2012
Mechanical Engineering / Medical Science 2011, 2012, 2013, 2014
Mechanical Engineering / Project Management 2012, 2013, 2014
Mechanical Engineering / Science 2011, 2012, 2013, 2014
Mechanical Engineering / Law 2010, 2011, 2012, 2013, 2014
Mechanical (Space) (till 2014) 2010, 2011, 2012, 2013, 2014
Mechanical Engineering (Space) / Arts 2011, 2012, 2013, 2014
Mechanical Engineering (Space) / Commerce 2010, 2011, 2012, 2013, 2014
Mechanical Engineering (Space) / Medical Science 2012, 2013, 2014
Mechanical Engineering (Space) / Project Management 2012, 2013, 2014
Mechanical Engineering (Space) / Science 2011, 2012, 2013, 2014
Mechatronic (till 2014) 2010, 2011, 2012, 2013, 2014
Mechatronic Engineering / Arts 2011, 2012, 2013, 2014
Mechatronic Engineering / Commerce 2010, 2011, 2012, 2013, 2014
Mechatronic Engineering / Medical Science 2011, 2012, 2013, 2014
Mechatronic Engineering / Project Management 2012, 2013, 2014
Mechatronic Engineering / Science 2011, 2012, 2013, 2014
Mechatronic (Space) (till 2014) 2010, 2011, 2012, 2013, 2014
Mechatronic Engineering (Space) / Arts 2011, 2012, 2013, 2014
Mechatronic Engineering (Space) / Commerce 2010, 2011, 2012, 2013, 2014
Mechatronic Engineering (Space) / Medical Science 2011, 2012, 2013, 2014
Mechatronic Engineering (Space) / Project Management 2012, 2013, 2014
Mechatronic Engineering (Space) / Science 2011, 2012, 2013, 2014
Mechatronic Engineering (Space) / Law 2010, 2011, 2012, 2013, 2014
Project Engineering and Management (Civil) (till 2012) 2010, 2011, 2012
Project Engineering and Management (Civil) / Arts 2011
Project Engineering and Management (Civil) / Commerce 2010, 2011
Project Engineering and Management (Civil) / Science 2011
Software Engineering (till 2014) 2010, 2011, 2012, 2013, 2014
Software Engineering / Arts 2011, 2012, 2013, 2014
Software Engineering / Commerce 2010, 2011, 2012, 2013, 2014
Software Engineering / Medical Science 2011, 2012, 2013, 2014
Software Engineering / Project Management 2012, 2013, 2014
Software Engineering / Science 2011, 2012, 2013, 2014
Software Engineering / Law 2010, 2011, 2012, 2013, 2014
Telecommunications (till 2010) 2010
Biomedical/Science (Medical Science Stream) 2018, 2019
Information Technology (Computer Science)/Arts 2012, 2013, 2014
Information Technology (Computer Science) / Commerce 2012, 2013, 2014
Information Technology (Computer Science) / Medical Science 2012, 2013, 2014
Information Technology (Computer Science) / Science 2012, 2013, 2014
Information Technology (Computer Science) / Law 2012, 2013, 2014
Information Technology (Information Systems)/Arts 2012, 2013, 2014
Information Technology (Information Systems) / Commerce 2012, 2013, 2014
Information Technology (Information Systems) / Medical Science 2012, 2013, 2014
Information Technology (Information Systems) / Science 2012, 2013, 2014
Information Technology (Information Systems) / Law 2012, 2013, 2014
Bachelor of Project Management/Bachelor of Arts 2016, 2017
Bachelor of Project Management (Built Environment) 2012, 2013, 2014, 2015, 2016, 2017, 2018
Bachelor of Project Management (Built Environment) Mid-Year 2016, 2017, 2018
Bachelor of Project Management (Civil Engineering Science) 2012, 2013, 2014, 2015, 2016, 2017, 2018
Bachelor of Project Management (Civil Engineering Science) Mid-Year 2016, 2017, 2018
Bachelor of Project Management (Software) Mid-Year 2016, 2017, 2018
Bachelor of Project Management (Software) 2012, 2013, 2014, 2015, 2016, 2017, 2018
Chemical & Biomolecular/Science (Medical Science Stream) 2018, 2019
Civil/Science (Medical Science Stream) 2018, 2019
Electrical/Science (Medical Science Stream) 2018, 2019
Flexible First Year (2016+) 2016, 2017, 2018, 2019
Flexible First Year 2016+ / Arts 2016, 2017, 2018, 2019
Flexible First Year 2016+ / Commerce 2016, 2017, 2018, 2019
Flexible First Year 2016+ / Medical Science 2016, 2017
Flexible First Year 2016+ / Music Studies 2016, 2017
Flexible First Year 2016+ / Project Management 2016, 2017, 2018
Flexible First Year 2016+ / Science 2016, 2017, 2018, 2019
Flexible First Year 2016+ / Science (Health) 2019
Flexible First Year 2016+ / Science (Medical Science Stream) 2018, 2019
Flexible First Year 2016+ / Law 2016, 2017, 2018, 2019
Flexible First Year 2019+ /Project Management 2019
Flexible First Year Program: STREAM A 2015, 2010, 2011, 2012, 2013, 2014
Flexible First Year (Stream A) / Arts 2015, 2013, 2014
Flexible First Year (Stream A) / Commerce 2015, 2011, 2012, 2013, 2014
Flexible First Year (Stream A) / Medical Science 2015, 2012, 2013, 2014
Flexible First Year (Stream A) / Project Management 2015
Flexible First Year (Stream A) / Science 2015, 2012, 2013, 2014
Flexible First Year (Stream B) / Medical Science 2012, 2013
Mechanical/Science (Medical Science Stream) 2018, 2019
Mechatronic/Science (Medical Science Stream) 2018, 2019
Software/Science (Medical Science Stream) 2018, 2019
Bachelor of Computer Science and Technology 2015, 2016, 2017
Bachelor of Computer Science and Technology (Advanced) 2015, 2016, 2017
Bachelor of Computer Science and Technology (Computer Science) 2014 and earlier 2009, 2010, 2011, 2012, 2013, 2014
Bachelor of Computer Science and Technology (Computer Science)(Advanced) 2014 and earlier 2013, 2014
Bachelor of Computer Science and Technology (Information Systems) 2014 and earlier 2010, 2011, 2012, 2013, 2014
Bachelor of Computer Science and Technology (Information Systems)(Advanced) 2014 and earlier 2013, 2014
Bachelor of Computer Science & Tech. Mid-Year 2016, 2017
Bachelor of Information Technology 2015, 2016, 2017
Bachelor of Information Technology/Bachelor of Arts 2015, 2016, 2017
Bachelor of Information Technology/Bachelor of Commerce 2015, 2016, 2017
Bachelor of Information Technology/Bachelor of Medical Science 2015, 2016, 2017
Bachelor of Information Technology/Bachelor of Science 2015, 2016, 2017
Bachelor of Information Technology (Computer Science) 2014 and earlier 2009, 2010, 2011, 2012, 2013, 2014
Bachelor of Information Technology (Information Systems) 2014 and earlier 2010, 2011, 2012, 2013, 2014
Bachelor of Information Technology/Bachelor of Laws 2015, 2016, 2017

Course Goals

This unit contributes to the achievement of the following course goals:

Attribute Practiced Assessed
(1) Maths/ Science Methods and Tools (Level 1) No 100%

These goals are selected from Engineering & IT Graduate Outcomes Table 2018 which defines overall goals for courses where this unit is primarily offered. See Engineering & IT Graduate Outcomes Table 2018 for details of the attributes and levels to be developed in the course as a whole. Percentage figures alongside each course goal provide a rough indication of their relative weighting in assessment for this unit. Note that not all goals are necessarily part of assessment. Some may be more about practice activity. See Learning outcomes for details of what is assessed in relation to each goal and Assessment for details of how the outcome is assessed. See Attributes for details of practice provided for each goal.