Unit 4 Terms

Question 1

Stationary Point

Answer 1

Where derivative is 0

Question 2

Second Derivative

Answer 2

Assists to determine the nature of the stationary point. If the value is negative then its a max if its negative then its a min

Question 3

Global Max and Min

Answer 3

Occur at the end points of given domain.

Question 4

Relationship between acceleration, velocity and position

Answer 4

The derivative of position is velocity and the derivative of velocity is acceleration.

Question 5

Discrete Probability Distribution

Answer 5

Usually in a table with x on top and P(X=x) at the bottom which have a sum of 1.

Question 6

Bernouli Trials

Answer 6

Is an event with 2 possible outcomes, probability of success is constant throughout trials, and trails are independent of each other.

Question 7

Point of Inflection

Answer 7

Occurs when the double derivative is 0 (if there is more than 1 stationary point, a point of inflection exists)

Question 8

Heron’s Formula

Answer 8

A = ½bcsinA

Question 9

Sine Rule

Answer 9

a/sin A = b/sin B = c/sin C

(check answer: biggest angle has the largest side and smallest angle has smallest side)

Question 10

Ambiguous Case

Answer 10

Must check for it every time the sine rule is used.

Question 11

Cosine Rule

Answer 11

c² = a² + b² -2abcosC

Question 12

Random Sampling

Answer 12

When there is an equal probability of being selected

Question 13

Unit

Answer 13

A single member of a finite population

Question 14

Population

Answer 14

Is the set of units that make up a particular group

Question 15

Census

Answer 15

Measures characteristics from the entire population

Question 16

Sample

Answer 16

Is a subset of units taken from the entire population

Question 17

Parameter

Answer 17

Numerical measure that describes a characteristic of as population

Question 18

Statistics

Answer 18

Data from Sample

Question 19

Undercoverage Bias

Answer 19

This occurs when a random sample is taken that is not truly representative of the population you wish to target

Question 20

Nonresponse Bias

Answer 20

This occurs when a selected member cannot or will not corporate (eg people not willing to participate in a survey)

Question 21

Response Bias

Answer 21

This occurs when a selected member of the sample may lie or give misleading answers

Question 22

Population Proportion

Answer 22

This is the true proportion of the people or thing with a characteristic that occurs within the whole population.

Question 23

Sample Proportion

Answer 23

This is the number of people or thing with a characteristic that occurs within the same (observation) over the number in the sample.

Question 24

Sample Size

Answer 24

This is the number of people or things that make up the sample

Question 25

Observation

Answer 25

For any one sample, the number of people or things that posses a certain characteristic

Question 26

Positively Skewed

Answer 26

More likely to get less successes. Probability of Success is less than 0.5

Question 27

Neutral Skewed

Answer 27

Roughly in the centre P = 0.5

Question 28

Negatively Skewed

Answer 28

More likely to get higher success. Probability of success is mor than 0.5.

Question 29

What to write when interpreting result

Answer 29

Based on a sample ___ and a sample estimate of mean I am confidence interval (%) from interval from ___ to ____ contains a true population p.

Question 30

Non-Probability Sampling

Answer 30

There is no guarantee that each unit in the population has an equally likely chance of being selected.

Question 31

Types of Non-Probability Sampling

Answer 31

Convenience, purposive and snowball.

Question 32

What is convenience sampling?

Answer 32

Type of non-probability sampling and is a method of data collection from population members who are most conveniently able to participate in a survey.

Question 33

Purposive Sampling

Answer 33

Survey participants are selected purely based on the judgement of the researcher

Question 34

Snowball Sampling

Answer 34

Survey participants are encourages to use social networks and contacts to recruit additional participants.

Question 35

Probability Sampling

Answer 35

Uses random selection. Each unit in the population has an equally likely chance of being selected.