##### STUDY GUIDES

##### SETS

How do you check if there is outliers?

If a graph is skewed, should we calcula…

If a graph is roughly symmetrical, shou…

What is in the five number summary?

calculate IQR; anything above Q3+1.5(IQR) or below Q1-1.5(IQR)…

median; it is resistant to skews and outliers

mean; generally is more accurate if the data has no outliers

Minimum, Q1, Median, Q3, Maximum

How do you check if there is outliers?

calculate IQR; anything above Q3+1.5(IQR) or below Q1-1.5(IQR)…

If a graph is skewed, should we calcula…

median; it is resistant to skews and outliers

How do you check if there is outliers?

If a graph is skewed, should we calcula…

If a graph is roughly symmetrical, shou…

What is in the five number summary?

calculate IQR; anything above Q3+1.5(IQR) or below Q1-1.5(IQR)…

median; it is resistant to skews and outliers

mean; generally is more accurate if the data has no outliers

Minimum, Q1, Median, Q3, Maximum

How do you check if there is outliers?

calculate IQR; anything above Q3+1.5(IQR) or below Q1-1.5(IQR)…

If a graph is skewed, should we calcula…

median; it is resistant to skews and outliers

Significance Test

Null Hypothesis

Alternative Hypthesis

One-Sided

A formal procedure for using observed data to decide between t…

Claim we weigh evidence against in a significance test

The claim that we are trying to find evidence for in a signifi…

It states that a parameter is larger than the null hypothesis…

Significance Test

A formal procedure for using observed data to decide between t…

Null Hypothesis

Claim we weigh evidence against in a significance test

Sampling distribution of p̂1 - p̂2

conditions for testing a hypothesis abo…

conditions for a confidence interval fo…

Standard error of p1-p2

choose a SRS of size n1 from population 1 with proportion of s…

Random: 2 independent SRSs or 2 groups in a randomized experim…

Random: 2 independent SRSs or 2 groups in a randomized experim…

the estimated standard deviation of the statistic is given by…

Sampling distribution of p̂1 - p̂2

choose a SRS of size n1 from population 1 with proportion of s…

conditions for testing a hypothesis abo…

Random: 2 independent SRSs or 2 groups in a randomized experim…

Conditions for Bernoulli Trials

Geometric probability model

Mean & Standard Deviation of Geometic m…

Binomial probability model

1. There are two possible outcomes (success and failure).... 2. t…

- Tells us the probability for a random variable that counts t…

Mean = 1/p... SD = sqrt(q)/p

- Tells us the probabilty for a random variable that counts th…

Conditions for Bernoulli Trials

1. There are two possible outcomes (success and failure).... 2. t…

Geometric probability model

- Tells us the probability for a random variable that counts t…

Probability

Law of Large Numbers

Simulation

Performing a Simulation

A number between 0 and 1 that describes the proportion of time…

If we observe more and more repetitions of any chance process,…

An imitation of chance behavior based on a model that accurate…

1. State: Ask a question of interest.... 2. Plan: Describe how to…

Probability

A number between 0 and 1 that describes the proportion of time…

Law of Large Numbers

If we observe more and more repetitions of any chance process,…

Categorical vs. Quantitative Data

Marginal vs. Conditional Distributions

SOCS

Comparing... Distributions

Data are categorical if they fall into groups or... categories a…

In a two-way table, marginal distributions consider... only one…

Shape - Skewed Left, Skewed Right, Symmetric,... Uniform, Unimod…

Address: Shape, Outliers, Center, Spread... in context!... YOU MUS…

Categorical vs. Quantitative Data

Data are categorical if they fall into groups or... categories a…

Marginal vs. Conditional Distributions

In a two-way table, marginal distributions consider... only one…

Percentile

Frequency Graph

Relative Frequency Graph

Cumulative Relative Frequency Graph

The pth percentile of a distribution is the value with p perce…

A graph showing the counts of each class in a distribution.

A graph showing the percent values of each class from the whol…

The cumulative relative frequency of successive class is the r…

Percentile

The pth percentile of a distribution is the value with p perce…

Frequency Graph

A graph showing the counts of each class in a distribution.

5 number summary

z score

standard deviation

population

The minumum value, lower quartile, median, upper quartile, and…

a measure of how many standard deviations you are away from th…

A statistical measure of how far away each value is, on averag…

(statistics) the entire aggregation of items from which sample…

5 number summary

The minumum value, lower quartile, median, upper quartile, and…

z score

a measure of how many standard deviations you are away from th…

Bias

Census

Cluster sample

Convenience sample

The design of a statistical study shows bias if it would consi…

A study that attempts to collect data from every individual in…

To take this sample, first divide the population into smaller…

A sample selected by taking the members of the population that…

Bias

The design of a statistical study shows bias if it would consi…

Census

A study that attempts to collect data from every individual in…

Bias

Census

Cluster sample

Convenience sample

The design of a statistical study shows bias if it would consi…

A study that attempts to collect data from every individual in…

To take a cluster sample, first divide the population into sma…

A sample selected by taking the members of the population that…

Bias

The design of a statistical study shows bias if it would consi…

Census

A study that attempts to collect data from every individual in…

5 number summary

z score

standard deviation

population

The minumum value, lower quartile, median, upper quartile, and…

a measure of how many standard deviations you are away from th…

A statistical measure of how far away each value is, on averag…

(statistics) the entire aggregation of items from which sample…

5 number summary

The minumum value, lower quartile, median, upper quartile, and…

z score

a measure of how many standard deviations you are away from th…

5 number summary

z score

standard deviation

population

The minumum value, lower quartile, median, upper quartile, and…

a measure of how many standard deviations you are away from th…

A statistical measure of how far away each value is, on averag…

(statistics) the entire aggregation of items from which sample…

5 number summary

The minumum value, lower quartile, median, upper quartile, and…

z score

a measure of how many standard deviations you are away from th…

How do you check if there is outliers?

If a graph is skewed, should we calcula…

If a graph is roughly symmetrical, shou…

What is in the five number summary?

calculate IQR; anything above Q3+1.5(IQR) or below Q1-1.5(IQR)…

median; it is resistant to skews and outliers

mean; generally is more accurate if the data has no outliers

Minimum, Q1, Median, Q3, Maximum

How do you check if there is outliers?

calculate IQR; anything above Q3+1.5(IQR) or below Q1-1.5(IQR)…

If a graph is skewed, should we calcula…

median; it is resistant to skews and outliers

Variables

Categorical Variable

Quantitative Variable

Frequency Table Description

Characteristic of an individual

Places individual into a category

Takes numerical values for which it makes sense to find an ave…

Table of counts

Variables

Characteristic of an individual

Categorical Variable

Places individual into a category

Significance Test

Null Hypothesis

Alternative Hypthesis

One-Sided

A formal procedure for using observed data to decide between t…

The claim that the given parameter is true.

The claim that the given parameter is NOT true

It states that a parameter is larger than the null hypothesis…

Significance Test

A formal procedure for using observed data to decide between t…

Null Hypothesis

The claim that the given parameter is true.

Bias

Census

Cluster sample

Convenience sample

The design of a statistical study shows bias if it would consi…

A study that attempts to collect data from every individual in…

To take this sample, first divide the population into smaller…

A sample selected by taking the members of the population that…

Bias

The design of a statistical study shows bias if it would consi…

Census

A study that attempts to collect data from every individual in…

parameter

statistic

sampling variability

sampling distribution

a number that describes some characteristics of the population

a number that describes some characteristic of a sample

value of a statistic varies in repeated random sampling

the distribution of values taken by the statistic in all possi…

parameter

a number that describes some characteristics of the population

statistic

a number that describes some characteristic of a sample

Variables

Categorical Variable

Quantitative Variable

Frequency Table

Characteristic of an individual

Places individual into a category

Takes numerical values for which it makes sense to find an ave…

Table of counts

Variables

Characteristic of an individual

Categorical Variable

Places individual into a category

Bias

Census

Cluster sample

Convenience sample

The design of a statistical study shows bias if it would consi…

A study that attempts to collect data from every individual in…

To take a cluster sample, first divide the population into sma…

A sample selected by taking the members of the population that…

Bias

The design of a statistical study shows bias if it would consi…

Census

A study that attempts to collect data from every individual in…

variable

categorical variable

quantitative variable

frequency table

holds information about the same characteristic for many subje…

where the data collected places the individuals in various cat…

where the data collected is numerical and it makes sense to us…

lists the categories for a categorical variable and displays t…

variable

holds information about the same characteristic for many subje…

categorical variable

where the data collected places the individuals in various cat…

5 number summary

z score

standard deviation

population

The minumum value, lower quartile, median, upper quartile, and…

a measure of how many standard deviations you are away from th…

A statistical measure of how far away each value is, on averag…

(statistics) the entire aggregation of items from which sample…

5 number summary

The minumum value, lower quartile, median, upper quartile, and…

z score

a measure of how many standard deviations you are away from th…

Percentile

Frequency Graph

Relative Frequency Graph

Cumulative Relative Frequency Graph

The pth percentile of a distribution is the value with p perce…

A graph showing the counts of each class in a distribution.

A graph showing the percent values of each class from the whol…

The cumulative relative frequency of successive class is the r…

Percentile

The pth percentile of a distribution is the value with p perce…

Frequency Graph

A graph showing the counts of each class in a distribution.