Statistics Test 1
Parameter
(population) numerical value summarizes data for population
statistic
(sample) numerical value summarizes data for sample
Identify the population: The number of hours a group of 6 children in Mrs. Smith's kindergarten class sleeps in a day.
All children in Mrs. Smith's kindergarten class
How many people weigh in the range from 120 to 170 inclusive?
Count all weights from 120-170
Find the class width for this histogram.
Count between test scores. EX: 75.5-80.5 Class width: 5
A sports writer studies the batting average, walk to strikeout ratio, and home runs hit for a certain baseball player for three weeks for an article
Example of Case Study
Include each member of the entire population.
Example of Census
Heights of trees are an example of which type of data?
Example of Continuous
In order to save time, a biologist hand-selects the last ten people to leave to be studied in depth.
Example of Convenience Sampling
The average price of a car at the new car dealership in town is $28,700
Example of Descriptive Statistic
IQ scores, reported in whole numbers, of research scientists are an example of which type of data?
Example of Discrete
A recent poll of 3343 luxury car owners in West Virginia showed that the average price of a luxury car in the U.S. is $33,800.
Example of Inferential Statistic
Boiling points (in degrees Celsius) for various substances
Example of Interval
A police chief compares fifteen newspaper articles about crime prevention.
Example of Meta-Analysis
Colors of cats owned by a sample of households
Example of Nominal
Educational level as reported in the census (Elementary school, High school graduate, Some college, etc.)
Example of Ordinal
The types of cars of all the coaches in the NFL.
Example of Population
51% of all babies born at the local hospital last year were boys.
Example of Population Parameter
Hair colors are an example of which type of data?
Example of Qualitative
Yards a running back rushes for during a football game are an example of which type of data?
Example of Quantitative
The total dollar value of all items in a safe
Example of Ratio
The heights of 14 out of the 31 cucumber plants at Mr. Lonardo's greenhouse
Example of Sample
A recent poll of 1771 corporate executives showed that the average price of their cars is $39,400
Example of Sample Statistic
A survey of 459 people in the U.S. revealed that 62% of those surveyed eat while they drive.
Example of Sample Statistic
An experiment in which only the subject does not realize whether they have been placed in the experimental or control group is
Example of Single Blind
A school administrator chooses twenty people at random from each math class.
Example of Stratified Sampling
First, the population is subdivided by city. Then a quality assurance analyst uses a random number generator to select twenty-five members from each city to study.
Example of Stratified Sampling
After a political strategist has enumerated a sampling frame, he picks a random starting point and chooses every fiftieth member.
Example of Systematic Sampling
These are both what type of sampling? A random number generator is used to choose fifteen regions. Then a college student collects data from each person in these regions. A statistics student interviews each member from each of the ten randomly chosen voting districts in a county.
Examples of Cluster Sampling
IRB
Institutional Review Board
When conducting legal experiments on animals, a researcher needs to obtain consent from the:
Institutional Review Board
Identify the population being studied and the sample chosen: The heights of 4 out of the 35 okra plants at Mr. Lonardo's greenhouse.
Population: The 35 okra plants at Mr. Lonardo's greenhouse Sample: The 4 okra plants at Mr. Lonardo's greenhouse
systematic sampling
Selecting every nth member of the population
Data on graph is higher on the right
Skewed to the left
Data on graph is higher on the left
Skewed to the right
To find class width:
Take 1st number of frequency in the second row and subtract from 1st number in the row above it. EX: 12-20 21-29 Subtract 21-12. Class width= 9
Identify the Sample: The number of hours a group of 12 children in Mrs. Smith's kindergarten class sleep in a day.
The 12 Children in Mrs. Smith's kindergarten class
Straight line on a graph
Uniform
sample
a subset of the population
Histogram
bar graph that displays frequency of quantitive data
quota sample
choosing specific amount for each subgroup
relative frequency
class frequency / sum of all frequencies
descriptive
collect/describe
statistics
collecting, describing, and interpretive data
discrete
countable
longitudinal study
data collected of series of time
representative sample
data collected, looks like population Ex: age, race, gender
nominal
describes names where order can not be assigned ex: Eye color
simple random sample
every sample has an equal chance of being selected
stem and leaf plot
graph of quantitative data split into 2 parts
meta-analysis
inside a study there is a summary of previous studies
inferential
interpret
cluster sample
into clusters (groups) each cluster is rep. then ordinary select clusters
Qualitative
labels/describes
case study
multiple variables that effect a single event
Pareto Chart
nominal data only. bar graph in descending order
Quantative
numbers
stratified sample
numbers divided into 2 or more subgroups, then random final each subgroup
ordinal
ordered position/rank ex: classification
random sample
population at random. whole population
response variable
responds to treatment
Convienience Sample
selecting out of connivence
cross-sectional study
single point in time for data collected
Variable
some characteristic of interest from population or sample
double blind
subjects and researchers don't know what group they are in
single blind
subjects do not know which treatment they are receiving
Reflective on a graph
symmetrical
Population
the entire collection of data to be analyzed (big)
Frequency
the number of times something happens
continuous
uncountable ex: time
piechart
used for qualitative data, shows parts of a whole
bargraph
uses bars to represent amount of data in a category