Transcript chap1 sec1P
Definition of Data
Data consist of information
coming from observations, counts,
measurements, or responses.
Definition of Statistics
Statistics is the science of:
- collecting
- organizing
- analyzing
- interpreting
data in order to make decisions.
Data Sets
Population:
all outcomes, responses,
measurements, or counts
Sample:
a subset, or part, of a population
Example
A survey of 10000 adults found that 59% think
buying a home is the best investment a family
can make.
What is the population?
What is the sample?
Example
A survey of 10000 adults found that 59% think
buying a home is the best investment a family
can make.
What is the population?
The set of responses of all adults in
U.S.
What is the sample?
Example
A survey of 1000 adults found that 59% think
buying a home is the best investment a family
can make.
What is the sample?
The set of the responses of the 1000
adult surveyed.
Example
A tire manufacturer wants to
estimate the average life of a
new type of steel belted radial
tire.
descriptive study?
inferential study?
A tire manufacturer wants to estimate the
average life of a new type of steel belted radial
tire.
Will the manufacturer look at all tires?
Will the manufacturer take a sample of tires,
examine the sample, and then conclude
something about all tires?
It is impractical to look at all/every tire. So one will
take a reasonable and unbiased sample of the
tires and examine the average age. From this
sample average one can infer something about
the age of all tires (the population).
Thus an inferential study
Example
A sports writer plans to list the
winning times for all the
swimming events in the 2012
Olympics.
descriptive study?
Inferential study?
A sports writer plans to list the winning times for
all the swimming events in the 2012 Olympics.
The writer wants to simply
organize the data and compile a
list (describe!) the medal winners
of the Olympics
descriptive study
Descriptive versus Inferential
A survey conducted among 1017 men and
women found that 76% of women and
60% of men had a physical examination
with the previous year.
Inferential? Descriptive?
A survey conducted among 1017 men and women
found that 76% of women and 60% of men had a
physical examination with the previous year.
Inferential? Descriptive? Both!
76% women, 60% men Descriptive (simply describes
the data sample which was collected)
More women than men will have physical exams during
the year Inferential (use the data sample to say
something about the population)