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Summary Table for Statistical Techniques
Inference
Parameter
Statistic
Type of
Data
Examples
Analysis
Minitab
Command
Conditions
1
Estimating a
mean
One
population
mean
µ
(Ch 12.4)
sample mean
x
numerical
•
What is the average
weight of adults?
•
What is the average
cholesterol level of
adult females?
1sample tinterval
n
s
t
x
*
±
Stat
>Basic
statistics
>1sample t
•
data approximately normal
or
•
have a large sample
size (n ≥
30)
2
Test about a
mean
One
population
mean
µ
(Ch 13.2)
sample mean
x
numerical
•
Is the average GPA
of
juniors at Penn
State higher than
3.0?
•
Is the average
Winter temperature
in
State College
less than
42
ْ
F?
H
o
: µ = µ
o
H
a
: µ
≠
µ
o
or H
a
: µ
> µ
o
or
H
a
: µ
<
µ
o
The one sample t test:
n
s
x
t
0
μ

=
Stat
>Basic
statistics
>1sample t
•
data approximately normal
or
•
have a large sample
size (n ≥
30)
3
Estimating a
proportion
One
population
proportion
p
(Ch. 10)
sample
proportion
(n ≥
30)
categorical
(binary)
•
What is the
proportion of males
in the world?
•
What is the
proportion of
students that smoke?
1proportion Zinterval
n
p
p
z
p
)
ˆ
1
(
ˆ
ˆ
*

±
Stat
>Basic
statistics
>1sample
proportion
•
n
p
ˆ
≥ 10 and n (1
p
ˆ
) ≥ 10
4
Test about a
proportion
One
population
proportion
p
(Ch. 11)
sample
proportion
p
ˆ
categorical
(binary)
•
Is the proportion
of females different
from 0.5?
•
Is the proportion of
students who fail
Stat200 less than
0.1?
H
o
: p = p
o
H
a
: p
≠
p
o
or H
a
: p
> p
o
or
H
a
: p
<
p
o
The one proportion Ztest:
n
p
p
p
p
z
)
1
(
ˆ
0
0
0


=
Stat
>Basic
statistics
>1sample
proportion
•
n p
o
≥
10
and
n (1p
o
)
≥
10
1
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View Full DocumentInference
Parameter
Statistic
Type of
Data
Examples
Analysis
Minitab
Command
Conditions
5
Estimating the
difference of
two means
difference in
two
population
means
µ
1
µ
2
(Ch 12.5)
difference in
two sample
means
2
1
x
x

numerical
•
How different are
the mean GPAs of
males and females?
•
How many fewer
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 Spring '08
 BARROSO,JOAOR
 Statistics

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