ADM 2304 Study Guide - Tachykinin Receptor 1, Shuttle Radar Topography Mission

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Means Proportions
One Mean
(One Sample)
Two Means
(Two Samples)
#:
#:
=
µ
µ
A
O
H
H
Hypothesis:
Calculation:
Conclusion:
Confidence Interval
ns
x
t
calc
/
µ
=
If
critcalc
tt >
Reject Ho
±n
s
tx
crit
If HA>If HA<
If HA not =
Independent Paired
Pooled
(ZERO in hypothesis)
(Variances are equal)
Not Pooled
(No ZERO in hypothesis)
(Variances are NOT equal)
2
2
1
2
21
0)(
n
S
n
S
xx
t
PP
calc
+
=
Calculation:
where
(
(
)
2
11
21
2
22
2
11
2
+
+
=nn
SnSn
S
P
221
+
=
nndf
1
=
ndf
2
2
2
1
2
1
2121
)()(
n
S
n
S
xx
t
calc
+
=
µ
µ
Calculation:
Critical Value
αdf
:
crit
t
=
Critical Value
αdf
:
crit
t
=
Critical Value
αdf
:
crit
t
=
Conclusion:
If
critcalc
tt >
Reject Ho
Confidence Interval
2
2
2
1
2
1
21
)( n
S
n
S
txx
crit
+±
21
21
XXX d
d
=>
=>
µ
µ
µ
Calculation:
ns
x
t
d
dd
calc /
µ
=
Conclusion:
Confidence Interval
If
critcalc
tt >
Reject Ho
±n
s
tx
d
critd
1
=
ndf
Critical Value
αdf
:
crit
t
=
One Proportion
(One Sample)
Two Proportions
(Two Samples)
#:
#:
=
pH
pH
A
O
Hypothesis:
#21:
#21:
=
µµ
µ
µ
A
O
H
H
Hypothesis:
#21:
#21:
=
µµ
µ
µ
A
O
H
H
Hypothesis:
#:
#:
=
dA
dO
H
H
µ
µ
Hypothesis:
where Calculation:
n
pq
pp
z
calc
=
where p is not
ZERO in the
hypothesis
n
qp
pp
z
calc
=
where p is ZERO
in the hypothesis
Conclusion:
If
critcalc
zz >
Reject Ho
Confidence Interval
Pooled
(ZERO in hypothesis)
(Variances are equal)
Not Pooled
(No ZERO in hypothesis)
(Variances are NOT equal)
#:
#:
21
21
=
ppH
ppH
A
O
Hypothesis:
#:
#:
21
21
=
ppH
ppH
A
O
Hypothesis:
Calculation:
21
2121 )()(
n
qp
n
qp
pppp
z
pppp
calc
+
=
Calculation:
2
21
1
21
2121
)()(
n
qp
n
qp
pppp
z
calc
+
=
where
21
2211
21
21
nn
pnpn
nn
xx
p
p
+
+
=
+
+
=
X1: # of success in
the 1st sample
X2: # of success in
the 2nd sample
Critical Value (Zcrit)
Conclusion:
If
critcalc
zz >
Reject Ho
Confidence Interval
2
21
1
21
21
)( n
qp
n
qp
zpp
crit
+±
Sample Proportion:
Population Proportion:
Sample SD:
nxp /
=
where x is the # of success in
the sample
NXp /
=
where x is the # of success in
the population
1
)(
2
=
n
xx
s
2
2
2
2
2
2
1
2
1
1
2
2
2
2
1
2
1
1
1
1
1
+
+
=
n
S
nn
S
n
n
S
n
S
df
If fraction, round it down!!!
Ibrahim Ozer
2006
n
qp
zp
crit
±
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