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

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8 Apr 2012

School

Department

Course

Professor

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

±