School

University of Texas, Rio Grande Valley **We aren't endorsed by this school

Course

PSYC 2301

Subject

Statistics

Date

Aug 8, 2023

Pages

3

Uploaded by CommodoreGorilla2752 on coursehero.com

Chapter
G
standard
Error
single
sample
2
test
probability
Basics
think
of
it
as a
histogram
sampling
Distributions
with
allvalues
within
a
statistic
we
A
representation
of
all
possiblevalues
of
a
statistic
We've
already
encountered
the
standard normal
distribution
Representation
of
possiblevalves
of
z
with
amean
of 0
a standard
deviation
of
1
Creating
a
sampling
Distribution
Determine
an
possiblesamples
of
size
n
Calculate
the
statistic
leg
mean standard
deviation
calculate
the
probability
of
each
valve
occurring
Proportion
of Ave
Sampling
Distribution
of
the
mean
Different
samples
of
size n
Yielddifferent
samplemeans
o
X
If the
samples are
at
random
the
mean
of
the
possiblesample
means
is the
population
mean
we
call that
discrepancy error
more
specifically
sampling
error
The
sample
means
have
a standarddeviation
that
is
calledthe
standard
error
of the
mean
or
for
shortthe standard
error
a
q
garstang'd'driation
Of
1st
test
2
test
We
canuse
the
standard
error
to
compute
z
and its
associated probability
Ave
for
z
Beyond
for
samples
of
size
n
If
weknowthe
population
mean
population
standard
deviation
andhave
random
sample we
can
ask
what
is
the
probability
of
finding
a
samplemean
In
otherwords
we
can
determine
how
unusual
or
extreme a samplemean
iswith
the
specified
population
parameters
and
samplesize
Oz
Oz
O
Population
standard
X
M
2
x
a
deviation
O
2
test
formula
2
score
formula
Example
use
z
calculator
selects
22
stu
Pop
mean
100
109
100
15
15
2
3
0
I
2 81
meant'd
109
stander
15

Brief
Probability
Overview
probability
p
the
likelihood
of
an
event
occurring
Range
between
0
I
O
meansthe event
cannot
occur
I
means
that
the
event
is certain
to
occur
Fair die
probability
of
rolling
a
3
is
116
p
1667
Addition Thule
To
determine
the
probability
of 2
or morepossibilities
for
a
given
event
add
the
probabilities
Head
or
tails
in a
coin
pl
heads
or
tails
5
5
1
Probability
of
a
3
or
u in
a
die
pl
3
or
6
1667 t.nu
333
Multiplication
Rule
Multiply
individual
probabilities
to
determine
probability
of
independent
events
occurringtogether
That is two
or moreevents
occurring
together
If
we
toss
2
dice
what
is
the
probability
of
getting
too 5
s
1667
1667
027
Additive one
event
OR
Multiplicative
oneevent
AND
another
another
two
ormore
events
Joint
conditionalprobabilities
joint
probability
co
occurrence
of
2
or
more events
Conditional
probability probability
that
an
event
has
occurred
given
another
event
has
occurred
joint
prob
Pl
parent
seat
belt
20
100
30
100
06
cond
prob
p seatbelt
parent
15120
75
we
will
repeatedly
test
hypotheses
by
interpreting
the
following
conditional
probability
P
sample
results null

l

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