Calculator How Tos
for the TI-83
Make
a Histogram Using the Entire
Data Set
1.
Enter you data in
L1
2.
Choose STAT
> EDIT
3.
Choose 2nd
> STAT PLOT > 1: PLOT1
4.
Turn the plot1 on
by highlighting it
5.
Select histogram
by highlighting the figure of a histogram
6.
Enter Xlist: L1
7.
Enter Freq:1
(lets calculator determine the classes)
8.
Choose ZOOM
> 9: ZOOMSTAT > TRACE>> (lets you choose the classes)
9.
Choose WINDOW
10. Enter the required numbers in your window size to be
able to see your entire histogram
11. Choose GRAPH > TRACE
Make a Histogram Using a Frequency Table
1.
Enter the class
midpoints into L1
2.
Enter Frequencies
into L2
3.
Choose 2nd
> STAT PLOT > 1:PLOT1
4.
Turn the plot1 on
by highlighting it
5.
Select histogram
by highlighting the figure of a histogram
6.
Enter Xlist: L1
7.
Enter Freq:L2
8.
Choose WINDOW
9.
Enter the
required numbers in your window size to be able to see your entire histogram
10. Choose GRAPH > TRACE
One Variable Stats
gives x-bar, sum of x, the sum of x-squared, Standard deviation, sample s.d., and 5 number summary
1.
Enter your data
in L1
2.
Choose STAT
> CALC > 1: 1-VAR STATS
3.
Press ENTER
4.
Choose 2nd > 1
(to choose L1)
5.
Press ENTER
1.
Enter x values in
L1
2.
Enter
corresponding y values in L2
3.
Choose STAT
> CALC > 2: 2-VAR STATS
4.
Choose 2nd > 1
(to choose L1)
5.
Choose 2nd > 2
(to choose L2)
6.
Press ENTER
1.
Enter x values
into L1
2.
Enter
corresponding y values into L2
3.
Choose 2nd
> STAT PLOT > 1: Plot1
4.
Turn the plot on
by highlighting On
5.
Choose scatterplot by highlighting the picture of the scatterplot under Type
6.
Enter Xlist: L1
7.
Enter Ylist: L2
8.
Select type of
marking from 3 choices
9.
Choose ZOOM
> 9:ZoomStat
10. Use TRACE option to trace points in the scatterplot
1.
Enter x values
into L1
2.
Enter
corresponding y values into L2
3.
Choose 2nd
> CATALOG > DiagnosticOn
4.
Choose STAT
> CALC > 8: LinReg(a+bx)
5.
Enter L1, L2 LinReg(a+bx) L1,L2
6.
Press ENTER
Least Squares Regression
Equation
1.
Enter x values in
L1
2.
Enter
corresponding y values in L2
3.
Choose STAT
> CALC > 8: LinReg(a+bx)
4.
Choose 2nd > 1
(to choose L1)
5.
Choose 2nd > 2
(to choose L2)
6.
Press ENTER
Graph the LSR on a Scatterplot
1.
Enter x values in
L1
2.
Enter
corresponding y values in L2
3.
Choose STAT
> CALC > 8: LinReg(a+bx)
4.
Choose 2nd > 1
(to choose L1)
5.
Choose 2nd > 2
(to choose L2)
6.
Choose VARS
> Y-VARS > 1: Function > 1: Y1
7.
Press ENTER
1.
Choose MATH
> PRB > 5: randInt(min, max, n)
2.
min is the lowest
number possible, max is the highest number in the range and n is the number of
random numbers you want it to generate within the range
Binomial Coefficient
(Combinations)
1.
to calculate
"n choose k" do the following:
2.
Type in the value
for n
3.
Choose MATH
> PRB > 3:nCr
4.
Type in the value
for k
5.
Press ENTER
1.
this will
calculate the P(X=k) for a binomial distribution
2.
Choose 2nd
> DISTR > 0: binompdf(
3.
Enter n, p, x vaules in that order separated by a comma
4.
Press ENTER
Cumulative Binomial
Probability
1.
this will
calculate the P(X 
k)
2.
Choose 2nd
> DISTR > A: binomcdf(
3.
Enter n, p, x vaules in that order separated by a comma
4.
Press ENTER
GEOMETRIC DISTRIBUTION:
1.
Choose 2nd
à DISTR à D: geompdf(
2.
Enter p, x values
in that order separated by a comma.
i.
geompdf(1/3,3) This will find the probability of getting a
success on the 3rd trial if the prob of
success is 1/3
3.
Press ENTER
NORMAL DISTRIBUTIONS
1.
Choose 2nd
à DISTR à 2: normalcdf
2.
Enter Lower
bound, Upper bound, m,
s in that order separated by commas. Lower and Upper bounds are in standard
deviations.
i.
Normalcdf(-5, 1.27, 0, 1) This will find the probability
P(Z<1.27) notice z scores have mean 0 and st dev.
1 to get infinity on the lower bound use -5 for the lower bound st. deviations.
ii.
Normalcdf(.82, 1.27,0,1) This will find the probability
P(0.82<Z<1.27)
3.
Press ENTER
INVERSE NORMAL FUNCTION (This
will find what z will give you the known P-value)
1.
Choose 2nd
à DISTR à 3:invNorm(
2.
Enter P-value, m, s in that order separated by commas.
i.
invNorm(.95, 0, 1) would find the z score such that
P(Z<z-score)=.95
3.
Press ENTER
CONFIDENCE INTERVALS
Z
INTERVALS
If
the actual measurements are available, then use this option
1.
Enter data in
list L1
2.
Choose STATà TESTSà 7: ZInterval
3.
Highlight Data
4.
Enter appropriate
values:
a.
ZInterval
b.
Input: Data Stats
c.
s:
enter the st
deviation
d.
List: enter the
list that you enter the data into (L1)
e.
Freq: enter 1
here
f.
C-Level: enter
the confidence level as a decimal (.90 = 90% C-Level)
5.
Highlight
Calculate
6.
Press ENTER
If
the actual measurements are not available, but the sample mean (x-bar) and the
population standard deviation (s) are available then use
this option
1.
Choose STATà TESTSà 7: ZInterval
2.
Highlight Stats
3.
Enter appropriate
values:
a.
ZInterval
b.
Input: Data Stats
c.
s:
enter the st
deviation
d.
x-bar: enter the
sample mean
e.
n: enter the
sample size
f.
C-Level: enter
the confidence level as a decimal (.90 = 90% C-Level)
4.
Highlight
Calculate
5.
Press ENTER
T
INTERVALS
If
the actual measurements are available, then use this option
1.
Enter data in
list L1
2.
Choose STATà TESTSà 8: T Interval
3.
Highlight Data
4.
Enter appropriate
values:
a.
ZInterval
b.
Input: Data Stats
c.
List: enter the
list that you enter the data into (L1)
d.
Freq: enter 1
here
e.
C-Level: enter
the confidence level as a decimal (.90 = 90% C-Level)
5.
Highlight
Calculate
6.
Press ENTER
If
the actual measurements are not available, but the sample mean (x-bar) and the
sample standard deviation (s) are available then use this option
1.
Choose STATà TESTSà 8: T Interval
2.
Highlight Stats
3.
Enter appropriate
values:
a.
TInterval
b.
Input: Data Stats
c.
x-bar: enter the
sample mean
d.
Sx: enter the
st. deviation
e.
n: enter the
sample size
f.
C-Level: enter
the confidence level as a decimal (.90 = 90% C-Level)
4.
Highlight
Calculate
5. Press ENTER
SIGNIFICANCE TESTS
Z TEST
If the actual measurements are available, then use
this option
1.
Enter data in
list L1
2.
Choose STATà TESTSà 1: Z-Test
3.
Highlight Data
4.
Enter appropriate
values:
a.
Z Test
b.
Input: Data Stats
c.
mo: enter null hypothesis mean
d.
s:
enter the population standard deviation
e.
List: enter the
list that you enter the data into (L1)
f.
Freq: enter 1 here
g.
m:
choose which is your alternative
hypothesis
5.
Highlight
Calculate
6.
Press ENTER
If
the actual measurements are not available, but the sample mean (x-bar) and the
population standard deviation (s) are available then use
this option
1.
Choose STATà TESTSà 1: Z Test
2.
Highlight Stats
3.
Enter appropriate
values:
a.
Z Test
b.
Input: Data Stats
c.
mo: enter null hypothesis mean
d.
s:
enter the population standard deviation
e.
x-bar: enter the
sample mean
f.
n: enter the
sample size
g.
m: choose your alternative hypothesis
4.
Highlight Calcutate
5.
Press Enter
T
TEST
If
the actual measurements are available, then use this option
1.
Enter data in
list L1
2.
Choose STATà TESTSà 2: T-Test
3.
Highlight Data
4.
Enter appropriate
values:
a.
T Test
b.
Input: Data Stats
c.
mo: enter null hypothesis mean
d.
List: enter the list
that you enter the data into (L1)
e.
Freq: enter 1
here
f.
m:
choose which is your alternative
hypothesis
5.
Highlight
Calculate
6.
Press ENTER
If
the actual measurements are not available, but the sample mean (x-bar) and the
sample standard deviation (Sx) are available then use
this option
1.
Choose STATà TESTSà 1: Z Test
2.
Highlight Stats
3.
Enter appropriate
values:
a.
Z Test
b.
Input: Data Stats
c.
mo: enter null hypothesis mean
d.
Sx: enter the
population standard deviation
e.
x-bar: enter the
sample mean
f.
n: enter the
sample size
g.
m: choose your alternative hypothesis
4.
Highlight Calcutate
5.
Press Enter
2 SAMPLE TESTS AND INTERVALS
2 SAMPLE PROPORTION INTERVAL
1.
Choose STATà TESTSà B-PropZInt
2.
Enter appropriate
values:
a.
2 PropZInt
b.
X1: enter count
for sample 1
c.
n1: enter size
for sample 1
d.
X2: enter count for sample 2
e.
n2: enter size
for sample 2
f.
C-Level: enter
confidence level as a decimal
3.
Highlight Calcutate
4.
Press Enter
2
SAMPLE T TEST
If
the actual measurements are available, then use this option
1.
Enter data in
lists L1 and L2
2.
Choose STATà TESTSà 4: 2-SampTTest
3.
Press ENTER
4.
Highlight Data
5.
Press ENTER
6.
Enter appropriate
values:
a.
2-SampTTest
b.
Input: Data Stats
c.
List1: enter the
list you entered the first sample data (L1)
d.
List2: enter the
list you entered the second sample data (L2)
e.
Freq1: enter 1 here
f.
Freq2: enter 1
here
g.
m:
choose which is your alternative
hypothesis
h.
Pooled: No or Yes
7.
Highlight
Calculate
8.
Press ENTER
2
SAMPLE T TEST
If
the actual measurements are not available, but the sample means and sample
standard deviations are available, then use this option
1.
Choose STATà TESTSà 4: 2-SampTTest
2.
Press ENTER
3.
Highlight Stats
4.
Press ENTER
5.
Enter appropriate
values:
a.
2-SampTTest
b.
Input: Data Stats
c.
X-bar1: enter the
sample mean of the first sample
d.
Sx1: enter the standard
deviation of the first sample
e.
n1: enter first
sample size
f.
X-bar2: enter the
sample mean of the second sample
g.
Sx2: enter the
standard deviation of the second sample
h.
n2: enter second
sample size
i.
m:
choose which is your alternative
hypothesis
j.
Pooled: No or Yes
6.
Highlight
Calculate
7. Press ENTER
2
SAMPLE T INTERVAL
If
the actual measurements are available, then use this option
1.
Enter data in
lists L1 and L2
2.
Choose STATà TESTSà 4: 2-SampTTest
3.
Press ENTER
4.
Highlight Data
5.
Press Enter
6.
Enter appropriate
values:
a.
2-SampTInt
b.
Input: Data Stats
c.
List1: enter the
list you entered the first sample data (L1)
d.
List2: enter the
list you entered the second sample data (L2)
e.
Freq1: enter 1
here
f.
Freq2: enter 1
here
g.
C-Level: enter
the confidence level as a decimal
h.
Pooled: No or Yes
7.
Highlight
Calculate
6. Press ENTER
2
SAMPLE T INTERVAL
If
the actual measurements are not available, but the sample means and sample
standard deviations are available, then use this option
1.
Choose STATà TESTSà 0: 2-SampTInt
2.
Press ENTER
3.
Highlight Stats
4.
Press ENTER
5.
Enter appropriate
values:
a.
2-SampTInt
b.
Input: Data Stats
c.
X-bar1: enter the
sample mean of the first sample
d.
Sx1: enter the
standard deviation of the first sample
e.
n1: enter first
sample size
f.
X-bar2: enter the
sample mean of the second sample
g.
Sx2: enter the
standard deviation of the second sample
h.
n2: enter second
sample size
i.
C-level: enter
the confidence level as a decimal
j.
Pooled: No or Yes
6.
Highlight
Calculate
7. Press ENTER
c-SQUARED TEST
1.
Choose 2ND
à MATRX à EDIT
2.
Select 1: [A]
3.
Press ENTER
4.
Enter the
dimensions of the matrix
5.
Enter the
observed values into the matrix from the table
6.
Choose STAT à TESTSà C: c2 – Test
7.
Press ENTER
a.
c2 – Test
b.
Observed: [A]
c.
Expected: [B]
d.
Highlight Calculate
e.
Press ENTER
8.
Matrix [B] is
automatically created when Calculate is chosen