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Directions for TI-83/84 PLUS
Unit I
Part I
Exploring and Understanding Data
Clearing Data
STAT > 1:EDIT > highlight the list name at the top > CLEAR > ENTER.
Entering Data
STAT > 1:EDIT > type each number > ENTER.
Ordering data
STAT> 2:SortA( list )
Sorts list in ascending order. Link other lists to that list to keep data together. Or
you can use SortD to sort in descending order.
Organizing lists
STAT>5:SetUpEditor[ listname1, …, listname20 ]
Puts lists in order, creates new ones if listed, without names orders L1 - L6 and
erases others.
Graphs
1.
Stem-and-leaf
STAT > 2:SortA( > enter your list
Use the sorted data to construct the stem-and-leaf graph by hand.
2.
Histograms
2nd Y: STAT PLOTS > ENTER > ENTER (to turn the STAT PLOT on) >
Appropriate graph needs to be highlighted. Xlist: name of list where data is >
Freq: 1 > ZOOM 9
To adjust bins: Window > Xmin = value below your lowest value, Xmax = value
above your largest value, Xscl = bin width, Ymin = -1, Ymax = value above your
highest frequency, Yscl = 1 (depends on your frequency numbers), Xres =1
3.
Boxplots
Enter your data into list 1, list 2, and/or list 3 > 2nd Y = : StatPlots > ENTER for
the first StatPlot > ENTER to turn the StatPlot on > Type: arrow over to the first
box plot > ENTER > the List you want for the Xlist; Freq: 1 >Repeat the process
for each list if you are doing more than one boxplot
>ZoomStat (Zoom 9)
By choosing the first boxplot, you will get modified boxplots. These boxplots
indicate outliers. Data which are 1.5 times the IQR away from the quartiles Q1 or
Q3 are called outliers.
You can do a trace and notice which numbers are indicated as you move along the
bars.
Summary statistics
STAT > CALC > 1:1-Var Stats > ENTER > 2nd 1 to insert L1 > ENTER.
Normal Distributions
2nd VARS: DISTR, 2:normalcdf( lower bound, upper bound, [mean, standard
deviation] ). Returns the normal probability (area) between the bounds.
2nd VARS: DISTR, 3:invNorm( area, [mean, standard deviation] )
Returns the x-score for the given area (probability).
Normal Probability Plot
Stat Plot>select the last plot of the Types>specify your data list > Zoom 9.
This is the best way to tell if your data can be modeled well by a normal model.
Make sure the other graphs are turned off.
Part II
Exploring Relationships Between Variables
Linear Regressions
Turn diagnostics on. 2nd> 0: CATALOG >scroll down to DiagnosticOn > Enter
> Enter
Now your calculator is set for all the regression problems you will do. You don’t
need to do this step again unless you turn off the Diagnostics. This “turns on” the
r and r-squared values when you do regression.
For regression you need two lists – they must be exactly the same length or you
will get a dimension error.
STAT > CALC >4: LinReg(ax+b) > ENTER > enter your two lists (i.e. 2nd 1:
L1 > comma > 2nd 2: L2 > comma > VARS > Y-VARS > 1: Function > 1: Y1
> ENTER
You will have your regression line entered in Y1 in the Y=.
Plotting the points
2nd Y= : STAT PLOTS > 1: Plot 1…On > we want the first plot
Check the lists and make certain they agree with the ones you used
Now press ZOOM 9: ZoomStat.
You should see the scatterplot and the regression line.
To find Residuals:
Stat > 1:Edit > Enter > Scroll over on the list names at the
top of the screen and you will find an “empty” list after list six > Highlight on that
empty space > LIST (2nd Stat) > RESID >ENTER
You should now have a residual list and the calculator will calculate the residuals
for each of your x values when you do a regression.
Unit II
Part III
Gathering Data
Generate random data
MATH > PRB > 5: randInt( low, high, number of random numbers desired) >
ENTER
Returns random integers between the bounds, inclusive.
MATH>PRB>7:randBin( number of trials, probability of success, [simulations] )
Returns the number of successes in a binomial simulation.
Part IV
Randomness and Probability
Expected Value
Enter data unto L1 and probabilities into L2. STAT > CALC > 1:1-Var Stats >
ENTER > 2nd 1 to insert L1 > comma > 2nd 2 to insert L2 > ENTER.
Binomial Distributions
DISTR, A: binompdf( number of trials, probability of success,
[number of successes] )
Returns the binomial probability at X. If no argument, x, is used, it
returns all probabilities for x values from 0 to n.
DISTR, B: binomcdf( number of trials, probability of success, [number of
successes] )
Returns the cumulative binomial probabilities from 0 to x.
Unit III
Part V
From the Data at Hand To the World at Large
Confidence interval for a proportion
STAT > TESTS > A: 1-PropZInt > x: the number of successes (these should be
counts not percents), n: total number, C-Level: confidence level desired >
Calculate
Hypothesis test for a proportion
STAT >TESTS > 5: 1-PropZTest > Enter > Type in the appropriate values
(Beware: When you enter the value of x, you must use counts, not percents) >
Select alternative > Enter > Select Calculate or Draw (if you select Draw, be
certain you don’t have other graphs turned on)
You sometimes get a nicer value for the p-value in Calculate.
Confidence Interval for the difference between two proportions
STAT > TESTS > B: 2-PropZInt > x1: number of successes in the first group
(this number must be a count), n1: total number in the first group, x2: number of
successes in the second group (this number must be a count), n2: total number in
the second group > C-Level: desired confidence level > Calculate
Hypothesis test for the difference between two proportions
STAT > TESTS > 6: 2-PropZTEST > type in appropriate values x1: number of
successes in the first group, n1: total number in the first group, x2: number of
successes in the second group, n2: total number in the second group > the
alternative hypothesis > either Calculate or Draw (if you select Draw, be certain
you don’t have other graphs turned on)
Part VI
Learning About the World
Confidence interval for a mean
With statistics
STAT > TESTS > 8: TInterval > Stats > ENTER > Enter
the appropriate values for the sample mean, sample standard deviation, number in
sample > Select C-Level > Calculate
With data
Level > Calculate
STAT > TESTS > 8: TInterval > Data > List > Select C-
Hypothesis test for the mean
With statistics
STAT > TESTS > 2: T-Test > Stats > Enter > Type in the
appropriate values > Select alternative > Enter > Select Calculate or Draw (if you
select Draw, be certain you don’t have other graphs turned on) > Enter
You sometimes get a “nicer” value for the p-value in Calculate.
With data
STAT > TESTS > 2: T-Test > Data > Enter > Type in the
value for the mean from the null hypothesis and indicate the list containing your
data > Select alternative > Enter > Select Calculate or Draw (if you select Draw,
be certain you have all other graphs turned off) > Enter
2nd VARS: DISTR, 5:tcdf( lower bound, upper bound, d.f.)
Returns the t-distribution probability between the bounds with given degrees of
freedom.
Confidence intervals for the difference between two means – independent
samples
With statistics
STAT > TESTS > 0: 2-SampTInt> Stats > ENTER > type
in the appropriate values for the sample mean, x1, sample standard deviation,
S x 1 , the sample size, n1. Then do the same for the second sample > C-Level >
Pooled: No > select either Calculate > ENTER
With data
STAT > TESTS > 0: 2-SampTInt > Data > Make sure the
lists are the correct lists that contain your data > Freq1: 1, Freq2: 1 > C-Level>
Pooled: No > select either Calculate > ENTER
Hypothesis test for the difference between two means – independent samples
With statistics
STAT > TESTS > 4: 2-SampTTest > Stats > ENTER >
type in the appropriate values for the sample mean, x1, sample standard
deviation, S x 1 , the sample size, n1. Then do the same for the second sample >
select the appropriate alternative hypothesis > Pooled: No > select either
Calculate or Draw (remember you need to have all other graphs turned off if you
select Draw) > ENTER
With data
STAT > TESTS > 4: 2-SampTTest > Data > ENTER >
Make sure the lists are the correct lists that contain your data > Freq1: 1, Freq2:
1 > select the appropriate alternative hypothesis > Pooled: No > select either
Calculate or Draw (remember you need to have all other graphs turned off if you
select Draw) > ENTER
Confidence intervals for the difference between two means – paired data
With statistics
STAT > TESTS > 8: TInterval > Stats > Type the
appropriate values for your differences > mean, standard deviation and total > CLevel > Calculate >Enter
With data
Enter the data into two lists like L1 and L2. Move the
cursor to the top of a new list like L3 so that list number is highlighted. Type L1L2 > ENTER > STAT > TESTS > 8: T Interval > Data > Enter >
List: should be your list with differences possibly L3 > Calculate > Enter
Hypothesis test for the difference between two means – Paired data
With statistics
See
Hypothesis test for the mean. Use the values for the
differences in your two sets of data.
With data
Enter the data into two lists like L1 and L2. Move the
cursor to the top of a new list like L3 so that list number is highlighted. Type L1L2 > ENTER > STAT > TESTS > 2: T-Test > Data > The hypothesis mean is 0 >
List: this is the list of the differences > Select the correct alternative hypothesis >
select either Calculate or Draw (remember you need to have all other graphs
turned off if you select Draw) > ENTER
Part VII
Inference When Variables Are Related
Independence and Homogeneity
MATRIX > EDIT > 1: [A] > ENTER > Enter the number of rows and columns of
the matrix > ENTER > Enter the cell entries for the observed matrix > 2nd MODE
(QUIT) > STAT > TESTS > C:  2  Test > Calculate or Draw > ENTER
Goodness of Fit
STAT > Enter the observed data in L1 > Enter the expected values in L2 > STAT
> TESTS > D:  2 GOF  Test > Enter degrees of freedom > select either
calculate or draw > ENTER
DISTR, 7:  2 cdf( lower bound, upper bound, degrees of freedom)
Returns the Chi-squared probability between the bounds with given degrees of
freedom.