Download M10 Calculator Instructions

Math 10
Math Performance Success
Calculator Instructions
Spring 2015
1
Chapter 1
Entering and Ordering Data
TI83 and TI84
1.
Enter your data in L1
 Press the STAT key. Then press ENTER to EDIT your data lists.
 If you have data in list L1, clear it as follows:
o Press the up-arrow key
o Press the CLEAR key (below the arrow keys)
o Press ENTER
 Enter your data into L1 using the number keys, pressing ENTER after each
entry
2. Order your data from smallest to largest
 Press 2nd LIST (LIST is above the STAT key)
 Arrow over to OPS
 Press ENTER to select SortA( . This will put SortA( on your home screen.
 Press 2nd 1 to type L1 after the open parentheses. Then close the
parentheses (parentheses are the keys in the row above 8 and 9)
 Press ENTER. The calculator will say “Done”.
 Go back into STAT EDIT and your values in L1 will be in order smallest to
largest
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How to Generate Random Numbers
TI83/TI84
A. If you want random counting numbers
1. Press MATH (MATH is below the green key)
2. Arrow over to PRB
3. Arrow down to 5. randInt( Then press ENTER.
4. After the parentheses, enter: lowest value , highest value ). Your
screen should say randInt(#,#). Press ENTER.
Your screen will display a random counting number.
To get additional random numbers, just press ENTER. Each time you do this
you will get another random number.
B. If you want random decimal numbers
1. Press MATH (MATH is below the green key)
2. Arrow over to PRB
3. Press ENTER ENTER
Your screen will display a random decimal number.
To get additional random numbers, just press ENTER. Each time you do this
you will get another random number.
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Chapter 2
Entering Data and Graphing a Histogram
1. Enter your data in L1 and L2
a. Press the STAT key. Then press ENTER to select 1: Edit
b. If needed, clear any old data from L1 and L2. To do this, use the up arrow to
highlight L1. Press the CLEAR key and then press enter. Arrow over to L2 and
repeat the instructions to clear L2.
c. To enter your data, begin at the top of L1. Enter each data value followed by
ENTER. When you have finished with L1, press > to go to L2. Enter the
frequencies into L2 as you did for L1. When done, press 2nd QUIT.
2. Set up your plot:
(One time only)
nd
 Press 2 STATPLOT
 Select PLOT1 by pressing ENTER. Press ENTER to turn on PLOT1. Arrow
down to the next line.
 For Type, arrow over to the Histogram icon on the first line. Press ENTER.
Arrow down.
 After Xlist Name, select L1. After Freq, enter L2. (If you have only entered data
in L1, you can enter ALPHA 1 after Freq instead. This tells the calculator that
you have entered individual values)
 Press 2nd QUIT
3. Set up your window:
 Check Y= to make sure that there are no functions entered. PLOT1 should be
selected.
 Go into WINDOW. Set
xMin =
(where first bar starts)
xMax =
(where last bar ends)
xScl =
(width of each bar)
yMin = 0
(Bottom of the bars)
yMax =
(height of tallest bar)
yScl =
(Tick mark spacing on y-axis)
xRes = 1
(Always)
4. To graph your histogram:
 Press the GRAPH key. You will see your histogram.
Quick Histogram for unordered data
1. Enter data as in step 1 above
2. Check Y= and make sure PLOT1 is selected.
3. Press the ZOOM key. Arrow down to 9: ZoomStat. Press ENTER
The calculator will determine the best window to see your histogram. It will not be
perfect – there may be spaces between the bars. But you can get a quick idea of the
shape of the data.
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Graphing a Boxplot on the TI83/84
3. Enter your data and frequencies in L1 and L2
4. Set up your plot:
(One time only)
nd
 Press 2 STATPLOT
 Turn off PLOT1 by selecting PLOT1, arrow over to OFF, and press
ENTER. Then press 2nd STATPLOT again.
 Select PLOT2 by arrowing down to 2. Press ENTER to turn on PLOT2.
Arrow down to the next line.
 For Type, use the left arrow to select the middle boxplot on the second
line. Press ENTER. Arrow down.
 After Xlist Name, select L1. After Freq, enter L2. (If your frequencies are
all 1, you can enter a “1” after freq instead. This tells the calculator that
you have entered individual values in L1 only)
 Press 2nd QUIT
5. Set up your window:
6. Check Y= to make sure that there are no functions entered. PLOT2
should be selected.
7. Go into WINDOW. Set
xMin = lowest data value
xMax = highest data value
You do not need to worry about any other entries in this screen.
8. Press GRAPH to see the boxplot
9. Press TRACE The cursor will indicate each of the values for the 5
number summary as you use your left or right arrow key. Read the value
at the bottom left of the screen.
5
How to Calculate One-Variable Statistics
TI83/84
1. Enter data into L1 and L2. Press 2nd QUIT so that you are at the Home
Screen.
2. Press STAT. Then arrow over to CALC, then press ENTER for 1:1 - Variable
Stats. You will see on your screen “1-Var Stats”.
3. Press 2nd L1, followed by a comma (above the 7 key), followed by 2nd L2.
4. Press ENTER. You will see a list of several one-variable statistics.
5.  x is the population standard deviation and should be used only if the data
you entered is the entire population.
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Chapter 12
Linear Regression TI 83/84
Scatterplots
To enter your data.
1. Press STAT followed by 1.
2. If needed, clear any old data from L1 and L2
3. Enter your data. Enter the values of the independent variable in L1 and the values
of the dependent variable in L2.
To set up your plot.
1. Press 2nd (yellow key) STATPLOT. Then press 3 to select PLOT3 from the menu.
 Press < ENTER to turn the plot on. Down arrow to the next line.
 You should see a picture of a scatterplot. It is the first icon. Press ENTER.
Down arrow.
 For XLIST, press 2nd L1. Down arrow.
 For YLIST, press 2nd L2. Down arrow.
 Select the type of mark you want to use for your scatterplot. The small box is
the most visible. When done, press ENTER.
2. Press ZOOM and then 9. You will see your scatterplot.
The Regression Line
To Calculate the regression line.
Press QUIT until you are in the home screen.
1. Press STAT and arrow over to CALC.
2. Press 8: LinReg (a+bx). Do not use #4. It is different! You will see LinReg on
your home screen.
3. Press 2nd L1, the comma key , followed by 2nd L2. Press ENTER.
To Graph the regression line.
1. Press the y= key.
2. Enter your regression line equation after Y1.
3. Press GRAPH. You will see the regression line drawn on your scatterplot.
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Chapter 4
Calculator Instructions for Discrete Distributions
TI83/84
To access the discrete Distributions:
From the Home Screen:
1. Press 2nd DISTR (above the VARS key, next to CLEAR)
2. Arrow down to the desired distributions:
 0: binomialpdf(
 A: binomialcdf(
3. Press ENTER
4. Once you have found the correct function, enter the parameters after the open
parenthesis as given below. Then press ENTER.
To calculate the
probability:
P(X = x)
P(X  x)
P(X< x)
P(X>x)
P(X  x)
Enter on your calculator
TI83/84 Binomial
binomialpdf(n, p, x)
binomialcdf(n, p, x)
binomialcdf(n, p, x ‒1)
1 – binomialcdf(n, p, x)
1 – binomialcdf(n, p, x ‒1)
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Ch 6
How to Calculate Normal Probabilities
TI 83 / TI 84
1. From your home screen:
Go into your distributions menu
Arrow down to
2. The form you use is
2nd DISTR
2: normalcdf(
normalcdf (lower value, upper value, mean, st.dev)
For P(a<X<b)
enter normalcdf (a, b, mean, st. dev)
For P(X<b)
enter normalcdf (-1E99, b, mean, st. dev)
For P(X>a)
enter normalcdf (a, 1E99, mean, st. dev)
The E in -1E99 and 1E99 is gotten by pressing 2nd EE (above the comma)
3. If you leave off the mean and the st. dev. and close the parentheses after your
upper value, the calculator assumes that the mean is 0 and the st. dev. = 1. In
other words, you will get the probabilities for the Standard Normal Distribution
Z
N (0,1)
4. To calculate Percentiles k:
From your home screen:
a. Use
3: invNorm(
(in DISTR menu)
b. The form you will use is invNorm(percentile, mean, st. dev)
Enter the percentile in decimal form. The calculator will give the critical value k.
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Chapters 8, 9, and 10
Calculator Instructions
All programs can be found in:
TI83/84
STAT
TESTS
Chapter 8 Confidence Intervals
Confidence Interval for Means  known
TI83/84
7: ZInterval
Confidence Interval for Means  unknown
TI83/84
8: Tinterval
Confidence Interval for Proportions
TI83/84
A: 1-PropZInt
Chapter 9 Hypothesis Testing Single Mean or Proportion
A. Test of a Single Mean  known
TI83/84
1: Z-Test
B. Test of a Single Mean  unknown
TI83/84
2: T-Test
C. Test of a Single Proportion
TI83/84
5: 1-PropZTest
Chapter 10 Hypothesis Testing Two Means or Proportions
A. Test of Two Means  known
TI83/84
3: 2-SampZTest
B. Test of two Means  unknown
TI83/84
4: 2-SampTTest
C. Test of two Proportions
TI83/84
6: 2-PropZTest
D. Means: Dependent Groups/Paired Samples
TI83/84
2: T-Test
Note:


If you have data entered in L1 and/or L2, you can highlight DATA.
If you have a book problem for which the mean and standard deviation
are given, highlight STATS.
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Chapter 11
Goodness-of-Fit Calculator Instructions
GOF Program
1. Enter the Observed values (O) in L1
2. Enter the Expected values (E) in L2
3. For the TI83/84: Press PRGM key. We will run the GOF program
TI83/84:
Arrow down to GOF. Press ENTER
ENTER
When prompted, enter the number of cells. Press ENTER
The calculator will give you the test-statistic and p-value for the test
Built-in TI84 GOF-Test
TI84: Press the STAT key. Arrow over to TESTS.
Look for D:  2GOF-Test . Press ENTER
Enter L1 after Observed. Enter L2 after Expected.
Arrow down to Calculate and press ENTER.
Enter the df.
The calculator will give you the test-statistic and p-value for the test
11
Test of Independence
Calculator Instructions
1. Access MATRIX menu:
TI83:
MATRIX
EDIT
ENTER
2. Enter matrix dimensions:
Type:
# rows
ENTER
# columns
ENTER
3. Enter table values going across rows
Press ENTER after each value.
When done, press EXIT.
4. Run program to do Chi Test
TI83
STAT
TESTS
C:  2 -TEST
Make sure Observed says A and Expected says B.
Press CALC or Calculate
You will see the test statistic and p-value on the screen.
5. To see the expected values matrix
TI83
MATRIX
2
ENTER
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Chapter 13
ANOVA
1. Enter your data:
 Press the STAT key and select 1: Edit
 Enter each group of means into a list: L1, L2, etc. for as many groups
as you are testing. For example, if there are three groups of means,
you will enter group 1 means in L1, group 2 means in L2, and group 3
means in L3.
2. Run the ANOVA test:
 Press the STAT key and arrow over to TESTS
 Press the up arrow key once. The ANOVA test is the last test on the
list in your calculator. It is either choice F: ANOVA on the TI83 or
choice H: ANOVA on the TI84. Press ENTER.
 The words: ANOVA( will appear on your home screen. After the
parentheses, enter the list names that you entered your data into. For
example, if you entered data into L1, L2, and L3, you will enter L1, L2,
L3). Your home screen will say:
ANOVA(L1,L2,L3)
 Press ENTER.
3. Reach the test statistic and the p-value for your test:
 The test statistic is the first number given after F=
 The p-value is the second number given after p =
 The df for the numerator is given after FACTOR. The df for the
denominator is given after ERROR. The other numbers given are
used in manual calculations.
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