Statistics by the Calculator PDF

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Summary

The step by step guide on how to perform the essential statistics needed for Hamdan Hassan's class, using the TI-84 or TI-83 calculator. ...

Description

Calculator-Source Hawkes Learning System Adding Info to Lists (TI-84) Leverage agile frameworks to provide a robust synopsis for high level overviews. Iterative approaches to corporate strategy foster collaborative thinking to further the overall value proposition. Organically grow the holistic world view of disruptive innovation via workplace diversity and empowerment. 1. Bring to the table win-win survival strategies to ensure proactive domination. At the end of the day, going forward, a new normal that has evolved from generation X is on the runway heading towards a streamlined cloud solution. User generated content in real-time will have multiple touchpoints for offshoring. 2. Capitalize on low hanging fruit to identify a ballpark value added activity to beta test. Override the digital divide with additional clickthroughs from DevOps. Nanotechnology immersion along the information highway will close the loop on focusing solely on the bottom line.

ANOVA One-Way TI-84 1. Press STAT, select EDIT, 1: Edit, and ENTER. Then input the data into the lists.

2. Press STAT and select TESTS, the choose option F:ANOVA and press ENTER.

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3. Enter ANOVA(L1, L2, L3), and press ENTER.

F-Distribution See F-Distribution.

Binomial Distribution Binomial Probability (pdf) TI-84 1. 2. 3. 4.

Choose DIST (2nd VARS). Select 0:binompdf. Press ENTER. Input the number of trials, the probability of success, and the number of successes. 5. Press ENTER.

Binomial Probability Distribution TI-84 2

1. 2. 3. 4. 5. 6.

Choose DIST (2nd VARS). Select 0:binompdf. Press ENTER. Input the number of trials and the probability of success. Close the parentheses. Then store the list in L2 by pressing STO→L2 (2nd 2).

7. Press ENTER. 8. Press STAT. 9. Choose EDIT. 10. Select Edit. 11. Press ENTER. 12. Input the values 0 to n in L1.

Binomial Probability (cdf) TI-84 1. 2. 3. 4.

Choose DIST (2nd VARS). Select A:binomcdf. Press ENTER. Input the number of trials, the probability of success, and the number of successes. 5. Press ENTER.

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Chi-Square Distribution Critical Value TI-83 1. Press MATRX. 2. Select EDIT, and 1:A. Press ENTER. 3. Enter the matrix dimensions, and input the actual data into the matrix.

4. Press STAT, TESTS, and C: χ2-Test.

5. Press ENTER. 6. Choose Draw. 7. Press ENTER.

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TI-83 Plus/TI-84 Plus 1. 2. 3. 4. 5. 6. 7.

Press MATRIX (2nd χ2). Select EDIT, and 1:A. Press ENTER. Enter the matrix dimensions, and input the actual data into the matrix. Press STAT, TESTS, and C: χ2-Test. Press ENTER. Choose Draw. Press ENTER.

Left Tailed Probability (cdf) TI-84 Used for finding the p-value corresponding to a χ2 test statistic. 1. 2. 3. 4.

Select DISTR (2nd VARS). Select 7: χ2cdf( Enter (0, χ2, degrees of freedom) Press ENTER.

Right Tailed Probability (cdf) TI-84 Used for finding the p-value corresponding to a χ2 test statistic. 1. 2. 3. 4.

Select DISTR (2nd VARS). Select 7: χ2cdf( Enter (χ2, upper bound, degrees of freedom) Press ENTER.

Test for Association TI-83 1. Press MATRX. 2. Select EDIT, and 1:A. Press ENTER. 3. Enter the matrix dimensions, and input the actual data into the matrix.

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4. Press STAT, TESTS, and C: χ2-Test.

5. Press ENTER. 6. Choose Calculate. 7. Press ENTER.

TI-83 Plus/TI-84 Plus 1. 2. 3. 4. 5. 6. 7.

Press MATRIX (2nd χ2). Select EDIT, and 1:A. Press ENTER. Enter the matrix dimensions, and input the actual data into the matrix. Press STAT, TESTS, and C: χ2-Test. Press ENTER. Choose Calculate. Press ENTER.

Test for Goodness of Fit TI-84 Plus Other TI-83/84 calculators do not have this test built in.

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1. Press STAT and select EDIT and Edit…. 2. Input observed data in L1 and expected in L2.

3. 4. 5. 6. 7.

Press STAT, TESTS, and D: χ2GOF-Test. Press ENTER. Enter L1 is entered for Observed, and L2 for Expected. Enter the appropriate degrees of freedom. Choose Calculate.

8. Press ENTER.

Confidence Intervals Proportion TI-84

1. 2. 3. 4.

Choose STAT. Select TESTS. Choose option A:1-PropZInt. Press ENTER. 7

5. Choose Stats. 6. Input the corresponding values for the variables.

7. Press Calculate. 8. Observe the confidence interval listed on the screen.

t-Interval TI-84 Using summary statistics

1. 2. 3. 4. 5. 6.

Choose STAT. Select TESTS. Choose option 8: TInterval. Press ENTER. Choose Stats. Input the corresponding values for the variables.

7. Press Calculate. 8. Observe the confidence interval listed on the screen. 8

Using data

1. Press STAT and navigate to the EDIT menu 2. Choose 1:Edit and press ENTER 3. Input the data in the column labeled L1, pressing ENTER after each value 4. Press QUIT (2nd MODE) 5. Press STAT and navigate to the TESTS menu 6. Choose option 8: TInterval. 7. Press ENTER. 8. Choose data. 9. Input the corresponding values. 10. Press Calculate. 11. Observe the confidence interval listed on the screen.

z-Interval TI-84 Using summary statistics

1. 2. 3. 4. 5. 6. 7. 8.

Choose STAT. Select TESTS. Choose option 7: ZInterval. Press ENTER. Choose Stats. Input the corresponding values for the variables. Press Calculate. Observe the confidence interval listed on the screen.

Using data

1. 2. 3. 4.

Press STAT and navigate to the EDIT menu Choose 1:Edit and press ENTER Input the data in the column labeled L1, pressing ENTER after each value Press QUIT (2nd MODE) 9

5. Press STAT and navigate to the TESTS menu 6. Choose option 7: ZInterval. 7. Press ENTER. 8. Choose data. 9. Input the corresponding values. 10. Press Calculate. 11. Observe the confidence interval listed on the screen.

Two Sample z-Interval TI-84 See Ch 12 images

Two Sample t-Interval TI-84 Add instructions for not pooled and for pooled standard deviation. (See Ch 12 images)

Two Sample Proportions z-Interval TI-84 Add instructions for not pooled and for pooled standard deviation. (See Ch 12 images)

Counting Combination TI-84 1. 2. 3. 4. 5. 6. 7. 8.

Enter the number of objects. Press MATH. Select PRB. Choose 3:nCr. Press ENTER. Enter the number of objects taken at a time. Press ENTER. Divide 1 by the resulting number of combinations to find the probability of any single combination occurring.

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Factorial TI-84 1. 2. 3. 4. 5.

Enter the value for which you are calculating the factorial. Press MATH. Select PRB. Choose 4:! Press ENTER.

Permutation TI-84 1. 2. 3. 4. 5. 6. 7.

Enter the number of objects. Press MATH. Select PRB. Choose 2:nPr. Press ENTER. Enter the number of objects you are taking at a time. Press ENTER.

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Descriptive Statistics One Variable TI-84 1. 2. 3. 4. 5. 6. 7.

Press STAT and navigate to the EDIT menu Choose 1:Edit and press ENTER Input the data in the column labeled L1, pressing ENTER after each value Press QUIT (2nd MODE) Press STAT and navigate to the CALC menu Choose 1:1-Var Stats and press ENTER Press L1 (2nd 1) and press ENTER

Two Variable TI-84 Variance of a Discrete Random Variable Weighted Mean

1. 2. 3. 4.

Press STAT and navigate to the EDIT menu Choose 1:Edit and press ENTER Input the weight values in the column labeled L1, pressing ENTER after each value Input the frequency values in the column labeled L2

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5. 6. 7. 8.

Press QUIT (2nd MODE) Press STAT and navigate to the CALC menu Choose 1:1-Var Stats and press ENTER Press L1 (2nd 1), then insert a comma and press L2 (2nd 2)

9. Press ENTER

F-Distribution F-Probability (cdf) TI-83 1. 2. 3. 4.

Choose DISTR (2nd VARS). Select option 9:Fcdf. Press ENTER. Input the lower F value , the upper F value , the numerator degrees of freedom , the denominator degrees of freedom

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Note: If you a finding a probability from negative infinity or to positive infinity, you can enter a large value such as 10E6 (E entered with 2nd ,).

Graphs Histogram TI-84 1. Choose WINDOW 2. Set the corresponding variables. Enter the value that begins each class in L1 and its frequency in L2. To do this choose STAT and Edit.

3. Choose STAT PLOT by pressing 2nd Y=. 4. Press ENTER 5. Select On and the histogram graph.

6. Select GRAPH to display the histogram

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Hypothesis Testing Paired Difference TI-84 1. Enter the data in the lists L1 and L2. Let L1 be the "before" levels and L2 be the "after" levels. 2. Highlight L3 and enter the formula L1 (2nd 1) – L2 (2nd 2) and then ENTER.

3. Press STAT. 4. Select TESTS. 5. Select option 2:T-Test. 6. Choose the Data option. 7. Enter 0 for µ0. 8. Enter L3 for List by pressing 2nd and then 3. 9. The frequency of the data (Freq) is the default value which is 1. 10. Choose ≠µ0 for the alternative hypothesis. 11. Choose Calculate.

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z-Test TI-84 1. 2. 3. 4. 5.

Choose STAT. Select TESTS. Select option 1:Z-Test. Press ENTER. Input the corresponding values.

6. Press Calculate. 7. Observe the results on the screen.

t-Test 16

TI-84 1. 2. 3. 4. 5.

Choose STAT. Select TESTS. Select option 2:T-Test. Press ENTER. Input the corresponding values.

6. Press Calculate. 7. Observe the results on the screen.

Two Proportion z-Test TI-84

Two Sample t-Test TI-84 1. 2. 3. 4. 5.

Choose STAT. Select TESTS. Select option 4:2-SampTTest. Press ENTER. Input the corresponding values. a. You have the option to input Data or Stats. i. Data – If you have the raw data and it is a small enough sample where it is reasonable to enter, you will get a more exact answer

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ii.

using this than the summary statistics. See Adding Info to Lists (TI84) for further help on entering your data. Stats – Use this option if you were provided summary statistics.

6. Select Yes or No for Pooled. a. Choose Yes if you are assuming the population variances to be equal. b. Choose No if you are not assuming the population variances to be equal. 7. Press Calculate.

Two Sample z-Test TI-84 1. 2. 3. 4. 5.

Choose STAT. Select TESTS. Select option 3:2-SampZTest. Press ENTER. Input the corresponding values.

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6. Press Calculate.

Normal Distribution Inverse Normal TI-84 1. 2. 3. 4. 5. 6.

Choose DISTR (2nd VARS). Select option 3:invNorm. Press ENTER. Input the area to the left of z. (If given the area to the right of z, subtract from 1.) (If non-standard normal, input , mean , standard deviation.) Press ENTER.

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Normal Probability (cdf) TI-84 1. 2. 3. 4.

Choose DISTR (2nd VARS). Select option 2:normalcdf. Press ENTER. Input the lower x or z value , the upper x or z value , the mean of the distribution (not required if providing z scores – if not entered assumed to be 0), the standard deviation of the distribution (not required if providing z-scores – if not entered assumed to be 1). Note: If you a finding a probability from negative infinity or to positive infinity, you can enter a large value such as 10E6 (E entered with 2nd ,).

5. Press ENTER.

Normal Probability Graph TI-84 1. 2. 3. 4. 5. 6.

Choose DISTR (2nd VARS). Select DRAW. Choose option 1:ShadeNorm. Press ENTER. Input the (lower bound, upper bound, µ, σ). Press ENTER. Note: To properly view the graph you may need to adjust the WINDOW. In this example Xmin=30, Xmax=50, Ymin=-0.007, and Ymax=0.025.

Poisson Distribution Poisson Probability (cdf) TI-84 20

1. 2. 3. 4. 5.

Choose DIST (2nd VARS). Select C:poissoncdf. Press ENTER. Input the mean and the number of successes. Press ENTER.

Poisson Probability (pdf) TI-84 1. 2. 3. 4. 5.

Choose DIST (2nd VARS). Select B:poissonpdf. Press ENTER. Input the mean and the number of successes. Press ENTER.

Poisson Probability Distribution TI-84 1. 2. 3. 4.

Choose DIST (2nd VARS). Select B:poissonpdf. Press ENTER. Input the mean and the number of successes you want to store the probability for in braces. 5. Close the parentheses. 6. Then store the list in L2 by pressing STO→L2 (2nd 2).

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7. Press ENTER. 8. Press STAT. 9. Choose EDIT. 10. Select Edit. 11. Press ENTER. 12. Input the values 0 to n in L1.

Regression Simple Linear Regression TI-84 Finding the Regression Line

1. Press CATALOG (2nd 0) 2. Scroll down to the option that reads DiagnosticOn 3. Press ENTER until the screen says "Done" 4. Press STAT and navigate to the EDIT menu 5. Choose 1:Edit and press ENTER 6. Enter the independent variables into L1, and the dependent variables into L2 7. Press QUIT (2nd MODE) 8. Press STAT and navigate to the CALC menu 9. Choose 4:LinReg(ax+b) and press ENTER 10. Press L1 (2nd 1), then insert a comma and press L2 (2nd 2) 11. Press ENTER

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Note: If Diagnostics are OFF, only the equation and values of a and b will be displayed.

Storing the Regression Line

1. After finding the regression line, press Y=. 2. Put active cursor in Y1. 3. Press VARS. 4. Choose 5: Statistics. 5. Choose EQ. 6. Choose 1:RegEQ. 7. Press ENTER. 8. Press STAT. 9. Choose TESTS. 10. Choose E:LinRegTTest. 11. Press ENTER. Calculating the P-value

1. After finding and storing the regression line, press STAT and navigate to the TESTS menu. 2. Choose E:LinRegTTest and press ENTER. 3. Verify the Xlist, Ylist, and Freq. 4. Verify ≠0 is selected for β & p. 5. Put active cursor following RegEQ. 6. Press VARS. 7. Choose Y-VARS. 8. Choose 1:Function. 9. Press ENTER. 10. Choose 1:Y1. 11. Press ENTER. 12. Move active cursor to Calculate. 13. Press ENTER.

Sampling 23

Random Samples TI-84 1. Choose MATH, then select PRB and option 5:randInt. Press ENTER, and then input the (minimum number, maximum number, quantity of random numbers desired). Press ENTER, and the random numbers are listed on the screen.

t-Distribution t-Probability (cdf) TI-83 1. 2. 3. 4.

Choose DISTR (2nd VARS). Select option 5:tcdf. Press ENTER. Input the lower t value , the upper t value , and the degrees of freedom

Note: If you a finding a probability from negative infinity or to positive infinity, you can enter a large value such as 10E6 (E entered with 2nd ,).

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