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Table: Chi-Square Probabilities

NOTE: The areas given across the top (α level) are the areas to the right of the critical value:

df 0.995 0.99 0.975 0.95 0.90 0.10 0.05 0.025 0.01 0.005

1 — — 0.001 0.004 0.016 2.706 3.841 5.024 6.635 7.879

2 0.010 0.020 0.051 0.103 0.211 4.605 5.991 7.378 9.210 10.597

3 0.072 0.115 0.216 0.352 0.584 6.251 7.815 9.348 11.345 12.838

4 0.207 0.297 0.484 0.711 1.064 7.779 9.488 11.143 13.277 14.860

5 0.412 0.554 0.831 1.145 1.610 9.236 11.070 12.833 15.086 16.750

6 0.676 0.872 1.237 1.635 2.204 10.645 12.592 14.449 16.812 18.548

7 0.989 1.239 1.690 2.167 2.833 12.017 14.067 16.013 18.475 20.278

8 1.344 1.646 2.180 2.733 3.490 13.362 15.507 17.535 20.090 21.955

9 1.735 2.088 2.700 3.325 4.168 14.684 16.919 19.023 21.666 23.589

10 2.156 2.558 3.247 3.940 4.865 15.987 18.307 20.483 23.209 25.188

11 2.603 3.053 3.816 4.575 5.578 17.275 19.675 21.920 24.725 26.757

12 3.074 3.571 4.404 5.226 6.304 18.549 21.026 23.337 26.217 28.300

13 3.565 4.107 5.009 5.892 7.042 19.812 22.362 24.736 27.688 29.819

14 4.075 4.660 5.629 6.571 7.790 21.064 23.685 26.119 29.141 31.319

15 4.601 5.229 6.262 7.261 8.547 22.307 24.996 27.488 30.578 32.801

16 5.142 5.812 6.908 7.962 9.312 23.542 26.296 28.845 32.000 34.267

17 5.697 6.408 7.564 8.672 10.085 24.769 27.587 30.191 33.409 35.718

18 6.265 7.015 8.231 9.390 10.865 25.989 28.869 31.526 34.805 37.156

19 6.844 7.633 8.907 10.117 11.651 27.204 30.144 32.852 36.191 38.582

20 7.434 8.260 9.591 10.851 12.443 28.412 31.410 34.170 37.566 39.997

21 8.034 8.897 10.283 11.591 13.240 29.615 32.671 35.479 38.932 41.401

22 8.643 9.542 10.982 12.338 14.041 30.813 33.924 36.781 40.289 42.796

23 9.260 10.196 11.689 13.091 14.848 32.007 35.172 38.076 41.638 44.181

24 9.886 10.856 12.401 13.848 15.659 33.196 36.415 39.364 42.980 45.559

25 10.520 11.524 13.120 14.611 16.473 34.382 37.652 40.646 44.314 46.928

26 11.160 12.198 13.844 15.379 17.292 35.563 38.885 41.923 45.642 48.290

27 11.808 12.879 14.573 16.151 18.114 36.741 40.113 43.195 46.963 49.645

28 12.461 13.565 15.308 16.928 18.939 37.916 41.337 44.461 48.278 50.993

29 13.121 14.256 16.047 17.708 19.768 39.087 42.557 45.722 49.588 52.336

30 13.787 14.953 16.791 18.493 20.599 40.256 43.773 46.979 50.892 53.672

40 20.707 22.164 24.433 26.509 29.051 51.805 55.758 59.342 63.691 66.766

50 27.991 29.707 32.357 34.764 37.689 63.167 67.505 71.420 76.154 79.490

60 35.534 37.485 40.482 43.188 46.459 74.397 79.082 83.298 88.379 91.952

70 43.275 45.442 48.758 51.739 55.329 85.527 90.531 95.023 100.425 104.215

80 51.172 53.540 57.153 60.391 64.278 96.578 101.879 106.629 112.329 116.321

90 59.196 61.754 65.647 69.126 73.291 107.565 113.145 118.136 124.116 128.299

100 67.328 70.065 74.222 77.929 82.358 118.498 124.342 129.561 135.807 140.169

Table: Chi-Square Probabilities

NOTE: The areas given across the top (α level) are the areas to the right of the critical value:

df 0.995 0.99 0.975 0.95 0.90 0.10 0.05 0.025 0.01 0.005

1 — — 0.001 0.004 0.016 2.706 3.841 5.024 6.635 7.879

2 0.010 0.020 0.051 0.103 0.211 4.605 5.991 7.378 9.210 10.597

3 0.072 0.115 0.216 0.352 0.584 6.251 7.815 9.348 11.345 12.838

4 0.207 0.297 0.484 0.711 1.064 7.779 9.488 11.143 13.277 14.860

5 0.412 0.554 0.831 1.145 1.610 9.236 11.070 12.833 15.086 16.750

6 0.676 0.872 1.237 1.635 2.204 10.645 12.592 14.449 16.812 18.548

7 0.989 1.239 1.690 2.167 2.833 12.017 14.067 16.013 18.475 20.278

8 1.344 1.646 2.180 2.733 3.490 13.362 15.507 17.535 20.090 21.955

9 1.735 2.088 2.700 3.325 4.168 14.684 16.919 19.023 21.666 23.589

10 2.156 2.558 3.247 3.940 4.865 15.987 18.307 20.483 23.209 25.188

11 2.603 3.053 3.816 4.575 5.578 17.275 19.675 21.920 24.725 26.757

12 3.074 3.571 4.404 5.226 6.304 18.549 21.026 23.337 26.217 28.300

13 3.565 4.107 5.009 5.892 7.042 19.812 22.362 24.736 27.688 29.819

14 4.075 4.660 5.629 6.571 7.790 21.064 23.685 26.119 29.141 31.319

15 4.601 5.229 6.262 7.261 8.547 22.307 24.996 27.488 30.578 32.801

16 5.142 5.812 6.908 7.962 9.312 23.542 26.296 28.845 32.000 34.267

17 5.697 6.408 7.564 8.672 10.085 24.769 27.587 30.191 33.409 35.718

18 6.265 7.015 8.231 9.390 10.865 25.989 28.869 31.526 34.805 37.156

19 6.844 7.633 8.907 10.117 11.651 27.204 30.144 32.852 36.191 38.582

20 7.434 8.260 9.591 10.851 12.443 28.412 31.410 34.170 37.566 39.997

21 8.034 8.897 10.283 11.591 13.240 29.615 32.671 35.479 38.932 41.401

22 8.643 9.542 10.982 12.338 14.041 30.813 33.924 36.781 40.289 42.796

23 9.260 10.196 11.689 13.091 14.848 32.007 35.172 38.076 41.638 44.181

24 9.886 10.856 12.401 13.848 15.659 33.196 36.415 39.364 42.980 45.559

25 10.520 11.524 13.120 14.611 16.473 34.382 37.652 40.646 44.314 46.928

26 11.160 12.198 13.844 15.379 17.292 35.563 38.885 41.923 45.642 48.290

27 11.808 12.879 14.573 16.151 18.114 36.741 40.113 43.195 46.963 49.645

28 12.461 13.565 15.308 16.928 18.939 37.916 41.337 44.461 48.278 50.993

29 13.121 14.256 16.047 17.708 19.768 39.087 42.557 45.722 49.588 52.336

30 13.787 14.953 16.791 18.493 20.599 40.256 43.773 46.979 50.892 53.672

40 20.707 22.164 24.433 26.509 29.051 51.805 55.758 59.342 63.691 66.766

50 27.991 29.707 32.357 34.764 37.689 63.167 67.505 71.420 76.154 79.490

60 35.534 37.485 40.482 43.188 46.459 74.397 79.082 83.298 88.379 91.952

70 43.275 45.442 48.758 51.739 55.329 85.527 90.531 95.023 100.425 104.215

80 51.172 53.540 57.153 60.391 64.278 96.578 101.879 106.629 112.329 116.321

90 59.196 61.754 65.647 69.126 73.291 107.565 113.145 118.136 124.116 128.299

100 67.328 70.065 74.222 77.929 82.358 118.498 124.342 129.561 135.807 140.169

MGT 600 – HRM Metrics and Analytics (Fall 2021) – Final Exam Study Guide

Like the midterm, your final exam will also consist of fifty (50) multiple choice questions (worth 1 point each). You will

have a total of 3 hours to complete the exam. It will be posted at midnight on Friday, December 10th and will be due

promptly at midnight on Sunday, December 12th. You may take it at your convenience, but please don’t wait until the

last minute to start it! Late submissions will not be accepted. When taking the exam, you may use your textbook

and your notes – however, you must do your own work!

I expect you to take the exam when scheduled. I do not give make-up exams, except in the rarest of documented

emergencies – and even then, it will be an essay exam that includes a significant deduction in points. Regardless of

your excuse, it would be grossly unfair to the rest of your classmates if I were to allow you to take the exam at a later

date. Consequently, please be sure to be available during the weekend of December 10 – 12 to take the exam.

And please remember my policy on academic dishonesty! Not only will you receive an “F” for the entire course,

but your behavior will be documented as part of your complete CSU transcript.

Chapter 6 – Estimation and Confidence Intervals

There’s not really much I can test you on from this chapter, since it basically “sets up” the other chapters!

Chapter 7 – Hypothesis Testing

Another “foundation” chapter – not a lot to test you on…

1. As far as hypothesis testing goes, I will show you a 2 x 2 grid (Decision vs. Reality) – you’ll need to fill

it in (Correct Decision, Type I Error, Type II Error).

2. As far as hypothesis testing goes, I will show you a 2 x 2 grid (Decision vs. Reality) – you’ll need to fill

it in (Correct Decision, False Positive, False Negative).

3. If you find a “statistically significant result” – do you accept or reject the null hypothesis?

All Chapters

4. I will give you a scenario – it will include a combination of hypotheses, means, standard deviations,

etc. – and you’ll need to tell me what type of statistical test or calculation should be used. Your

choices will include some combination of the following (HINT: Each correct answer will only appear

once!):

a. z-Test

b. One-Sample t-Test

c. Independent-Samples t-Test

d. Paired-Samples t-Test

e. One-Way Analysis of Variance (ANOVA)

f. Two-Way Analysis of Variance (ANOVA)

g. Chi-Square (X

2

) Test for Goodness of Fit

h. Chi-Square (X

2

) Test for Association

i. Correlation

j. Simple Linear Regression Analysis

k. Multiple Regression Analysis

5. See question #4

6. See question #4

7. See question #4

8. See question #4

9. See question #4

10. See question #4

11. See question #4

12. See question #4

13. See question #4

14. See question #4

Chapter 8 – z-Tests and One-Sample t-Tests

15. I will give you a solved problem. You’ll need to tell me, using the appropriate critical value table, and

based on the df and whether it is a one-tailed or two-tailed test, if you should accept or reject the H0.

You won’t have to do any calculations with formulas – but I do expect you to know what the results

mean.

16. Again, I will give you a solved problem. You’ll need to tell me, using the appropriate critical value

table, and based on the df and whether it is a one-tailed or two-tailed test, if you should accept or

reject the H0. You won’t have to do any calculations with formulas – but I do expect you to know what

the results mean.

17. Once again, I will give you a solved problem. You’ll need to tell me, using the appropriate critical value

table, and based on the df and whether it is a one-tailed or two-tailed test, if you should accept or

reject the H0. You won’t have to do any calculations with formulas – but I do expect you to know what

the results mean.

18. One more time…I will give you a solved problem. You’ll need to tell me, using the appropriate critical

value table, and based on the df and whether it is a one-tailed or two-tailed test, if you should accept

or reject the H0. You won’t have to do any calculations with formulas – but I do expect you to know

what the results mean.

Chapter 9 – Paired- and Independent-Samples t-Tests

19. I will give you a solved problem. You’ll need to tell me, using the appropriate critical value table, and

based on the df and whether it is a one-tailed or two-tailed test, if you should accept or reject the H0.

You won’t have to do any calculations with formulas – but I do expect you to know what the results

mean.

20. Again, I will give you a solved problem. You’ll need to tell me, using the appropriate critical value

table, and based on the df and whether it is a one-tailed or two-tailed test, if you should accept or

reject the H0. You won’t have to do any calculations with formulas – but I do expect you to know what

the results mean.

21. Once again, I will give you a solved problem. You’ll need to tell me, using the appropriate critical value

table, and based on the df and whether it is a one-tailed or two-tailed test, if you should accept or

reject the H0. You won’t have to do any calculations with formulas – but I do expect you to know what

the results mean.

22. One more time…I will give you a solved problem. You’ll need to tell me, using the appropriate critical

value table, and based on the df and whether it is a one-tailed or two-tailed test, if you should accept

or reject the H0. You won’t have to do any calculations with formulas – but I do expect you to know

what the results mean.

Chapter 10 – Analysis of Variance (ANOVA)

23. An ANOVA calculation is based on a comparison between what two types of variance? Describe both.

24. I will give you a solved problem. You’ll need to tell me, using the appropriate critical value table, and

based on the df, if you should accept or reject the H0. You won’t have to do any calculations with

formulas – but I do expect you to know what the results mean.

25. Again, I will give you a solved problem. You’ll need to tell me, using the appropriate critical value

table, and based on the df, if you should accept or reject the H0. You won’t have to do any

calculations with formulas – but I do expect you to know what the results mean.

Chapter 11 – Chi-Square (X

2

) Tests of Fit

26. In conducting a chi-square analysis (and specifically, single partitions), two requirements are mutual

exclusivity and exhaustivity – describe both.

27. I will give you a solved problem. You’ll need to tell me, using the appropriate critical value table, and

based on the df, if you should accept or reject the H0. You won’t have to do any calculations with

formulas – but I do expect you to know what the results mean.

Chapter 11 – Chi-Square (X

2

) Tests of Fit (continued)

28. Again, I will give you a solved problem. You’ll need to tell me, using the appropriate critical value table,

and based on the df, if you should accept or reject the H0. You won’t have to do any calculations with

formulas – but I do expect you to know what the results mean.

29. Once again, I will give you a solved problem. You’ll need to tell me, using the appropriate critical value

table, and based on the df, if you should accept or reject the H0. You won’t have to do any calculations

with formulas – but I do expect you to know what the results mean.

30. One more time…I will give you a solved problem. You’ll need to tell me, using the appropriate critical

value table, and based on the df, if you should accept or reject the H0. You won’t have to do any

calculations with formulas – but I do expect you to know what the results mean.

Chapter 12 – Correlation and Regression

31. What is the possible range of any given correlation coefficient?

32. Know the difference between a positive correlation, negative correlation, and zero correlation. I will

give you a definition and expect you to tell me which correlation I’m describing.

33. Again, know the difference between a positive correlation, negative correlation, and zero correlation. I

will give you an example using two variables and expect you to tell me which correlation is most likely.

34. Once again, know the difference between a positive correlation, negative correlation, and zero

correlation. I will give you an example using two variables and expect you to tell me which correlation

is most likely.

35. I will list a series of correlation coefficients – you need to tell me which one is the strongest one.

36. Again, I will list a series of correlation coefficients – you need to tell me which one is the strongest one.

37. I will show you a scatterplot – you need to tell me which of four correlations is most representative of

the graph.

38. Again, I will show you a scatterplot – you need to tell me which of four correlations is most

representative of the graph.

39. What is meant by “restriction of range”?

40. What is meant by an “outlier”?

41. I will give you a solved problem. You’ll need to tell me, using the appropriate critical value table, and

based on the df, if you should accept or reject the H0. You won’t have to do any calculations with

formulas – but I do expect you to know what the results mean.

42. Again, I will give you a solved problem. You’ll need to tell me, using the appropriate critical value

table, and based on the df, if you should accept or reject the H0. You won’t have to do any

calculations with formulas – but I do expect you to know what the results mean.

43. In statistics, what is the mathematical equation for the “best fit” regression line?

44. I will show you a regression equation – you’ll need to tell me which value is the y-intercept.

45. I will show you a regression equation – you’ll need to tell me which value is the slope.

46. I will give you a correlation coefficient – you’ll need to calculate a coefficient of determination.

47. By definition, what is a “coefficient of determination”? What does it tell you?

48. What is meta analysis? Path analysis? Factor analysis?

49. Again, what is meta analysis? Path analysis? Factor analysis?

50. Once again, what is meta analysis? Path analysis? Factor analysis?

I know it looks like a lot of complicated stuff – but all of this will be covered in the course. Your

textbook will serve as an additional reference and a source for more practice problems. To

prepare, look back through my examples and the homework problems. In addition, study those

critical value tables to feel more comfortable with their use when testing hypotheses – you won’t

want to spend too much time answering any one exam problem.

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