Statistics for the Behavioral Sciences by Frederick J. Gravetter, Larry B. Wallnau ISBN 10: 1305504917 ISBN 13: 9781305504912

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642 APPENDIX A | Basic Mathematics ReviewAlso,(Ïb) 2 5 bFor example,(Ï64) 2 5 8 2 5 64Computations under the same radical are performed before the square root is taken.For example,Ï9 1 16 5 Ï25 5 5Note that with addition (or subtraction), separate radicals yield a different result:Therefore,Ï9 1 Ï16 5 3 1 4 5 7ÏX 1 ÏY Þ ÏX 1 YÏX 2 ÏY Þ ÏX 2 YIf the numerator and denominator of a fraction each have a radical, then the entirefraction can be placed under a single radical:Therefore,Ï16Ï4 5 Î 16 4ÏX42 5 Ï42 5 2ÏY 5 Î X YAlso, if the square root of one number is multiplied by the square root of another number,then the same result would be obtained by taking the square root of the product ofboth numbers. For example,Therefore,Ï9 3 Ï16 5 Ï9 3 163 3 4 5 Ï14412 5 12Ïa 3 Ïb 5 Ïab
APPENDIX A | Basic Mathematics Review 643LEARNING CHECKANSWERS1. Perform the following computations:a. (26) 3b. (3 1 7) 2c. a 3 b 2 when a 5 2 and b 5 25d. a 4 b 3 when a 5 2 and b 5 3e. (XY) 2 when X 5 3 and Y 5 5f. X 2 1 Y 2 when X 5 3 and Y 5 5g. (X 1 Y) 2 when X 5 3 and Y 5 5h. Ï5 1 4i. (Ï9) 2j.Ï16Ï41. a. 2216 b. 100 c. 200 d. 432 e. 225f. 34 g. 64 h. 3 i. 9 j. 2Problems for Appendix A Basic Mathematics Review1. 50/(10 2 8) 5 ?2. (2 1 3) 2 5 ?3. 20/10 3 3 5 ?4. 12 2 4 3 2 1 6/3 5 ?5. 24/(12 2 4) 1 2 3 (6 1 3) 5 ?6. Convert 720 to a decimal.7. Express 925 as a percentage.8. Convert 0.91 to a fraction.9. Express 0.0031 as a fraction.10. Next to each set of fractions, write “True” if they areequivalent and “False” if they are not:4a.1000 5 2100b. 5 6 5 5262c. 1 8 5 7 5611. Perform the following calculations:a. 4 5 3 2 3 5 ? b. 7 9 4 2 3 5 ?c. 3 8 1 1 5 5 ? d. 518 2 1 6 5 ?12. 2.51 3 0.017 5 ?13. 3.88 3 0.0002 5 ?14. 3.17 1 17.0132 5 ?15. 5.55 1 10.7 1 0.711 1 3.33 1 0.031 5 ?16. 2.04 4 0.2 5 ?17. 0.36 4 0.4 5 ?18. 5 1 3 2 6 2 4 1 3 5 ?19. 9 2 (21) 2 17 1 3 2 (24) 1 5 5 ?20. 5 1 3 2 (28) 2 (21) 1 (23) 2 4 1 10 5 ?21. 8 3 (23) 5 ?22. 222 4 (22) 5 ?23. 22(24) 2 (23) 5 ?24. 84 4 (24) 5 ?Solve the equations in problems 25232 for X.25. X 2 7 5 22 26. 9 5 X 1 327. X 4 5 11 28. 23 5 X 329. X 1 3 5 2 30. X 1 1 5 285331. 6X 2 1 5 11 32. 2X 1 3 5 21133. (25) 2 5 ? 34. (25) 3 5 ?35. If a 5 4 and b 5 3, then a 2 1 b 4 5 ?36. If a 5 21 and b 5 4, then (a 1 b) 2 5 ?37. If a 5 21 and b 5 5, then ab 2 5 ?1838. ÎÏ4 5 ? 39. 20 5 5 ?
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EDITION10Statistics for theBehavior
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Statistics for the Behavioral Scien
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CONTENTSCHAPTER 1 Introduction to S
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CONTENTSvii5.4 Using z-Scores to St
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CONTENTSixCHAPTER 10 The t Test for
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CONTENTSxiCHAPTER 15 Correlation 48
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PREFACEMany students in the behavio
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PREFACExv3. The former Chapter 19,
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PREFACExviiTo the StudentA primary
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ABOUT THE AUTHORSFREDERICK J GRAVET
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PREVIEWBefore we begin our discussi
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4 CHAPTER 1 | Introduction to Stati
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10 CHAPTER 1 | Introduction to Stat
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PREVIEWThere is some evidence that
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36 CHAPTER 2 | Frequency Distributi
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Central TendencyCHAPTER3Tools You W
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SECTION 3.1 | Overview 69DEFINITION
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SECTION 3.2 | The Mean 71research r
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SECTION 3.2 | The Mean 73the distri
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SECTION 3.2 | The Mean 75TABLE 3.1S
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SECTION 3.2 | The Mean 77Table 3.2
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SECTION 3.3 | The Median 793.3 The
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SECTION 3.3 | The Median 81To find
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SECTION 3.4 | The Mode 832. What is
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SECTION 3.4 | The Mode 85FIGURE 3.7
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SECTION 3.5 | Selecting a Measure o
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SECTION 3.6 | Central Tendency and
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FOCUS ON PROBLEM SOLVING 95of centr
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PROBLEMS 976. A population of N = 1
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VariabilityCHAPTER4Tools You Will N
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SECTION 4.1 | Introduction to Varia
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SECTION 4.2 | Defining Standard Dev
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SECTION 4.3 | Measuring Variance an
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SECTION 4.4 | Measuring Standard De
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SECTION 4.5 | Sample Variance as an
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SECTION 4.6 | More about Variance a
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SUMMARY 1252. A population has a me
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FOCUS ON PROBLEM SOLVING 127VAR0000
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PROBLEMS 1299. For the following se
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z-Scores: Location of Scoresand Sta
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SECTION 5.1 | Introduction to z-Sco
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SECTION 5.2 | z-Scores and Location
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SECTION 5.2 | z-Scores and Location
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SECTION 5.3 | Other Relationships B
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SECTION 5.4 | Using z-Scores to Sta
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SECTION 5.4 | Using z-Scores to Sta
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SECTION 5.5 | Other Standardized Di
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SECTION 5.5 | Other Standardized Di
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SECTION 5.6 | Computing z-Scores fo
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SECTION 5.7 | Looking Ahead to Infe
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SUMMARY 153LEARNING CHECK1. In N =
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DEMONSTRATION 5.2 155sure that your
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PROBLEMS 15716. A distribution of e
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PREVIEWHow likely is it that you wi
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162 CHAPTER 6 | Probabilitythe prob
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164 CHAPTER 6 | Probability(Note: W
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166 CHAPTER 6 | ProbabilityFIGURE 6
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168 CHAPTER 6 | Probability■ The
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170 CHAPTER 6 | ProbabilityFinding
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172 CHAPTER 6 | Probabilityand exac
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174 CHAPTER 6 | ProbabilityFinally,
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176 CHAPTER 6 | ProbabilityXz-score
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178 CHAPTER 6 | ProbabilityBOX 6.1
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180 CHAPTER 6 | ProbabilityEXAMPLE
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182 CHAPTER 6 | ProbabilityFIGURE 6
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184 CHAPTER 6 | Probability6.5 Look
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186 CHAPTER 6 | Probability2. For a
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188 CHAPTER 6 | ProbabilityDEMONSTR
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190 CHAPTER 6 | Probability6. Draw
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Probability and Samples: TheDistrib
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SECTION 7.1 | Samples, Populations,
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SECTION 7.1 | Samples, Populations,
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SECTION 7.2 | The Distribution of S
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SECTION 7.3 | Probability and the D
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SECTION 7.3 | Probability and the D
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SECTION 7.4 | More about Standard E
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SECTION 7.4 | More about Standard E
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FOCUS ON PROBLEM SOLVING 219SUMMARY
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PROBLEMS 221STEP 2Compute the z-sco
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Introduction toHypothesis TestingCH
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SECTION 8.1 | The Logic of Hypothes
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SECTION 8.2 | Uncertainty and Error
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SECTION 8.2 | Uncertainty and Error
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SECTION 8.3 | More about Hypothesis
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SECTION 8.3 | More about Hypothesis
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SECTION 8.4 | Directional (One-Tail
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SECTION 8.5 | Concerns about Hypoth
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SECTION 8.5 | Concerns about Hypoth
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SECTION 8.6 | Statistical Power 255
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FOCUS ON PROBLEM SOLVING 2618. The
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PROBLEMS 263In this distribution, o
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PROBLEMS 26513. A random sample is
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Introduction to the t StatisticCHAP
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SECTION 9.1 | The t Statistic: An A
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SECTION 9.2 | Hypothesis Tests with
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SECTION 9.2 | Hypothesis Tests with
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SECTION 9.3 | Measuring Effect Size
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SECTION 9.4 | Directional Hypothese
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SUMMARY 2913. A researcher rejects
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DEMONSTRATION 9.1 293One-Sample Sta
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PROBLEMS 295PROBLEMS1. Under what c
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PROBLEMS 297b. Construct the 90% co
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The t Test for TwoIndependent Sampl
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SECTION 10.1 | Introduction to the
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SECTION 10.2 | The Null Hypothesis
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SECTION 10.3 | Hypothesis Tests wit
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SECTION 10.4 | Effect Size and Conf
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SECTION 10.5 | The Role of Sample V
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KEY TERMS 325SUMMARY1. The independ
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FOCUS ON PROBLEM SOLVING 327Group S
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PROBLEMS 329The t Statistic Finally
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PROBLEMS 331c. Write a sentence dem
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PROBLEMS 33319. If other factors ar
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PREVIEWIt’s the night before an e
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338 CHAPTER 11 | The t Test for Two
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PREVIEWYour job interview is tomorr
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368 CHAPTER 12 | Introduction to An
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Repeated-MeasuresAnalysis of Varian
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SECTION 13.1 | Overview of the Repe
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SECTION 13.2 | Hypothesis Testing a
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SECTION 13.3 | More about the Repea
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SPSS ® 4375. When the obtained F-r
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DEMONSTRATION 13.1 439you must also
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PROBLEMS 441PROBLEMS1. How does the
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PROBLEMS 44313. The following summa
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PROBLEMS 44523. The following data
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Two-FactorAnalysis of Variance(Inde
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SECTION 14.1 | An Overview of the T
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SECTION 14.2 | An Example of the Tw
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SECTION 14.3 | More about the Two-F
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SUMMARY 473SUMMARY1. A research stu
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FOCUS ON PROBLEM SOLVING 475Descrip
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DEMONSTRATION 14.1 477STEP 2STAGE 1
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PROBLEMS 479PROBLEMS1. Define each
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PROBLEMS 48115. Research results in
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PROBLEMS 483EasyFactorA TaskDifficu
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PREVIEWA recent report describing t
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488 CHAPTER 15 | CorrelationDEFINIT
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490 CHAPTER 15 | CorrelationDEFINIT
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492 CHAPTER 15 | CorrelationSubstit
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494 CHAPTER 15 | Correlationeither
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496 CHAPTER 15 | Correlationreliabl
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498 CHAPTER 15 | Correlation60Numbe
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500 CHAPTER 15 | CorrelationOne of
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502 CHAPTER 15 | CorrelationBOX 15.
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504 CHAPTER 15 | Correlation171615Z
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506 CHAPTER 15 | Correlation3. What
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508 CHAPTER 15 | Correlationon the
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510 CHAPTER 15 | CorrelationLEARNIN
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512 CHAPTER 15 | CorrelationScoresR
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514 CHAPTER 15 | CorrelationThe pro
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516 CHAPTER 15 | Correlationthat a
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518 CHAPTER 15 | Correlationmeasure
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520 CHAPTER 15 | CorrelationSUMMARY
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522 CHAPTER 15 | CorrelationTo comp
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524 CHAPTER 15 | CorrelationSTEP 2C
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526 CHAPTER 15 | Correlation14. Ide
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Introduction to RegressionCHAPTER16
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SECTION 16.1 | Introduction to Line
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SECTION 16.2 | The Standard Error o
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SECTION 16.3 | Introduction to Mult
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KEY TERMS 553a predicted portion an
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DEMONSTRATION 16.1 555DEMONSTRATION
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PROBLEMS 557Alzheimer’s disease.
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The Chi-Square Statistic:Tests for
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SECTION 17.1 | Introduction to Chi-
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SECTION 17.2 | An Example of the Ch
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SECTION 17.3 | The Chi-Square Test
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SECTION 17.4 | Effect Size and Assu
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SECTION 17.4 | Effect Size and Assu
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SECTION 17.5 | Special Applications
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SECTION 17.5 | Special Applications
Page 613 and 614: SUMMARY 591With df = 2 and α = .05
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Page 626 and 627: PREVIEWIn 1960, Gibson and Walk des
Page 628 and 629: 606 CHAPTER 18 | The Binomial Testp
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Page 647 and 648: Basic Mathematics ReviewAPPENDIXAPR
Page 649 and 650: APPENDIX A | Basic Mathematics Revi
Page 663: APPENDIX A | Basic Mathematics Revi
Page 667: APPENDIX A | Basic Mathematics Revi
Page 670 and 671: 648 APPENDIX B | Statistical Tables
Page 686 and 687: 664 APPENDIX C | Solutions for Odd-
Page 706 and 707: 684 APPENDIX D | General Instructio
Page 709 and 710: Hypothesis Tests for OrdinalData: M
Page 711 and 712: APPENDIX E | Hypothesis Tests for O
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APPENDIX E | Hypothesis Tests for O
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702 Statistics Organizer: Finding t
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ReferencesAckerman, R. (2011). Meta
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REFERENCES 719Alzheimer’s disease
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REFERENCES 721of aging and estrogen
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724 NAME INDEXKaell, A., 622Kahn, K
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726 SUBJECT INDEXConfidence interva
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728 SUBJECT INDEXIndependent random
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730 SUBJECT INDEXResearch studies,
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732 SUBJECT INDEXTwo-factor ANOVA (
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Statistics for the Behavioral Sciences by Frederick J. Gravetter, Larry B. Wallnau ISBN 10: 1305504917 ISBN 13: 9781305504912

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