Statistics C1000: Introduction to Statistics

by Toros Berberyan, Tracy Nguyen, and Alfie Swan

Read here Read at LibreTextsPDF

This textbook was developed using the official objectives for Statistics C1000 courses in the California Community College system, with additional objectives specific to Citrus College. It offers a broad survey of statistical topics consistent with standard introductory texts and aligns with common learning outcomes. This edition does not include exercises; however, an alternate version is available with a full set of practice problems.

Description from LibreTexts.

Publisher
Citrus College
Subjects
Statistics
Licence
CC BY-SA 4.0, as LibreTexts states it
Who can read
Tweens profiles and older, judged from its title and subjects

Contents

LibreTexts writes equations in TeX, and here they show as TeX; the PDF has them typeset.

  1. Front Matter
  2. TitlePage
  3. InfoPage
  4. Table of Contents
  5. Licensing
  6. Getting Started with MyOpenMath: Access and Key Information (Needed To View Homework)
  7. 1: Fundamentals of Statistics
  8. 1.1: What is Statistics?
  9. 1.2: Sampling Methods
  10. 1.3: Experimental Design
  11. 1.4: How Not to Do Statistics
  12. 1.5: Chapter 1 - Key Terms and Symbols
  13. 2: Frequency Distributions, and Graphs
  14. 2.1: Qualitative Data
  15. 2.2: Quantitative Data
  16. 2.3: Other Graphical Representations of Data
  17. 2.4: Chapter 2 Formulas
  18. 2.5: Chapter 2 - Key Terms and Symbols
  19. 3: Descriptive Statistics
  20. 3.1: Measures of Center
  21. 3.2: Measures of Variation Version 1
  22. 3.3: Measures of Variation Version 2
  23. 3.4: Measures of Position
  24. 3.5: Formulas for Chapter 3
  25. 3.6: Chapter 3 - Key Terms and Symbols
  26. 4: Probability and Combinatorics
  27. 4.1: Empirical Probability
  28. 4.2: Theoretical Probability
  29. 4.3: Addition Rules for Probabilities
  30. 4.4: Multiplication Rules and Conditional Probability
  31. 4.5: At Least One Rule and Tree Diagrams
  32. 4.6: Counting Rules
  33. 4.7: Chapter 4 Formulas
  34. 4.8: Chapter 4 - Key Terms and Symbols
  35. 5: Discrete Probability Distributions
  36. 5.1: Basics of Probability Distributions
  37. 5.2: Binomial Probability Distribution
  38. 5.3: Mean, Variance, and Standard Deviation of the Binomial Distribution
  39. 5.4: Poisson Distribution
  40. 5.5: Chapter 5 Formulas
  41. 5.6: Chapter 5 - Key Terms and Symbols
  42. 6: Continuous Probability Distribution
  43. 6.1: Introduction to the Normal Distribution
  44. 6.2: Finding Probabilities for the Normal Distribution
  45. 6.3: The Central Limit Theorem
  46. 6.4: Formulas for Chapter 6
  47. 6.5: Chapter 6 - Key Terms and Symbols
  48. 7: Confidence Interval for One Sample
  49. 7.1: Introduction to Confidence Intervals
  50. 7.2: Confidence Interval for the Mean Using z-values
  51. 7.3: Confidence Interval for the Mean Using t-values
  52. 7.4: Confidence Interval and Sample Size for the Proportion
  53. 7.5: Formulas for Chapter 7
  54. 7.6: Chapter 7 - Key Terms and Symbols
  55. 8: Hypothesis Testing for One Sample
  56. 8.1: Introduction to Hypothesis Testing
  57. 8.2: Type I and II Errors
  58. 8.3: z-Test for a Mean
  59. 8.4: t-Test for a Mean
  60. 8.5: z-Test for a Proportion
  61. 8.6: Formulas for Chapter 8
  62. 8.7: Chapter 8 Key Terms and Symbols
  63. 9: Hypothesis Testing for Two Samples
  64. 9.1: z-Test for the Difference Between Two Means
  65. 9.2: t-Test for the Difference Between Two Means
  66. 9.3: z-Test for the Difference Between Two Proportions
  67. 9.4: Confidence Intervals for the Difference Between Two Means and Proportions
  68. 9.5: Formulas for Chapter 9
  69. 9.6: Chapter 9 - Key Terms and Symbols
  70. 10: Correlation and Linear Regression
  71. 10.1: Bivariate Data and Scatter Plots
  72. 10.2: Correlation Coefficient
  73. 10.3: Hypothesis Test for Correlation Using r
  74. 10.4: Hypothesis Test for a Correlation Using t-Test
  75. 10.5: Linear Regression
  76. 10.6: Coefficient of Determination and the Standard Error of the Estimate
  77. 10.7: Formulas for Chapter 10
  78. 10.8: Chapter 10 - Key Terms and Symbols
  79. 11: Chi-Square Test
  80. 11.1: Goodness of Fit Test
  81. 11.2: Test for Independence
  82. 11.3: Chapter 11 Formulas
  83. 11.4: Chapter 11 - Key Terms and Symbols
  84. 12: Analysis of Variance (ANOVA)
  85. 12.1: Analysis of Variance (ANOVA)
  86. 12.2: Chapter 12 Formulas
  87. 12.3: Chapter 12 - Key Terms and Symbols
  88. 13: Statistical Tables
  89. 13.1: The Binomial Distribution Table for n = 2 to n = 10
  90. 13.2: The Binomial Distribution Table for n = 11 to n = 15
  91. 13.3: The Binomial Distribtution Table for n = 16 to n = 18
  92. 13.4: The Binomial Distribution Table for n = 19 to n = 20
  93. 13.5: The Standard Normal Distriubtion Table for Negative Z-Values
  94. 13.6: The Standard Normal Distribution Table for Positive Z-Values
  95. 13.7: The t-Distribution Table for Degrees of Freedom = n - 1
  96. 13.8: The Critical Values for the Pearson Correlation Matrix for Degrees of Freedom = n -2
  97. 13.9: The Chi-Square Distribution for Degrees of Freedom = n - 1
  98. 13.10: The F-Distribution for Alpha = 0.005
  99. 13.11: The F-Distribution Table for Alpha = 0.01
  100. 13.12: The F-Distribution Table for Alpha = 0.025
  101. 13.13: The F-Distribution Table for Alpha = 0.05
  102. 13.14: The F-Distribution Table for Alpha = 0.10
  103. Back Matter
  104. Index
  105. Glossary
  106. Detailed Licensing
  107. Detailed Licensing