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Statistics C1000: Introduction to Statistics

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Statistics C1000: Introduction to Statistics

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.

Statistics
Author
Toros Berberyan, Tracy Nguyen, and Alfie Swan
Publisher
Citrus College
Source
LibreTexts
License
CC BY-SA
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 96 sections
  1. 01: Fundamentals of Statistics
  2. 1.01: What is Statistics
  3. 1.02: Sampling Methods
  4. 1.03: Experimental Design
  5. 1.04: How Not to Do Statistics
  6. 1.05: Chapter 1 - Key Terms and Symbols
  7. 02: Frequency Distributions and Graphs
  8. 2.01: Qualitative Data
  9. 2.02: Quantitative Data
  10. 2.03: Other Graphical Representations of Data
  11. 2.04: Chapter 2 Formulas
  12. 2.05: Chapter 2 - Key Terms and Symbols
  13. 03: Descriptive Statistics
  14. 3.01: Measures of Center
  15. 3.02: Measures of Variation Version 1
  16. 3.03: Measures of Variation Version 2
  17. 3.04: Measures of Position
  18. 3.05: Formulas for Chapter 3
  19. 3.06: Chapter 3 - Key Terms and Symbols
  20. 04: Probability and Combinatorics
  21. 4.01: Empirical Probability
  22. 4.02: Theoretical Probability
  23. 4.03: Addition Rules for Probabilities
  24. 4.04: Multiplication Rules and Conditional Probability
  25. 4.05: At Least One Rule and Tree Diagrams
  26. 4.06: Counting Rules
  27. 4.07: Chapter 4 Formulas
  28. 4.08: Chapter 4 - Key Terms and Symbols
  29. 05: Discrete Probability Distributions
  30. 5.01: Basics of Probability Distributions
  31. 5.02: Binomial Probability Distribution
  32. 5.03: Mean Variance and Standard Deviation of the Binomial Distribution
  33. 5.04: Poisson Distribution
  34. 5.05: Chapter 5 Formulas
  35. 5.06: Chapter 5 - Key Terms and Symbols
  36. 06: Continuous Probability Distribution
  37. 6.01: Introduction to the Normal Distribution
  38. 6.02: Finding Probabilities for the Normal Distribution
  39. 6.03: The Central Limit Theorem
  40. 6.04: Formulas for Chapter 6
  41. 6.05: Chapter 6 - Key Terms and Symbols
  42. 07: Confidence Interval for One Sample
  43. 7.01: Introduction to Confidence Intervals
  44. 7.02: Confidence Interval for the Mean Using z-values
  45. 7.03: Confidence Interval for the Mean Using t-values
  46. 7.04: Confidence Interval and Sample Size for the Proportion
  47. 7.05: Formulas for Chapter 7
  48. 7.06: Chapter 7 - Key Terms and Symbols
  49. 08: Hypothesis Testing for One Sample
  50. 8.01: Introduction to Hypothesis Testing
  51. 8.02: Type I and II Errors
  52. 8.03: z-Test for a Mean
  53. 8.04: t-Test for a Mean
  54. 8.05: z-Test for a Proportion
  55. 8.06: Formulas for Chapter 8
  56. 8.07: Chapter 8 Key Terms and Symbols
  57. 09: Hypothesis Testing for Two Samples
  58. 9.01: z-Test for the Difference Between Two Means
  59. 9.02: t-Test for the Difference Between Two Means
  60. 9.03: z-Test for the Difference Between Two Proportions
  61. 9.04: Confidence Intervals for the Difference Between Two Means and Proportions
  62. 9.05: Formulas for Chapter 9
  63. 9.06: Chapter 9 - Key Terms and Symbols
  64. 10: Correlation and Linear Regression
  65. 10.01: Bivariate Data and Scatter Plots
  66. 10.02: Correlation Coefficient
  67. 10.03: Hypothesis Test for Correlation Using r
  68. 10.04: Hypothesis Test for a Correlation Using t-Test
  69. 10.05: Linear Regression
  70. 10.06: Coefficient of Determination and the Standard Error of the Estimate
  71. 10.07: Formulas for Chapter 10
  72. 10.08: Chapter 10 - Key Terms and Symbols
  73. 11: Chi-Square Test
  74. 11.01: Goodness of Fit Test
  75. 11.02: Test for Independence
  76. 11.03: Chapter 11 Formulas
  77. 11.04: Chapter 11 - Key Terms and Symbols
  78. 12: Analysis of Variance (ANOVA)
  79. 12.01: Analysis of Variance (ANOVA)
  80. 12.02: Chapter 12 Formulas
  81. 12.03: Chapter 12 - Key Terms and Symbols
  82. 13: Statistical Tables
  83. 13.01: The Binomial Distribution Table for n 2 to n 10
  84. 13.02: The Binomial Distribution Table for n 11 to n 15
  85. 13.03: The Binomial Distribtution Table for n 16 to n 18
  86. 13.04: The Binomial Distribution Table for n 19 to n 20
  87. 13.05: The Standard Normal Distriubtion Table for Negative Z-Values
  88. 13.06: The Standard Normal Distribution Table for Positive Z-Values
  89. 13.07: The t-Distribution Table for Degrees of Freedom n - 1
  90. 13.08: The Critical Values for the Pearson Correlation Matrix for Degrees of Freedom n -2
  91. 13.09: The Chi-Square Distribution for Degrees of Freedom n - 1
  92. 13.10: The F-Distribution for Alpha 0.005
  93. 13.11: The F-Distribution Table for Alpha 0.01
  94. 13.12: The F-Distribution Table for Alpha 0.025
  95. 13.13: The F-Distribution Table for Alpha 0.05
  96. 13.14: The F-Distribution Table for Alpha 0.10