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Statistics - 7.1 The Central Limit Theorem
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Applied Statistics
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- 1 Statistics - 1.1 Intro to Statistics
- 2 Statistics - 1.2 Classifying Data
- 3 Statistics - 1.3.1 Introduction to Statistical Studies
- 4 Statistics - 1.3.2 Observational Studies
- 5 Statistics - 1.3.3 Experiments
- 6 Statistics - 1.4 Critiquing a Published Study
- 7 Statistics - 2.1 Frequency Distributions
- 8 Statistics - 2.2.1 Displaying Qualitative Data
- 9 Statistics - 2.2.2 Displaying Quantitative Data
- 10 Statistics - 2.3 Analyzing Graphs
- 11 Statistics - 3.1 Measures of Center
- 12 Statistics - 3.2.1 Measures of Spread
- 13 Statistics - 3.2.2 Empirical Rule and Chebyshev's Theorem
- 14 Statistics - 3.3.1 Measures of Relative Position
- 15 Statistics - 3.3.2 Box Plots and the 5-Number Summary
- 16 Statistics - 3.3.3 Intro to Z-Scores
- 17 Statistics - 4.1 Intro to Probability
- 18 Statistics - 4.2 Addition Rule for Probability
- 19 Statistics - 4.3 Multiplication Rule for Probability
- 20 Statistics - 4.4 Permutations and Combinations
- 21 Statistics - 4.5 Probability and Counting Practice
- 22 Statistics - 5.1.1 Expected Value of Discrete Probability Distributions
- 23 Statistics - 5.1.2 Variance and SD of Discrete Probability Distributions
- 24 Statistics - 5.2 The Binomial Distribution
- 25 Statistics - 5.3 The Poisson Distribution
- 26 Statistics - 5.4.1 The Hypergeometric Distribution
- 27 Statistics - 5.4.2 Binomial, Poisson or Hypergeometric?
- 28 Statistics - 6.1 The Normal Distribution and Z-Scores
- 29 Statistics - 6.2 Area Under a Normal Distribution
- 30 Statistics - 6.3 Probabilities in a Normal Distribution
- 31 Statistics - 6.4 Z-Scores in Reverse
- 32 Statistics - 6.5 Approximating a Binomial Distribution With a Normal Distribution
- 33 Statistics - 7.1 The Central Limit Theorem
- 34 Statistics - 7.2 The Central Limit Theorem with Means
- 35 Statistics - 7.3 The Central Limit Theorem with Proportions
- 36 Statistics - 8.1.1 An Introduction to Confidence Intervals
- 37 Statistics - 8.1.2 Estimating Population Means (𝜎 known)
- 38 Statistics - 8.1.3 Calculations With Estimating Population Means - 𝜎 known
- 39 Statistics - 8.2 Student's t-Distribution
- 40 Statistics - 8.3 Estimating Population Means (𝜎 Unknown)
- 41 Statistics - 8.4.1 Estimating Population Proportions
- 42 Statistics - 8.4.2 Calculations With Estimating Population Proportions
- 43 Statistics - 9.1 Comparing Two Population Means (𝜎 Known)
- 44 Statistics - 9.2.1 Comparing Two Population Means (𝜎 Unknown, Unequal Variances)
- 45 Statistics - 9.2.2 Comparing Two Population Means (𝜎 Unknown, Equal Variances)
- 46 Statistics - 9.3 Comparing Two Population Means (𝜎 Unknown, Dependent/Paired)
- 47 Statistics - 9.4 Comparing Two Population Proportions
- 48 Statistics - 10.1.1 Introduction to Hypothesis Testing
- 49 Statistics - 10.1.2 Writing Hypotheses
- 50 Statistics - 10.1.3 Interpreting Conclusions to Hypothesis Tests
- 51 Statistics - 10.1.4 Errors in Hypothesis Testing
- 52 Statistics - 10.2.1 Hypothesis Testing for Population Means (σ known) - Right-Tailed
- 53 Statistics - 10.2.2 Hypothesis Testing for Population Means (σ known) - Left-Tailed
- 54 Statistics - 10.2.3 Hypothesis Testing for Population Means (σ known) - 2-Tailed
- 55 Statistics - 10.3.1 Hypothesis Testing for Population Means (σ unknown) - 1-Tailed
- 56 Statistics - 10.3.2 Hypothesis Testing for Population Means (σ unknown) - 2-Tailed
- 57 Statistics - 10.4.1 Hypothesis Testing for Population Proportions - 1-Tailed
- 58 Statistics - 10.4.2 Hypothesis Testing for Population Proportions - 2-Tailed
- 59 Statistics - 11.1.1 Hypothesis Testing for 2 Sample Means (σ known) - 1-Tailed
- 60 Statistics - 11.1.2 Hypothesis Testing for 2 Sample Means (σ known) - 2-Tailed
- 61 Statistics - 11.2.1 Hypothesis Testing for 2 Sample Means (σ unknown) - Unequal Variances
- 62 Statistics - 11.2.2 Hypothesis Testing for 2 Sample Means (σ unknown) - Equal Variances
- 63 Statistics - 11.3 Hypothesis Testing for 2 Sample Means - Paired
- 64 Statistics - 11.4 Hypothesis Testing for 2 Sample Proportions
- 65 Statistics - 12.1.1 Scatter Plots and Correlation
- 66 Statistics - 12.1.2 Determining Statistical Significance for the Pearson Correlation Coefficient
- 67 Statistics - 12.2.1 The Least Squares Regression Line (LSRL)
- 68 Statistics - 12.2.2 Predicting With and Interpreting Values of the LSRL
- 69 Statistics - 12.2.3 Creating and Analyzing a Linear Regression Model
- 70 Statistics - 12.3.1 Prediction Intervals for Linear Regression
- 71 Statistics - 12.3.2 Confidence Intervals for 𝛽0 and 𝛽1
- 72 Statistics - 12.4 Multiple Regression