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Lec 25 - Central Limit Theorem

Central Limit Theorem Introduction to the central limit theorem and the sampling distribution of the mean

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Channels: Mathematics

Tags: Central Limit Theorem

Uploaded by: ( Send Message ) on 10-09-2012.

Duration: 9m 49s

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Lecture list for this course

Lec 1 - Statistics: The Average

Lec 2 - Statistics: Sample vs. Population Mean

Lec 3 - Statistics: Variance of a Population

Lec 4 - Statistics: Sample Variance

Lec 5 - Statistics: Standard Deviation

Lec 6 - Statistics: Alternate Variance Formulas

Lec 7 - Introduction to Random Variables

Lec 8 - Probability Density Functions

Lec 9 - Binomial Distribution 1

Lec 10 - Binomial Distribution 2

Lec 11 - Binomial Distribution 3

Lec 12 - Binomial Distribution 4

Lec 13 - Expected Value: E(X)

Lec 114 - Expected Value of Binomial Distribution

Lec 15 - Poisson Process 1

Lec 16 - Poisson Process 2

Lec 17 - Law of Large Numbers

Lec 18 - Normal Distribution Excel Exercise

Lec 19 - Introduction to the Normal Distribution

Lec 20 - ck12.org Normal Distribution Problems: Qualitative sense of normal distributions

Lec 21 - ck12.org Normal Distribution Problems: z-score

Lec 22 - ck12.org Normal Distribution Problems: Empirical Rule

Lec 23 - ck12.org Exercise: Standard Normal Distribution and the Empirical Rule

LKec 24 - ck12.org: More Empirical Rule and Z-score practice

Lec 26 - Sampling Distribution of the Sample Mean

Lec 27 - Sampling Distribution of the Sample Mean 2

Lec 28 - Standard Error of the Mean

Lec 29 - Sampling Distribution Example Problem

Lec 30 - Confidence Interval 1

Lec 31 - Mean and Variance of Bernoulli Distribution Example

Lec 32 - Bernoulli Distribution Mean and Variance Formulas

Lec 33 - Margin of Error 1

Lec 34 - Margin of Error 2

Lec 35 - Confidence Interval Example

Lec 36 - Small Sample Size Confidence Intervals

Lec 37 - Hypothesis Testing and P-values

Lec 38 - One-Tailed and Two-Tailed Tests

Lec 39 - Z-statistics vs. T-statistics

Lec 40 - Type 1 Errors

Lec 41 - Small Sample Hypothesis Test

Lec 42 - T-Statistic Confidence Interval

Lec 43 - Large Sample Proportion Hypothesis Testing

Lec 44 - Variance of Differences of Random Variables

Lec 45 - Difference of Sample Means Distribution

Lec 46 - Confidence Interval of Difference of Means

Lec 47 - Clarification of Confidence Interval of Difference of Means

Lec 48 - Hypothesis Test for Difference of Means

Lec 49 - Comparing Population Proportions 1

Lec 50 - Comparing Population Proportions 2

Lec 51 - Hypothesis Test Comparing Population Proportions

Lec 52 - Squared Error of Regression Line

Lec 53 - Proof (Part 1) Minimizing Squared Error to Regression Line

Lec 54 - Proof (Part 3) Minimizing Squared Error to Regression Line

Lec 55 - Proof (Part 4) Minimizing Squared Error to Regression Line

Lec 56 - Regression Line Example

Lec 57 - Proof Part 2 Minimizing Squared Error to Line

Lec 58 - R-Squared or Coefficient of Determination

Lec 59 - Second Regression Example

Lec 60 - Calculating R-Squared

Lec 61 - Covariance and the Regression Line

Lec 62 - Chi-Square Distribution Introduction

Lec 63 - Pearson's Chi Square Test (Goodness of Fit)

Lec 64 -Contingency Table Chi-Square Test

Lec 65 -ANOVA 1 - Calculating SST (Total Sum of Squares)

Lec 66 -ANOVA 2 - Calculating SSW and SSB (Total Sum of Squares Within and Between).avi

Lec 67 - ANOVA 3 -Hypothesis Test with F-Statistic

Lec 68 - Correlation and Causality