# Stat 300 Lecture Videos

This is a collection of lecture videos for a Community College level Statistics class. Corrections with time stamps are provided whenever appropriate.

### 0.0 Set Theory

0.0-sets.mp4 - An intro lecture, not based on the text, dealing with basic concepts in Set Theory useful for studying Statistics and Probability.

00:13:59 -1/2 is not shaded

0.1-intervals.mp4 - A short example with intervals of reals.

### 3.1, 3.4 Probability Axioms

3.1-probability-axioms.mp4 - Proability experiments, sample spaces, basic outcomes, events, probability axioms, an probability models.

00:27:25 Periods are 2, 4, and 8 respectively, not 1, 2, and 4.

00:58:48 "...we can add these three numbers...", not "four numbers".

3.1-addition-complement.mp4 - General addition rule and the rule of complements.

### 3.2, 3.3 More Probability Laws

3.2-independence-conditionals.mp4 - Independent events and conditional propbability.

3.3-multiplication-rule.mp4 - General multiplication rule.

### Counting

3.x-counting.mp4 - Counting techniques.

3.x-counting-examples.mp4 - Counting examples.

### 1.1, 1.2 Language of Statistics

1.1-nomenclature.mp4 - Terminology and types of data.

### 1.2 Sampling

1.2-simple-sampling.mp4 - Simple random sampling, sampling frames, systematic sampling.

1.2-advanced-sampling.mp4 - stratified sampling, cluster sampling.

### 1.4 Experimental Design and Ethics

1.4-design-and-ethics.mp4 - Dependent and independent variables, types of study, common pitfalls.

### 2.1, 2.2 Basic Displays

2.1-barplot.mp4 - Frequency distributions, bar plots.

2.2-hist-stem.mp4 - Histograms and stem-and-leaf plots.

### 1.3-ish Ogive

1.3-ish-ogive.mp4 - Cumulative frequency and ogives.

### 2.5, 2.7 Measures of Center and Spread

2.5-2.7-center-spread.mp4 - Measures of center (mean, median) and measures of spread (range, standard deviation).

### 2.3 Measures of Position

2.3-position.mp4 - Measures of position: z-score, quantiles, IQR.

### 2.4 Box Plot

2.4-box-plot.mp4 - Box-and-whiskers plot.

### 4.1, 4.2 Discrete Random Variables

4.1-4.2-discrete-rv.mp4 - Discrete random variables, probability mass functions, mean and standard deviation.

4.3-binomial.mp4

### 5.1, 5.2, 6.1, 6.2 Continous Distributions

5.1-6.2-continuous-rv.mp4 - Continuous random variable, uniform distribution, normal distribution.

5.1-6.2-normal-app.mp4 - Computing normal probabilities and quantiles.

### 7.1, 7.3 Central Limit Theorem

7.1-7.3-clt.mp4 - CLT with applications.

7.3-normal-binom.mp4 - Normal approximation to the Binomial with continuity correction.

### 8.3, 8.2 Confidence Interval Estimates

8.3-proportion-estimates.mp4 - Confidence interval estimate for population proportion using the normal approximation.

8.2-mean-estimates.mp4 - Confidence interval estimate for population mean using the t distribution.

### 11.1 Chi-squared Distribution and Standard Deviation Estimates

11.1-ci-for-stdev.mp4 - Confidence interval estimate for population standard deviation using the chi-squared distribution.

### 9.1 - 9.5 Hypothesis Testing

9.1-9.5-hypothesis-testing.mp4 - Basic ideas behind the frequentist hypothesis testing procedure.

9.1-9.5-testing-examples.mp4 - Examples of hypothesis testing for the mean and the proportion.

9.1-9.5-discussion-and-examples.mp4 - Discussion of testing and more examples.

9.1-9.5-variance-p-value.mp4 - Test for the variance, p-value practice.

### 10.1 - 10.4 Comparing Population Parameters

10.1-10.4-two-sample-testing.mp4 - Testing procedures for comparing population proportion and population means using two independent samples.

### 12.1 - 12.3 Linear Correlation

12.1-12.3-correlation.mp4 - Scatter plots, linear correlation coefficient, and the line of best fit.

### 12.4 - 12.5 Correlation Test

12.4-12.5-correlation-test.mp4 - t-test for linear correlation.

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