Table of contents

1. Intro to Stats and Collecting Data1h 14m

Intro to Stats
24m

Levels of Measurement
18m

Intro to Collecting Data
8m

Sampling Methods
23m

2. Describing Data with Tables and Graphs1h 55m

Visualizing Qualitative vs. Quantitative Data
4m

Frequency Distributions
35m

Histograms
14m

Bar Graphs and Pareto Charts
11m

Pie Charts
8m

Frequency Polygons
10m

Dot Plots
6m

Stemplots (Stem-and-Leaf Plots)
13m

Time-Series Graph
9m

3. Describing Data Numerically2h 5m

Mean
9m

Median
17m

Mode
7m

Standard Deviation
16m

Interpreting Standard Deviation
20m

Percentiles & Quartiles
14m

Describing Data Numerically Using a Graphing Calculator
10m

Boxplots
8m

Descriptive Statistics-Excel
11m

Boxplots-Excel
8m

4. Probability2h 16m

Basic Concepts of Probability
7m

Complements
6m

Addition Rule
17m

Multiplication Rule: Independent Events
11m

Introduction to Contingency Tables
17m

Multiplication Rule: Dependent Events
15m

Bayes' Theorem
13m

Fundamental Counting Principle
8m

Counting
37m

5. Binomial Distribution & Discrete Random Variables3h 6m

Discrete Random Variables
31m

Binomial Distribution
1h 7m

Finding Binomial Probabilities-Excel
17m

Poisson Distribution
40m

Finding Poisson Probabilities-Excel
15m

Hypergeometric Distribution
14m

6. Normal Distribution and Continuous Random Variables2h 11m

Uniform Distribution
18m

Standard Normal Distribution
39m

Probabilities & Z-Scores w/ Graphing Calculator
19m

Non-Standard Normal Distribution
21m

Finding Probabilities, Z Values, and X Values with the Normal Distribution-Excel
32m

7. Sampling Distributions & Confidence Intervals: Mean3h 23m

Sampling Distribution of the Sample Mean and Central Limit Theorem
19m

Distribution of Sample Mean - Excel
23m

Introduction to Confidence Intervals
15m

Confidence Intervals for Population Mean
1h 18m

Determining the Minimum Sample Size Required
12m

Finding Probabilities and T Critical Values - Excel
28m

Confidence Intervals for Population Means - Excel
25m

8. Sampling Distributions & Confidence Intervals: Proportion2h 10m

Sampling Distribution of Sample Proportion
29m

Confidence Intervals for Population Proportion
42m

Confidence Intervals for Population Proportion - Excel
12m

Chi Square Distribution
20m

Confidence Intervals for Population Variance
24m

9. Hypothesis Testing for One Sample5h 9m

Steps in Hypothesis Testing
1h 6m

Performing Hypothesis Tests: Means
1h 4m

Hypothesis Testing: Means - Excel
42m

Performing Hypothesis Tests: Proportions
37m

Hypothesis Testing: Proportions - Excel
27m

Performing Hypothesis Tests: Variance
12m

Critical Values and Rejection Regions
28m

Link Between Confidence Intervals and Hypothesis Testing
12m

Type I & Type II Errors
17m

10. Hypothesis Testing for Two Samples5h 37m

Two Proportions
1h 13m

Two Proportions Hypothesis Test - Excel
28m

Two Means - Unknown, Unequal Variance
1h 3m

Two Means - Unknown Variances Hypothesis Test - Excel
12m

Two Means - Unknown, Equal Variance
15m

Two Means - Unknown, Equal Variances Hypothesis Test - Excel
9m

Two Means - Known Variance
12m

Two Means - Sigma Known Hypothesis Test - Excel
21m

Two Means - Matched Pairs (Dependent Samples)
42m

Matched Pairs Hypothesis Test - Excel
12m

Two Variances and F Distribution
29m

Two Variances - Graphing Calculator
16m

11. Correlation1h 24m

Scatterplots & Intro to Correlation
26m

Correlation Coefficient
21m

Creating Scatterplots and FInding Correlation Coefficient - Excel
6m

Hypothesis Tests for Correlation Coefficient Using TI-84
17m

Inferences for the Correlation Coefficient - Excel
11m

12. Regression3h 33m

Linear Regression & Least Squares Method
26m

Residuals
12m

Coefficient of Determination
12m

Regression Line Equation and Coefficient of Determination - Excel
8m

Finding Residuals and Creating Residual Plots - Excel
11m

Inferences for Slope
31m

Enabling Data Analysis Toolpak
1m

Regression Readout of the Data Analysis Toolpak - Excel
21m

Prediction Intervals
13m

Prediction Intervals - Excel
19m

Multiple Regression - Excel
29m

Quadratic Regression
15m

Quadratic Regression - Excel
10m

13. Chi-Square Tests & Goodness of Fit2h 21m

Goodness of Fit Test
41m

Goodness of FIt Test Using TI-84
17m

Goodness of Fit Test - Excel
10m

Contingency Tables
12m

Independence Tests
14m

Homogeneity Tests
11m

Using Matrices on a TI-84
6m

Independence Test Using TI-84
12m

Independence Tests - Excel
13m

14. ANOVA2h 28m

Introduction to ANOVA
30m

One-Way ANOVA - Excel
12m

Multiple Comparisons: Tukey Test
14m

Multiple Comparisons: Tukey-Kramer Test
15m

Multiple Comparisons: Bonferoni Test
24m

Two-Way ANOVA
32m

Two-Way ANOVA - Excel
18m

4. Probability

Basic Concepts of Probability

Statistics

4. Probability

Basic Concepts of Probability

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Multiple Choice

In basic probability, what is the probability of an event that is certain to occur?

0

It cannot be determined without more information.

1

\frac{1}{2}

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Verified step by step guidance

Understand the concept of probability: Probability measures how likely an event is to occur, and it ranges from 0 to 1, where 0 means the event cannot happen and 1 means the event is certain to happen.

Identify the event described: The problem asks for the probability of an event that is certain to occur, meaning it will happen every time without fail.

Recall the probability rule for a certain event: By definition, the probability of a certain event is always 1, because it is guaranteed to happen.

Express this mathematically: The probability of a certain event E is given by \(P(E) = 1\).

Conclude that no additional information is needed to determine this probability since certainty directly implies a probability of 1.