STATS200

Inferential Statistics

Move beyond describing data — learn to draw conclusions about populations from samples using hypothesis tests, confidence intervals, and regression at GreatLakes Manufacturing.

📚 7 Chapters
~5.5 hours
📈 Intermediate

Chapters

Work through each chapter in order. Each one builds on the last.

1

Hypothesis Testing with Z-Tests

The logic of hypothesis testing, null and alternative hypotheses, Type I and II errors, and Z-tests for a population mean.

🕑 ~50 min read
Available Start Chapter →
2

Hypothesis Testing with T-Tests

One-sample t-tests when population standard deviation is unknown, Student’s t-distribution, and degrees of freedom.

🕑 ~50 min read
Available Start Chapter →
3

Two-Sample T-Tests

Independent and paired two-sample t-tests for comparing means across groups at GreatLakes Manufacturing.

🕑 ~45 min read
Available Start Chapter →
4

Confidence Intervals

Constructing and interpreting confidence intervals for means and proportions in manufacturing quality control.

🕑 ~45 min read
Available Start Chapter →
5

Correlation Analysis

Measuring and testing the strength of linear relationships between manufacturing variables.

🕑 ~40 min read
Available Start Chapter →
6

Simple Linear Regression

Fitting a line to data, interpreting slope and intercept, R-squared, and prediction at GreatLakes Manufacturing.

🕑 ~55 min read
Available Start Chapter →
7

Chi-Square Tests

Chi-square goodness-of-fit and tests of independence for categorical data in manufacturing quality.

🕑 ~50 min read
Available Start Chapter →

What You'll Learn

By the end of this course, you will be able to:

📈

Formulate and test hypotheses using Z-tests and t-tests, selecting the right test for each business scenario.

📏

Construct and interpret confidence intervals for population means and proportions with correct margin-of-error reasoning.

📊

Compare two groups using independent and paired t-tests and draw valid conclusions about manufacturing processes.

🔍

Measure correlation between variables, fit simple linear regression models, and interpret slope, intercept, and R-squared.

💰

Apply chi-square tests to categorical data to assess goodness-of-fit and independence in quality control contexts.

Prerequisites

What you need before starting this course.

📚

STATS100: Descriptive Statistics

This course assumes you are comfortable with means, standard deviations, and basic data visualization. Complete STATS100 first if you need a refresher on descriptive statistics fundamentals.

Related Games

Practice what you learn with these interactive stats games.

T or Z Showdown

Given a scenario, decide whether to use a Z-test or a t-test. Build decision-making speed.

Play Now →
🃏

P-Value Poker

Estimate p-values from test statistics and make reject/fail-to-reject decisions under pressure.

Play Now →
📏

CI Challenge

Build confidence intervals from sample data and see how often they capture the true parameter.

Play Now →
📈

Correlation Spotter

Look at scatter plots and estimate the correlation coefficient. Train your visual intuition for r.

Play Now →
🔍

Chi-Square Checker

Compute expected frequencies, chi-square statistics, and decide whether to reject independence.

Play Now →