One-Sample t-Test Example | Step-by-Step with Context & Interpretation

In this video, we walk through a complete example of a one-sample t-test — from setting up the hypotheses to calculating the test statistic, finding the p-value, and making a conclusion in context. You’ll learn how to: ✅ Write the null and alternative hypotheses clearly ✅ Check the conditions (randomness, independence, and normality) ✅ Calculate the test statistic (t) step-by-step ✅ Use technology (Stapplet / StatCrunch / Calculator) to find the p-value ✅ State your conclusion in context using the significance level (α) 📊 Example Scenario: A coffee shop claims their lattes have an average caffeine content of 160 mg. A random sample of 12 lattes has a mean of 150 mg and a standard deviation of 15 mg. Is there enough evidence to suggest the true mean caffeine content is less than 160 mg? We’ll test this claim at the 0.05 significance level and interpret the results using proper statistical language. 💡 Perfect for: Introductory Statistics students Hypothesis testing review AP Statistics or college-level t-test examples