One-Sample t-Test for μ: Hypothesis, P-value, Confidence Interval - Calorie Consumption

In this informative video, we explore how to conduct a one-sample t-test to evaluate a nutrition company's claim about their customers' daily calorie intake. Using a sample of 21 customers with a mean intake of 2,100 calories, we test the hypothesis that the true mean is 2,000 calories. We walk through the steps of formulating hypotheses, calculating the t-statistic, interpreting results, and constructing a 95% confidence interval.

00:00 - Introduction to t-tests
00:43 - Nutrition company calories scenario
01:19 - One Sample t-test assumptions
01:32 - Null & Alternative Hypotheses
02:06 - degrees of freedom (df)
02:26 - Critical Region approach
03:15 - Calculating the test statistic
03:42 - Making decision the null hypothesis
04:46 - P-value approach
06:08 - Confidence Interval Approach
08:56 - Conclusion