Lesson 11: Inference for One Mean (Sigma Unknown)

Conduct a Hypothesis Testing for a single mean \(\mu\) with \(\sigma\) unknown:

• State the null and alternative hypothesis.
• Show the appropriate numerical and graphical summaries that support the hypothesis test.
• Check the requirements for the hypothesis test.
• Calculate the test-statistic, degrees of freedom, and \(p\)-value of the hypothesis test.
• Assess the statistical significance by comparing the \(p\)-value to the significance level, \(\alpha\).
• Draw a correct conclusion for the hypothesis test.

Calculate and interpret a Confidence Interval for a single mean \(\mu\) with \(\sigma\) unknown:

• Show the appropriate numerical and graphical summaries that support the confidence interval.
• Check the requirements of the confidence interval.
• Calculate the confidence interval for a given level of confidence.
• Identify the point estimate and margin of error for the confidence interval.
• Interpret the confidence interval for a given level of confidence.