Chapter 17

Testing a Two-sided Hypothesis Using a Confidence Interval (Lecture Notes for Lecture 16)

1. State the procedure for testing a null hypothesis \(\mu_{X} = \mu_{0}\) at significance level \(\alpha\) using a confidence interval.
2. State the rationale for why we can test a null hypothesis \(\mu_{X} = \mu_{0}\) at significance level \(\alpha\) using a confidence interval with confidence level \(c = 1 - \alpha\).
3. Perform a hypothesis test for the null hypothesis \(\mu_{X} = \mu_{0}\) given all of the relevant information.

One-sample \(t\)-tests in R (Lecture Notes for Lecture 16)

1. Perform a one-sample \(t\)-test from a variable in a data frame using t.test from mosaic.
2. Perform a one-sample \(t\)-test from summary statistics using one.sample.t.test from MUsaic.
3. Construct a confidence level \(c\) confidence interval from a variable in a data frame using t.test from mosaic.
4. Construct a confidence level \(c\) confidence interval from summary statistics using one.sample.t.test from MUsaic.