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.