Consider the confidence interval proceduresin Sections 7.1 and 7.2 of your textbook. Both of these procedures are for constructing a confidence interval for a population mean . The procedure in Section 7.1 uses the normal distribution, while the procedure in Section 7.2 uses the t distribution. Similarly, in Sections 8.2 and 8.3, which focus on hypothesis testing for a population mean, the difference in these procedures pertain to whether to use the normal distribution or the t distribution. Answer the following questions.

When constructing a confidence interval for and/or a hypothesis test, how do you decide whether to use thetdistribution or the normal distribution? Are there any circumstances when it is acceptable to use either distribution?