Answer to Question 1
A
Answer to Question 2
The t-distribution is used to obtain the critical value for a confidence interval estimate for the population mean when the value for the population standard deviation is unknown or the sample size is reasonably small. Technically, the t-distribution can be used when the standard deviation is not known, but since the t-distribution and the z-distribution converge for large samples, it generally does not matter in cases where the sample size is large. It should be noted that the t-distribution is based on the assumption that the population is normally distributed. However, the t-distribution is usable as long as the population is reasonably symmetric.