In situations where the cost of sampling is high, sequential procedures may be used to reduce this cost. However, many of these procedures have a number of undesirable drawbacks, such as the possibility that an extremely large sample size may be needed before a decision is reached.This paper illustrates the use of a sequential t-test which is truncated and has other desirable features. Several examples, along with tables of the critical values and comparisons with other types of t-tests are provided.