Hypothesis testing for single mean.

The new director of special programs in XYZ Corporation felt the customers were waiting too long to receive and complete forms needed to enroll in special programs.  After collecting some data, Ms. Jones determined the mean wait time was 28 minutes.  She felt this time period was excessive and she instituted new procedures to streamline the process.  One month later, a sample of 127 customers was selected.  The mean wait time recorded was 26.9 minutes and the standard deviation of the sampling was 8 minutes.  Using.02 level of significance conducts a five-step hypothesis testing procedure to determine if the new processes significantly reduced the wait time.