A project manager is interested in whether or not new software will reduce his employees project completion time on average. To evaluate the benefits of the new software, a random sample of 24 employees are chosen. Out of the 24 employees, 12 are randomly chosen to use the current software and the remaining 12 use the new software. Project completion times are as follows:

Current Technology	New Software
300	274
280	220
344	308
385	336
372	198
360	300
288	315
321	258
376	318
290	310
301	332
283	263

(a) Notice that the mean completion time using current technology is 325 hours and for the new software it is 286 hours. From this information, should we conclude the new software reduces project completion times on average? Why or why not?

(b) Write out the hypothesis test being conducted by the manager.

(c) Run the test in SAS and give the relevant values from SAS output here. What is your conclusion at

= 0.10? What is your conclusion at = 0.05? What is your conclusion at = 0.01?