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A project manager is interested in whether or not new software will reduce his employee's 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. (b) Run the test in SAS and give the relevant values from SAS output here. What is your conclusion at α = 0.10? What is your conclusion at α = 0.05? What is your conclusion at α = 0.01?
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