An industrial engineer has designed a new work- station layout that she claims will increase production efficiency. For a sample of 8 workers using the new workstation layout, the average number of units pro- duced per hour is 36.4, with a standard deviation of 4.9. For a sample of 6 workers using the standard layout, the average number of units produced per hour is 30.2, with a standard deviation of 6.2. Assuming normal populations with equal standard deviations, use the 0.025 level of significance in testing the engineer's claim.