Assignment:
An industrial engineer has designed a new workstation layout that she claims will increase production efficiency. For a sample of 8 workers using the new workstation layout, the average number of units produced 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.
Provide complete and step by step solution for the question and show calculations and use formulas.