The Plan-Do-Study-Act Cycle (PDSA)

Correct Answer: Compare the current payment processing times with the previous process, identify the gaps, adjust as necessary and start another PDSA Cycle.

The answer 'Compare the current payment processing times with the previous process, identify the gaps, adjust as necessary and start another PDSA Cycle.' is the most appropriate solution based on the PDSA Cycle. This process involves four steps: Plan - where an idea or a solution is devised; Do - implementing the solution; Study - monitoring the implementation and comparing the results with the expected outcome; Act - modifying the solution based on what was learned during the 'study' phase. Therefore, understanding the difference in processing times, identifying the problems, and adjusting the gaps is the most efficient way to handle the problem. The other answers, however, don't follow the PDSA Cycle approach effectively: 'Immediately revert to the old payment gateway.' does not attempt to learn from or fix the issue; 'Avoid addressing customer complaints since this is a new feature.' is improper as it ignores customer feedback, and 'Ignore the 'Study' step and skip to the 'Act' phase.' disregards an essential part of the PDSA Cycle.

Correct Answer: Organize a meeting with the team to discuss observations, then modify and re-deploy the feature for further feedback.

The best approach based on the PDSA (Plan-Do-Study-Act) Cycle in Agile methodologies, is to 'organize a meeting with the team to discuss observations, then modify and re-deploy the feature for further feedback.' This falls right into the cycle which encourages continuous learning and improvement. Planning includes identifying a change or a new feature, Doing involves implementing and testing this change, Studying means gathering feedback and understanding whether the change brought about improvement, and Acting stands for implementing full scale based on what was learned or adapting the change for further testing if improvement was not evident. The other options: 'Ignore the feedback, continue to deploy features.' is against Agile principles which emphasize on customer collaboration and embracing change. 'Immediately remove the feature.' could be a premature decision without proper analysis and understanding of the issue at hand. 'Suggest the team to start a completely new project.' is also rash and not in line with Agile thinking of iterative development and regular refinement based on feedback.

Correct Answer: Plan a new testing strategy

In the PDSA Cycle (Plan - Do - Study - Act), once an issue has been identified, the next immediate action should be to 'Plan' a new strategy to address the issue. In this case, that would involve planning a new testing strategy to cover all scenarios, as the current tests do not. 'Outsource the testing functions' does not necessarily solve the issue, as there is no guarantee of better test coverage. 'Upgrade the finance team's software skills' does not address the core issue of insufficient test coverage. Finally, 'Perform a system rollback' might fix the immediate problem, but it does not prevent future issues of the same kind from happening. Therefore, the most appropriate next action in the PDSA Cycle would be to 'Plan a new testing strategy'.