The owner of a five deli shop has recently hired a new manager for one of her shops who claims to have reduced customer waiting time at his location. If true, the owner would like to have the same changes applied in the other four locations. The owner has asked for data which supports the claim of lower waiting time. The manager has some past data on customer waiting time during peak demand hours. He plans to collect the new data using the same characteristics by which the old data was gathered (e.g. Day of the week and time of the day, etc.). What kind of a test will he do if he wants to compare the new wait time with the old data in this way?

If he takes same number of observations, he can do a paired t-test.

This is a paired t-test, because we are checking before and after.

This will be t-test with unequal variances because now he has a new manager

This is a test about sample proportions.