A government agency located in Mississauga city, has decided to improve the customer service process. The board of directors decides to first study the waiting time, e.g., the number of minutes that elapses from when the customer enters the line until he or she reaches the teller window. Below are data collected from a random sample of 15 customers for Branch 1:

4.21 5.55 3.02 5.13 4.77 2.34 3.54 3.20

4.50 6.10 0.38 5.12 6.46 6.19 3.79

Suppose that another branch, located in a residential area, is also concerned of improving the customer service process. Data from Branch 2 are collected from a random sample of 15 customers as below:

9.66 5.90 8.02 5.79 8.73 3.82 8.01 8.35

10.49 6.68 5.64 4.08 6.17 9.91 5.47

Determine:

• Whether the population mean of Branch 1 is less than Branch 2's population mean.
• Is there evidence of a difference between the means waiting time of the two populations at the two branches?
• Whether the population variances from both branches are equal

Assumptions: samples are from populations normally distributed and the samples are independent.

Use and present answer with 4 decimals. Answer thoroughly and explain all the steps.