Two Supermarket Owners Each Claim That More Customers Enter Their $\mu_{1}-\mu_{2}=5$

Essay

Two supermarket owners each claim that more customers enter their store than enter the other's store. A survey was taken and it was found that in 60 days an average of 810 people per day entered the first store with a standard deviation of 40 people. A corresponding survey found that in 80 days an average of 800 people per day entered the second store with a standard deviation of 30 people.
-For the above situation, test the hypothesis that $\mu_{1}-\mu_{2}=5$ against a two-tailed alternative.