Question

Fedor is choosing between restaurants A and B to take his friend, Jaspreet, out for dinner. Restaurant A has an average rating of 4.1 and restaurant B of 4.3.

Each restaurant has two waiters, a good waiter and a bad waiter. Customers can't choose the waiter they get. Ratings among customers getting a good waiter are 4.6 at restaurant A and 4.4 at restaurant B. Ratings among customers getting a bad waiter are 4.0 at restaurant A and 3.8 at restaurant B. So, overall, customers prefer restaurant B but among those getting a bad waiter, they prefer restaurant A and among those getting a good waiter they also prefer restaurant A!

In other words, the bad waiter at restaurant A is better than the bad waiter at restaurant B and the good waiter at restaurant A is better than the good waiter at restaurant B.

Suppose that your chances of getting each type of waiter at either restaurant are similar to the proportions in the ratings.

1. Assuming that there are no other significant factors related to restaurant ratings, what kind of variable is the quality of the waiter in this context?
2. Which restaurant should Fedor choose? Why?

Answer 1

Ans: Here the quality of waiter is a dependent variable. As the response of a customer depends on the ratings of the waiter. Again the waiter has different independent variables like the service they provide, time spans, responses.

Fedos has to choose restaurant A as the ratings of the restaurant are at 4.1 and the chances of getting a bad waiter are 4.0. And at the same time, the bad waiter at restaurant A is better than the bad waiter at restaurant B and the good waiter at restaurant A is better than the good waiter at restaurant B.