17. In order to survive in today's market place, cost control is extremely
important. A beverage manufacturer wishes to see if a new formulation of
a popular cola using a lower cost sweetener is comparable in taste to the
old formulation. It conducts taste tests to see if consumers find the new
formulation less tasty than the old formulation. It is presumed that
consumers will not be able to distinguish between the two colas. In the
first round of taste tests, 30 people are given both colas in random order.
What is the mean and standard deviation of the number of people
in this group of 30 who will prefer the new cola?