Question

i am investigating the preferences of ice cream flavor in our class. i hypothesize that students will prefer the following flavors with the following proportions: vanilla (0.85), chocolate (0.20), strawberry (0.05). i want to test this with a class size of 72 students. this would be an example of when i should run a:

Answer 1

The only option left is C. 6 people ranked vanilla first.

So the answer is 6

3/5 of the people ranked vanilla last. So 3/5 * 60 = 36 people ranked vanilla last.

Also 1/10 of the people ranked vanilla before chocolate. So 1/10 * 60 = 6 people ranked vanilla before chocolate.

1/3 of the people ranked vanilla before strawberry. So 1/3 * 60 = 20 people ranked vanilla before strawberry.

So, it is impossible to have 24 people ranked vanilla first. That's because 24 + 36 + 6 + 20 = 86 which is more than the total number of people.

The only option left is C. 6 people ranked vanilla first.

So the answer is 6

Question

In a marketing survey, 60 people were asked to rank three flavors of ice cream, chocolate, vanilla, and strawberry, in order of their preference. All 60 people responded, and no two flavors were ranked equally by any of the people surveyed. If 3/5 of the people ranked vanilla last, 1/10 of them ranked vanilla before chocolate, and 1/3 of them ranked vanilla before strawberry, how many people ranked vanilla first?

A. 2

B. 6

C. 14

D. 16

E. 24