Sonya and Tiffany are two friends who say they have no previous knowledge of statistics. They are going to take a placement test to see if they should start at the introductory level or not.

The placement test is a multiple-choice test with 56 questions. Each question has 5 multiple-choice options with exactly one correct answer.

What is the expected number (mean) of correct answers if a student were to randomly guess?____________ (Do not round)

What is the standard deviation for the number of correct answers if a student were to randomly guess? ______________ (Round to two decimal places)

The usual number of correct answers, if a student were to randomly guess, would be ______to ________. (Round to the nearest whole number that would be within the interval.)

What is the probability of getting 12 or more questions correct if you are randomly guessing?______________ (Round to four decimal places.)

What is the probability of getting 32 or more questions correct if you are randomly guessing?_________________ (Round to four decimal places.)

Sonya got 12 questions correct.

Tiffany got 32 questions correct.

Is it reasonable to believe that Sonya had no prior knowledge of statistics?

yes or no

Why or why not?

Is it reasonable to believe that Tiffany had no prior knowledge of statistics?

yes or no

Why or why not?