Karissa and Angela 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 82 questions. Each question has 4 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 24 or more questions correct if you are randomly guessing? (Round to four decimal places.) What is the probability of getting 54 or more questions correct if you are randomly guessing? (Round to four decimal places.) Karissa got 24 questions correct. Angela got 54 questions correct. Is it reasonable to believe that Karissa had no prior knowledge of statistics? yes no Why or why not? Is it reasonable to believe that Angela had no prior knowledge of statistics? yes no Why or why not?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Karissa and Angela 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 82 questions. Each question has 4 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 24 or more questions correct if you are randomly guessing? (Round to four decimal places.)

What is the probability of getting 54 or more questions correct if you are randomly guessing? (Round to four decimal places.)

Karissa got 24 questions correct.

Angela got 54 questions correct.

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

  • yes
  • no

Why or why not?

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

  • yes
  • no

Why or why not?

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