Statistics Hardest Questions: Advanced Placement Exam! Trivia Quiz

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Statistics Hardest Questions: Advanced Placement Exam! Trivia Quiz

The trivia quiz below is Statistics Hardest Questions from the Advanced Placement Exam! It is designed to give students an idea of how the exams are set up and at the same time measure what they can remember from their classwork. If you need a quiz to do all this for you, be sure to take this comprehensive and challenging quiz.


Questions and Answers
  • 1. 
    A university is proposing a new procedure for professors to gain tenure.  To gauge sentiment about the proposal, the university intends to randomly sample five professors, five assistant professors, and five associate professors.  This is an example of what type of sampling design?
    • A. 

      Simple random sample

    • B. 

      Stratified random sample

    • C. 

      Systematic random sample

    • D. 

      Cluster sample

    • E. 

      Convenience sample

  • 2. 
    Twenty types of 12 oz. cans of soda were tested for calories and sugar (mg).  The sodas averaged 156.85 calories with a standard deviation of 22.64, and the sugar level averaged 401.15 mg with a standard deviation of 102.43 mg.  The correlation was given as r = 0.887.  The equation of the LSRL predicting sugar level from calories is:
    • A. 

      Predicted y = -228.30 + 4.01x

    • B. 

      Predicted y = 22.64 - 156.85x

    • C. 

      Predicted y = 102.43 - 401.15x

    • D. 

      Predicted y = 4.01 - 228.33x

    • E. 

      Predicted y = 78.19 + 0.196x

  • 3. 
    A random variable has a standard deviation of 1.3.  A new variable is created by transforming the values of the random variable using the following rule:  Multiply each value by 2 and then add 5.  What is the value of the standard deviation for this transformed variable?
    • A. 

      1.3

    • B. 

      2.6

    • C. 

      6.3

    • D. 

      7.6

    • E. 

      8.5

  • 4. 
    An airline has an on-time probability of 82.4%.  What is the probability that, if you travel on this airline, no more than three of your next ten flights will not be on time? (Assume the flights are independent.) Select an answer.
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

    • E. 

      E

  • 5. 
    A random sample of 25 birth-weights (in ounces) is taken, yielding the following summary statistics. What can be said about the number of outliers for this data set?
    • A. 

      0

    • B. 

      At least 1

    • C. 

      No more than 1

    • D. 

      At least 2

    • E. 

      No more than 2