Statistics Test: Advanced Placement! Trivia Questions Quiz

5 Questions | By Feligian | Updated: Mar 21, 2022 | Attempts: 649

The trivia quiz below is a Statistics Test for the Advanced Placement class. It is perfect for testing out just how attentive students have been in their statistics class as they prepare to sit for the major exams. If you think you might need a refresher, be sure to take the quiz below and hope to get the best score. All the best!

Questions and Answers

1.

A medicine is known to produce side effects in one in five patients taking it. Suppose a doctor prescribes the medicine to four unrelated patients. What is the probability that none of the patients will develop side effects?
- A.
  
  0.8000
- B.
  
  0.4096
- C.
  
  0.2500
- D.
  
  0.2000
- E.
  
  0.0016
2.

Random variable X is normally distributed, with a mean of 25 and a standard deviation of 4. Which of the following is the approximate interquartile range for this distribution?
- A.
  
  25.00 - 22.30 = 2.70
- B.
  
  27.70 - 22.30 = 5.40
- C.
  
  27.70 / 22.30 = 1.24
- D.
  
  2.00(4.00) = 8.00
- E.
  
  37.00 - 13.00 = 24.00
3.

An experiment was designed to test the effects of three different types of paint on the durability of wooden toys. Because boys and girls tend to play differently with toys, a randomly selected group of children was divided into two groups based on gender. Which of the following statements about this experiment is true?
- A.
  
  There are three types of paint and two gender groups, giving a total of six treatment combinations in this experiment.
- B.
  
  Type of paint is a blocking factor.
- C.
  
  Gender is a blocking factor.
- D.
  
  This is a completely randomized design.
- E.
  
  This is a matched pairs design in which one boy and one girl are matched by age to form a pair.
4.

An insurance agent is successful in selling a life insurance policy to 20 percent of the customers she contacts. She decides to construct a simulation to estimate the mean number of customers she needs to contact before being able to sell a policy. Which of the following schemes should she use to do the simulation?
- A.
  
  Assign numbers 0, 1 to successfully selling a policy to a customer and numbers 2, 3, 4 to failing to sell a policy to a customer.
- B.
  
  Assign numbers 0, 1 to successfully selling a policy to a custome and numbers 2, 3, 4, 5, 6, 7, 8, 9 to failing to sell a policy to a customer.
- C.
  
  Assign number 0 to successfully selling a policy to a customer and number 1 to failing to sell a policy to a customer.
- D.
  
  Assign numbers 0, 1, 2, 3, 4 to successfully selling a policy to a customer and numbers 5, 6, 7, 8, 9, to failing to sell a policy to a customer.
- E.
  
  Assign number 20 to successfully a policy to a customer and numbers 1, 3, 5, 7, 9, 11, 13, 15, 17, 19 to failing to sell a policy to a customer.
5.

Which of the following statements about any two events A and B is true?
- A.
  
  P(A U B) = 0 implies events A and B are independent.
- B.
  
  P(A U B) = 1 implies events A and B are mutually exclusive.
- C.
  
  P(A ∩ B) = 0 implies events A and B are independent.
- D.
  
  P(A ∩ B) = 0 implies events A and B are mutually exclusive.
- E.
  
  P(A ∩ B) = P(A) - P(B) implies events A and B are equally likely events.