AP Statistics Quiz: Practice Test Questions

5 Questions

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AP Statistics Quiz: Practice Test Questions

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Questions and Answers
  • 1. 
    The midterm scores for a statistics class were approximately normally distributed with a mean of 52 points and a standard deviation of 4 points.  The final exam scores were approximately normally distributed with a mean of 112 points and a standard deviation of 10 points.  One student had a score of 58 points on the midterm.  If she had the same standardized score on the final exam, what must her score have been.
    • A. 

      15 points

    • B. 

      58 points

    • C. 

      118 points

    • D. 

      122 points

    • E. 

      127 points

  • 2. 
    Edward rolls a six-sided die every morning to determine what he will have for breakfast.  If he rolls a 1 or 2, he takes the time to cook himself a big breakfast.  If he rolls a 3 or larger he grabs a quick lighter breakfast.  When he cooks himself a big breakfast, there is a 15% chance he will be late for school.  If he has a lighter breakfast, there is a 6% chance he will be late for school.  What is the probability Edward will be on time for school any given day?
    • A. 

      0.09

    • B. 

      0.21

    • C. 

      0.80

    • D. 

      0.91

    • E. 

      0.94

  • 3. 
    A public health researcher suspected that there would be a relationship between the proportion of people in a state that engage in binge alcohol use and the proportion of people in the state that smoke cigarettes.  A regression analysis was performed and the output is shown below.  What is the correlation coefficient for percent cigarette smokers and percent binge drinkers?
    • A. 

      0.1887

    • B. 

      0.0356

    • C. 

      0.0160

    • D. 

      -0.1887

    • E. 

      -0.0356

  • 4. 
    A study looked at medical records of about 25,000 patients, mostly in Asia.  They found that patients who drank at least three cups of green tea per day had a much lower incidence of depression.  In an American news article about this study, which of the following statements should not be made?
    • A. 

      It is possible that people who drink green tea also tend to have healthier lifestyles than those who don't.

    • B. 

      It is possible that people who drink green tea also tend to have a more positive outlook on life than those who don't.

    • C. 

      Because this is observational data, the association between drinking green tea and a lower incidence of depression is not an indication of a causal relationship.

    • D. 

      People who want to avoid depression should consider drinking green tea on a daily basis.

    • E. 

      Because most of these people lived in Asia, where tea drinking is much more common than in the United States, a similar association may not exist in the United States.

  • 5. 
    Claire and Marc each created a simulated sampling distribution for a confidence interval. Claire simulated a CI for a mean with a known standard deviation, while Marc simulated a CI for a mean with an unknown standard deviation.  Which statement makes a correct comparison of their simulated sampling distributions?
    • A. 

      Both simulated sampling distributions are approximately normal.

    • B. 

      Claire's simulated sampling distribution is skewed to the right, and Marc's is roughly symmetric.

    • C. 

      Claire's simulated sampling distribution is approximately normal, and Marc's is approximately a t-distribution. Marc's sampling distribution has more variability.

    • D. 

      Claire's simulated sampling distribution is approximately a t-distribution, and Marc's is approximately normal. Claire's sampling distribution has more variability.

    • E. 

      Claire's simulated sampling distribution is approximately normal, and Marc's is approximately a t-distribution. Claire's sampling distribution has more variability.