Probability And Hypothesis Testing

18 Questions | Total Attempts: 63

SettingsSettingsSettings
Please wait...
Hypothesis Quizzes & Trivia

Questions and Answers
  • 1. 
    What is the probability of getting a sum total of 5 when 2 fair dice are rolled?
    • A. 

      8/36

    • B. 

      5/18

    • C. 

      4/12

    • D. 

      4/36

  • 2. 
    There are only 5 seats available on a flight. There are 3 passengers waiting to be seated. How many ways can they be seated?
    • A. 

      10

    • B. 

      60

    • C. 

      15

    • D. 

      30

  • 3. 
    You were given 10 questions to answer in an interview. But you were asked to answer for only 5 of them. You can choose whichever you like. How many ways can you answer the interview?
    • A. 

      252

    • B. 

      50

    • C. 

      128

    • D. 

      500

  • 4. 
    Garrison Keeler starts his Radio Show by saying all the childeren in Lake Wobegon are above average? Is he making sense, statistically speaking?
    • A. 

      Yes

    • B. 

      No

  • 5. 
    The HbA1C levels were collected from a sample of 100 subjects.  The sample mean was 4.8%. The sample standard deviation was 3.2 %. What is the standard error.
    • A. 

      32%

    • B. 

      3.2%

    • C. 

      0.32%

    • D. 

      0.032%

  • 6. 
    For the above question. Write the lower end of the popoluation's 95% confidence interval range. (Write only the number upto two decimal places, do not include percentage sign or other special characters).
  • 7. 
    You have to choose one among the following two lotteries. Each lottery has three equally likely possibilities. Which one would you pick? Lottery 1:  $4000     $5000    $  9000 Lottery:2   $2000     $5000    $11000
    • A. 

      Lottery 1

    • B. 

      Lottery 2

    • C. 

      Cannot decide

  • 8. 
    You have to choose one among the following two lotteries. Each lottery has three equally likely possibilities. Which one would you pick? Lottery 1:  $12000     $7000    $  5000 Lottery:2   $  4000     $6000    $11000
    • A. 

      Lottery 1

    • B. 

      Lottery 2

    • C. 

      Cannot Decide

  • 9. 
    You have to choose one among the following two lotteries. Each lottery has three equally likely possibilities. Which one would you pick? Lottery 1:  $  5000     $  9000    $  4000 Lottery:2   $  3000     $  2000    $  1000
    • A. 

      Lottery 1

    • B. 

      Lottery 2

    • C. 

      Cannot Decide

  • 10. 
    Check all that are true.
    • A. 

      A distribution is equivalent to histogram

    • B. 

      The Y-axis of a distribution shows actual frequency

    • C. 

      The Y-axis of a distribution shows actual proportion of frequency

    • D. 

      The X axis shows bins (categories) or real values

  • 11. 
    What is probability of getting a number between 3 and 5 from a random number uniformly distributed between -4 and +4.
    • A. 

      0.5

    • B. 

      0.2

    • C. 

      0.1

    • D. 

      Cannot be computed

  • 12. 
    Check all that are true
    • A. 

      A random number having distribution with greater spread has higher average.

    • B. 

      A random number having distribution with greater spread has higher variance.

    • C. 

      A random number having distribution with greater spread has higher standard deviation.

    • D. 

      A random number having distribution with greater spread has higher median.

  • 13. 
    Hypothesis testing allows us to
    • A. 

      Extract new information

    • B. 

      Test if the sample data supports or does not support a theory

    • C. 

      Proove a theory

    • D. 

      Disproove a theory

  • 14. 
    Rejecting a null hypothesis means
    • A. 

      Disproving a theory

    • B. 

      Accepting a theory

    • C. 

      It is unlikely that the theory holds given the sampled data

    • D. 

      We do not accept the results

  • 15. 
    A pharmaceutical company wants to obtain a patent for a drug it claims to reduce Systolic Blood Pressure among people aged between 40 and 60 years. The company conducted an elaborate clinical trails in this regard. Check all the scenarios where the company fails to obtain the required FDA approval.
    • A. 

      There were only 500 patients.

    • B. 

      Only 40% of the subjects showed actual reduction

    • C. 

      Compared to the control group (people who did not take the drug), the treatment group (people who took the drug) showed no statistically significant reduction in SBP.

    • D. 

      Nearly 90% of the patients are less than 50 years old

    • E. 

      The company did not include paired t-test results.

  • 16. 
    A normal distribution is preferred over uniform distribution.
    • A. 

      True

    • B. 

      False

  • 17. 
    Are random numbers generated by computer truely random? Hint: Think of randomness as something we absolutely cannot predict
    • A. 

      Yes

    • B. 

      No

  • 18. 
    What is (x+1)! / (x-1)!  ?
    • A. 

      X^2

    • B. 

      X/(X-1)

    • C. 

      X*(X+1)

    • D. 

      X

Back to Top Back to top