Lesson 3p.10

3p.10 Comment on the differences between experimental and theoretical values in terms of... Quiz: Pearson Edexcel Statistics, Unit 3

20 questions

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Lesson 3p.10, Comment on the differences between experimental and theoretical values in terms of...: 20 multiple choice questions for the Pearson Edexcel GCSE Statistics (1ST0), Unit 3: Probability, written with Revision Ninja.

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The 20 questions

  1. Which comparison helps check for data bias using a probability model?

    • Observed versus expected
    • Range versus IQR
    • Sample versus quota
    • Mean versus median
  2. What is the requirement for formal significance tests in GCSE Statistics?

    • Not required
    • Mandatory for higher tier
    • Required for normal distribution
    • Required for binomial only
  3. In a binomial experiment with n = 10 and p = 0.5, what is the expected number of successes?

    • 10
    • 2.5
    • 5
    • 0.5
  4. What observation may suggest potential bias in experimental results?

    • Exact match
    • Small variation
    • Large discrepancy
    • Zero difference
  5. What is the appropriate action when experimental and theoretical values differ slightly?

    • Retract study
    • Reject hypothesis
    • Mandatory t-test
    • No formal test
  6. Why do statisticians compare experimental results with theoretical probabilities?

    • Check consistency
    • Eliminate all errors
    • Calculate averages
    • Prove absolute truth
  7. Observed 3 heads in 10 tosses, expected 5 under a binomial model. What is the observed minus expected difference?

    • -8
    • 2
    • -2
    • 3
  8. What factor can cause observed binomial results to differ from theoretical expectations?

    • Perfect randomness
    • Biased equipment
    • Correct probability
    • Large sample size
  9. A binomial model has n = 8 and p = 0.25. What is the expected number of successes?

    • 2
    • 8
    • 0.25
    • 6
  10. In 12 trials with p=0.5, a model expects 6 successes but 9 are observed. What does this suggest?

    • Zero error
    • Possible bias
    • Pure certainty
    • Guaranteed fraud
  11. A fair coin is tossed 80 times. What are the expected heads?

    • 0.5
    • 8
    • 40
    • 80
  12. A binomial model predicts 30 successes but 20 are observed. What is the observed minus expected difference?

    • 10
    • -10
    • -30
    • 50
  13. When observed survey results vastly exceed expected values, what should be suspected?

    • Perfect accuracy
    • Random fluctuation
    • Zero error
    • Sampling bias
  14. A binomial model has n = 10 and p = 0.6. What are the expected successes?

    • 60
    • 4
    • 0.6
    • 6
  15. If observed successes are lower than expected in trials, what could be the cause?

    • Absolute certainty
    • Fixed parameter
    • Chance or bias
    • Guaranteed error
  16. Which method can be used to find expected frequencies from a binomial model?

    • Frequency polygon
    • Bar chart
    • Pie chart
    • Pascal triangle
  17. Why does a single unusual experimental result not definitively prove bias?

    • Model failure
    • Chance variation
    • Biased sample
    • Calculated error
  18. Observed 16 heads in 20 tosses with p=0.5. What is the correct conclusion?

    • Possible bias
    • Proven fraud
    • Definite certainty
    • Expected outcome
  19. Observed successes exceed binomial expectations. What are the two main possible reasons?

    • Theory or fact
    • Sample or total
    • Mean or median
    • Chance or bias
  20. What is the primary purpose of comparing experimental data with theoretical models?

    • Prove absolute certainty
    • Eliminate all variables
    • Calculate exact means
    • Assess chance versus bias

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