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
-
Which comparison helps check for data bias using a probability model?
- Observed versus expected
- Range versus IQR
- Sample versus quota
- Mean versus median
-
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
-
In a binomial experiment with n = 10 and p = 0.5, what is the expected number of successes?
- 10
- 2.5
- 5
- 0.5
-
What observation may suggest potential bias in experimental results?
- Exact match
- Small variation
- Large discrepancy
- Zero difference
-
What is the appropriate action when experimental and theoretical values differ slightly?
- Retract study
- Reject hypothesis
- Mandatory t-test
- No formal test
-
Why do statisticians compare experimental results with theoretical probabilities?
- Check consistency
- Eliminate all errors
- Calculate averages
- Prove absolute truth
-
Observed 3 heads in 10 tosses, expected 5 under a binomial model. What is the observed minus expected difference?
- -8
- 2
- -2
- 3
-
What factor can cause observed binomial results to differ from theoretical expectations?
- Perfect randomness
- Biased equipment
- Correct probability
- Large sample size
-
A binomial model has n = 8 and p = 0.25. What is the expected number of successes?
- 2
- 8
- 0.25
- 6
-
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
-
A fair coin is tossed 80 times. What are the expected heads?
- 0.5
- 8
- 40
- 80
-
A binomial model predicts 30 successes but 20 are observed. What is the observed minus expected difference?
- 10
- -10
- -30
- 50
-
When observed survey results vastly exceed expected values, what should be suspected?
- Perfect accuracy
- Random fluctuation
- Zero error
- Sampling bias
-
A binomial model has n = 10 and p = 0.6. What are the expected successes?
- 60
- 4
- 0.6
- 6
-
If observed successes are lower than expected in trials, what could be the cause?
- Absolute certainty
- Fixed parameter
- Chance or bias
- Guaranteed error
-
Which method can be used to find expected frequencies from a binomial model?
- Frequency polygon
- Bar chart
- Pie chart
- Pascal triangle
-
Why does a single unusual experimental result not definitively prove bias?
- Model failure
- Chance variation
- Biased sample
- Calculated error
-
Observed 16 heads in 20 tosses with p=0.5. What is the correct conclusion?
- Possible bias
- Proven fraud
- Definite certainty
- Expected outcome
-
Observed successes exceed binomial expectations. What are the two main possible reasons?
- Theory or fact
- Sample or total
- Mean or median
- Chance or bias
-
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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