Lesson 2.04h
2.04h Selecting an appropriate probability distribution Quiz: OCR Maths, Unit 14
20 questions
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Lesson 2.04h, Selecting an appropriate probability distribution: 20 multiple choice questions for the OCR Maths (H240), Unit 14: Statistical Distributions, written with Revision Ninja.
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The 20 questions
-
Which distribution models the number of successes in a fixed number of independent trials?
- Normal distribution
- Uniform distribution
- Binomial distribution
- Exponential distribution
-
Which parameter set defines a Normal distribution approximation to a Binomial distribution B(n, p)?
- Probability and trials
- Mean and variance
- Range and interquartile
- Median and mode
-
Which condition makes a Binomial model invalid when drawing cards from a deck?
- Sampling without replacement
- Two possible outcomes
- Constant success probability
- Fixed trial number
-
What type of data is appropriately modelled using a Normal distribution?
- Continuous data
- Discrete count data
- Qualitative data
- Categorical data
-
When approximating B(100, 0.2) using a Normal distribution, what is the mean parameter?
- 80
- 50
- 20
- 16
-
When approximating B(100, 0.2) using a Normal distribution, what is the variance?
- 80
- 16
- 20
- 4
-
What adjustment is needed when using a continuous Normal distribution to approximate a discrete distribution?
- Degrees of freedom
- Bivariate transformation
- Standard normalisation
- Continuity correction
-
Under what condition is a Binomial distribution B(n, p) symmetrical?
- p = 0
- p = 1
- p = 0.5
- n = 100
-
Which hypothesis states that there is no effect or no difference in a statistical test?
- Null hypothesis
- Critical hypothesis
- Sample hypothesis
- Alternative hypothesis
-
What is the term for the range of values that leads to rejecting the null hypothesis?
- Significance level
- Confidence interval
- Critical region
- Acceptance region
-
What does the parameter p represent in a Binomial distribution B(n, p)?
- Number of failures
- Number of trials
- Success probability
- Sample mean
-
Why is a Normal distribution unsuitable for modelling human income data?
- Data is skewed
- Mean equals median
- Data is infinite
- Data is continuous
-
What type of test is used when testing for any change in a parameter?
- One-tailed test
- Paired test
- Non-parametric test
- Two-tailed test
-
What is the maximum probability of incorrectly rejecting a true null hypothesis called?
- P-value
- Test statistic
- Significance level
- Critical value
-
What property must remain constant across all trials in a valid Binomial model?
- Critical value
- Sample variance
- Number of successes
- Probability of success
-
Which probability model best fits measuring heights of adult trees in a forest?
- Discrete uniform distribution
- Binomial distribution
- Geometric distribution
- Normal distribution
-
What is calculated from sample data to decide whether to reject the null hypothesis?
- Test statistic
- Confidence bound
- Critical value
- Population mean
-
What probability is calculated assuming the null hypothesis is true to evaluate test evidence?
- Standard error
- Significance level
- Critical value
- P-value
-
When is a Binomial distribution B(n, p) best approximated by a Normal distribution?
- Small n
- p near zero
- p near one
- Large n
-
Which symbol denotes the alternative hypothesis in statistical testing?
- mu
- alpha
- H0
- H1
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