Learn Without Walls

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Module 5 Post-Assessment

Measure your learning gains after completing the module

About This Assessment

Congratulations on completing Module 5! This post-assessment uses the same questions as the pre-assessment to measure how much you've learned. Your improvement demonstrates the effectiveness of the learning materials.

Same 5 questions as the pre-assessment
No time limit – take your time
See your growth – compare your score to your pre-assessment results
This data helps improve the course for future students

1 What is a sampling distribution?

The distribution of individual values in a single sample
The distribution of a statistic (like x̄) from all possible samples of size n
The distribution of the entire population
The method used to select a random sample

2 The Central Limit Theorem states that:

All populations are normally distributed
Sample means will be normally distributed if n ≥ 30, regardless of population shape
Larger samples always have larger means
The sample mean equals the population mean

3 What is the difference between standard deviation (σ) and standard error (SE)?

They are the same thing
Standard deviation measures spread of individual values; standard error measures spread of sample means
Standard error is always larger than standard deviation
Standard deviation applies to samples; standard error applies to populations

4 If a population has mean μ = 100 and standard deviation σ = 20, what is the mean of the sampling distribution of x̄ for samples of size n = 64?

μₓ̄ = 100
μₓ̄ = 20
μₓ̄ = 64
μₓ̄ = 2.5

5 For a sampling distribution of proportions, the conditions for using normal approximation are:

n ≥ 30
np ≥ 10 and n(1-p) ≥ 10
p = 0.5
The population must be normally distributed

See how much you've learned!

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