Math  /  Data & Statistics

QuestionIf all other quantities remain the same, how does the indicated change affect the minimum sample size requirement? (a) Increase in the level of confidence (b) Increase in the error tolerance (c) Increase in the population standard deviation (a) How does an increase in the level of confidence affect the minimum sample size requirement? Choose the correct answer below.
An increase in the level of confidence \square the minimum sample size required.

Studdy Solution
Since σ \sigma is in the numerator, increasing σ \sigma increases the value of (ZσE)2 \left( \frac{Z \cdot \sigma}{E} \right)^2 , leading to a larger sample size requirement.
Conclusion for (c): An increase in the population standard deviation \textbf{increases} the minimum sample size required.

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