Will a large-sample confidence interval be valid if the population from which th

Question

Will a large-sample confidence interval be valid if the population from which the sample is taken is not normally distributed? Explain. Choose the correct answer below O A. Yes. Confidence intervals are always valid regardless of the shape of the population distribution OB. No. Confidence intervals require at least an approximately normal population distribution to be valid O C. No. A small-sample confidence interval is more likely to be valid, but as the sample size increases, the confidence interval will be affected more and more by the shape of the population distribution Yes As long as a sample is sufficiently large that the Central Limit Theorem applies the confidence interval will be valid regardless of the shape of the population distribution O D

Explanation / Answer

Sol:

For large sample

n>30

Sample distribution follows normal distribution even when we are not particular about the population distribution.

we can construct confidence intervals for the population paramter.

MARK OPTION D

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