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When constructing a 95% confidence interval for a population mean μ, what is the most important...

When constructing a 95% confidence interval for a population mean μ, what is the most important condition that must be approximately satisfied so that in 95% of repeated samples the calculated intervals will cover the unknown value μ?

  • A. The population standard deviation must always be small.

  • B. The sample size n must be at least 100 (so that the Central Limit Theorem applies).

  • C. The population from which the sample is drawn must be at least 10 times the sample size n.

  • D. The sample must be randomly drawn

math   Statistics-And-Probability   
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Answer: D. The sample must be randomly drawn

...we know that if the sample is not randomly drawn then it will give biased estimate for the population parameter or population mean. If the sample is randomly drawn, it will represent entire population and the estimate for this randomly drawn sample will be better or unbiased.

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