Flashcard-Understanding Margin of Error and Confidence Intervals

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What is the definition of Margin of Error?

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The Margin of Error is a statistic that expresses the amount of random sampling error in a survey's results. It represents the range within which the true population parameter is expected to fall.

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What is a Confidence Interval?

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A Confidence Interval is a range of values, derived from sample statistics, that is likely to contain the value of an unknown population parameter. It is associated with a confidence level, such as 95%.

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How is Margin of Error calculated?

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Front

What does a 95% Confidence Interval mean?

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A 95% Confidence Interval means that if we were to take 100 different samples and compute a confidence interval for each sample, then approximately 95 of the intervals will contain the true population mean.

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If the standard deviation is 0.3, what is the margin of error for a 95% confidence level?

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What is the relationship between sample size and Margin of Error?

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As the sample size increases, the Margin of Error decreases, leading to a more precise estimate of the population parameter.

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What is the formula for calculating the standard deviation from Margin of Error?

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If the confidence interval for a population mean is (20, 40), what is the sample mean?

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The sample mean is 30.

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What is the effect of increasing the confidence level on the Margin of Error?

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Increasing the confidence level results in a larger Margin of Error, as a wider range is needed to ensure that the true population parameter is captured.

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What is the Margin of Error if the standard deviation is 3.2?

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