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Given X, a 95% Prediction Interval for a Single Value

question 82

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Given x, a 95% prediction interval for a single value of y is always wider than a 95% confidence interval for the average value of y.

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Definitions:

Significance Level

The probability of rejecting the null hypothesis in a statistical test when it is actually true, commonly denoted as alpha.

Vaccine Effectiveness

A measure of the ability of a vaccine to prevent a specific disease or its consequences under real-world conditions.

P-value

A statistical measure that helps determine the significance of results in hypothesis testing, indicating the probability of observing test results as extreme as the ones obtained if the null hypothesis were true.

Significance Level

The threshold of probability at which the results of a statistical test are considered significant, often denoted by alpha.

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