State True or False: For a given value of x, the confidence interval for y is narrower than the...

Question:

State True or False:

For a given value of {eq}x {/eq}, the confidence interval for {eq}y {/eq} is narrower than the prediction interval for {eq}y {/eq}.

Confidence Interval:


The confidence interval provides the range of possible values for a specific parameter of the population and the width of the interval depends upon the level of significance considered for that experiment.

Answer and Explanation:


The given statement is true

The prediction interval gives the range of possible values of the dependent variable for a specific new observation rather than the range of possible values for the average population with a certain degree of assurance.

Thus, the confidence interval is narrower than the prediction interval.


Learn more about this topic:

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Finding Confidence Intervals with the Normal Distribution

from Statistics 101: Principles of Statistics

Chapter 9 / Lesson 3
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