the confidence interval for the mean of y is always narrower than the prediction interval for an individual response y given the same data set, x value, and confidence level. group of answer choices true false

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09-12-2022
Mathematics

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the confidence interval for the mean of y is always narrower than the prediction interval for an individual response y given the same data set, x value, and confidence level. group of answer choices true false

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PratikshaS PratikshaS · Answer 1 · 2022-12-15T09:55:43-05:00

The statement 'the confidence interval for the mean of y is always narrower than the prediction interval for an individual response y given the same data set, x value, and confidence level.' is True.

In this question, we have been given a statement 'The confidence interval for the mean of y is always narrower than the prediction interval for an individual response y given the same data set, x value, and confidence level. '

We need to state whether the given statement is true or false.

We know that the confidence interval = sample mean ± margin of error

The confidence interval for the mean of y is narrower when the x value is close to the mean of all of the x values.

Therefore, the confidence interval for the mean of y is always narrower than the prediction interval for an individual response y given the same data set, x value, and confidence level is True.

Learn more about the confidence interval here:

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