Final answer:
True, a 95% prediction interval for a single value of y is always wider than a 95% confidence interval for the average value of y.
Step-by-step explanation:
True
A 95% prediction interval for a single value of y is always wider than a 95% confidence interval for the average value of y. This is because a prediction interval takes into account variability in the data, while a confidence interval only considers the variability of the sample mean.
For example, suppose we have a dataset of test scores and we want to predict the score of a specific student. The prediction interval will be wider because it accounts for the individual variability of the students' scores, whereas the confidence interval for the average score only considers the variability of the sample mean.