The given statement is false.
Prediction intervals must take into consideration both the random variation of the individual values and the uncertainty in predicting the population mean. Consequently, a prediction interval is always larger than a confidence interval. Additionally, as the sample size grows, the prediction interval will not condense to a single value.
Our range expands as the confidence level rises, say from 95% to 99%. It might seem illogical, but give it some thought. Wider ranges increase the likelihood that an interval contains the real parameter.
Hence the given statement is false.
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