An interval estimate is a range of values within which the actual value of a population parameter falls. You Answered True Correct Answer False
Question
An interval estimate is a range of values within which the actual value of a population parameter falls.
You Answered True
Correct Answer False
Solution
An interval estimate is indeed a range of values, but the actual definition refers specifically to an estimation of a population parameter based on sample data. An interval estimate provides a range of plausible values for the parameter, not a definitive statement regarding where the actual value lies. It's essential to recognize that the true value may or may not fall within this interval, depending on the confidence level and the nature of the sample. Moreover, each interval estimate is associated with a certain level of confidence (like a 95% confidence interval), which indicates how confident we are that the interval contains the true parameter value. This nuance is what leads to the assertion that the answer may be false if interpreted strictly.
In summary, interval estimates provide a range of values that are likely to cover the population parameter based on the sample, but they do not guarantee that the actual value of the parameter lies within that range. Therefore, the correct answer is technically "False."
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An interval estimate is a range of values within which the actual value of a population parameter falls.
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