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Which of the following best describes an interval estimator?Group of answer choicesOnly the population mean has an interval estimator.Interval estimators can be used to draw inferences about a population based on sample statistics.An interval estimator is the same as an interval estimate.An interval estimator is the same as a point estimator.

Question

Which of the following best describes an interval estimator?Group of answer choicesOnly the population mean has an interval estimator.Interval estimators can be used to draw inferences about a population based on sample statistics.An interval estimator is the same as an interval estimate.An interval estimator is the same as a point estimator.

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Solution

An interval estimator can be best described by the following steps:

  1. Understand the concept: An interval estimator is a formula or a procedure that is used to construct confidence intervals. A confidence interval is a range of values, derived from a data sample, which is likely to contain the value of an unknown population parameter.

  2. Evaluate the options:

    a) Only the population mean has an interval estimator: This is incorrect. Interval estimators can be used for various population parameters, not just the mean. They can be used for population proportions, variances, differences between means, etc.

    b) Interval estimators can be used to draw inferences about a population based on sample statistics: This is correct. Interval estimators are used to estimate the range within which a population parameter is likely to lie, based on sample data.

    c) An interval estimator is the same as an interval estimate: This is incorrect. An interval estimator is a procedure or formula used to construct the interval estimate. The interval estimate is the actual range of values calculated using this procedure.

    d) An interval estimator is the same as a point estimator: This is incorrect. A point estimator provides a single value as an estimate of a population parameter, while an interval estimator provides a range of values.

  3. Choose the best description: Based on the evaluation, the best description of an interval estimator is: "Interval estimators can be used to draw inferences about a population based on sample statistics."

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