Under Which of the Following Circumstances Is It Impossible to Construct

question 16

Multiple Choice

Under which of the following circumstances is it impossible to construct a confidence interval for the population mean?

• A) A non-normal population with a large sample and an unknown population variance.
• B) A normal population with a large sample and a known population variance.
• C) Non-normal population with a small sample and an unknown population variance.
• D) A normal population with a small sample and an unknown population variance.
• E) A non-normal population with a large sample and an unknown population variance and a normal population with a large sample and a known population variance.

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Definitions:

Population Parameter

A numerical value that describes a characteristic of an entire population, such as the mean or standard deviation.

Point Estimate

A single value given as the best guess or estimate of a population parameter based on sample data.

Interval Estimate

An interval estimate is a range of values derived from sample statistics that is likely to contain the value of an unknown population parameter.

Population Parameter

A numerical value summarizing the entire population that can often be estimated by a statistic derived from a sample.