When Obtaining a Confidence Interval for a Population Mean in the Case

question 113

Multiple Choice

When obtaining a confidence interval for a population mean in the case of a finite population of size N and a sample size n which is greater than 0.05N, the margin of error is multiplied by the following finite population correction factor: $$\sqrt { \frac { N - n } { N - 1 } }$$
Find the $95 \%$ confidence interval for the mean of 200 weights if a sample of 36 of those weights yields a mean of $151.1 \mathrm { lb }$ and a standard deviation of $23.2 \mathrm { lb }$ .

• A) \(143.5 \mathrm { lb } < \mu < 158.7 \mathrm { lb }\)
• B) \(145.2 \mathrm { lb } < \mu < 157.0 \mathrm { lb }\)
• C) \(144.2 \mathrm { lb } < \mu < 158.0 \mathrm { lb }\)
• D) \(142.8 \mathrm { lb } < \mu < 159.4 \mathrm { lb }\)

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Definitions:

Cenozoic

The most recent of the three major subdivisions of animal and plant life on Earth, covering the time from 66 million years ago to the present.

Mesozoic

The era of geologic time from about 252 to 66 million years ago, known as the "Age of Reptiles," including the Triassic, Jurassic, and Cretaceous periods.

Paleozoic

An era in the geological timescale, occurring between 541 million and 252 million years ago, characterized by the early development of abundant marine life and the first emergence of land plants and animals.

Eroded Away

The process by which rocks and soil are worn down by the action of water, wind, or ice, often resulting in altered landscapes.