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:

Memory Code

The form in which information is stored, represented, or retained in the memory.

Decay Theory of Forgetting

A psychological theory suggesting that memory fades over time due to the mere passage of time unless it is actively recalled or rehearsed.

Repression Theory

A psychological concept suggesting that individuals unconsciously push disturbing thoughts, desires, and memories out of conscious awareness.

Interference Theory

A theory suggesting that the ability to remember information is affected by competing information, either before or after the learning process.