Solve the Problem $\sqrt { \frac { N - n } { N - 1 } }$

question 119

Multiple Choice

Solve the problem.
-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 34 of those weights yields a mean of 155.7 lb and a standard deviation of 24.1 lb.

• A) \(146.8 \mathrm { lb } < \mu < 164.6 \mathrm { lb }\)
• B) \(148.3 \mathrm { lb } < \mu < 163.1 \mathrm { lb }\)
• C) \(149.3 \mathrm { lb } < \mu < 162.1 \mathrm { lb }\)
• D) \(147.6 \mathrm { lb } < \mu < 163.8 \mathrm { lb }\)

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