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) \(147.6 \mathrm { lb } < \mu < 163.8 \mathrm { lb }\)

---

Definitions:

Tariff

A tax imposed by a government on imported or exported goods, often used to protect domestic industries or generate revenue.

Solar Panels

Devices that convert sunlight directly into electricity, widely used for renewable energy generation.

Imported

Pertains to goods or services brought into a country from abroad for sale or use.

EU

The European Union (EU) is a political and economic union of 27 member states that are located primarily in Europe, aimed at facilitating free trade, freedom of movement, and common legislation.