Discuss the Applications of Confidence Interval Estimation
Use the Table

question 7

Multiple Choice

Discuss the applications of confidence interval estimation
Use the table below to answer the following question(s) .
The historical data of Velvetta Inc., a healthcare products manufacturer, have shown that in a production process for filling bottles of shampoo, variance in the volume is constant; however, clogs in the filling machine often affect the mean volume. The historical standard deviation is 5 milliliters. In filling 250-milliliter bottles, a sample of 20 found a meanvolume of 242 milliliters. $$\begin{array} { | l | l | } \hline \text { Velvetta Inc. Shamp o0 } & \\\text { Production } & \\\hline \text { Alpha Vahe } & 0.05 \\\hline \text { Standard Deviation } & 5 \\\hline \text { Sample Size } & 20 \\\hline \text { Sample Mean } & 242 \\\hline\end{array}$$
-From the table above, determine the cumulative probability for z at a 95% confidence level.

• A) 0.975
• B) 0.950
• C) 1
• D) 0.987

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Definitions:

Area Representation

A system of electing representatives from specific geographical areas, typically used in legislative bodies.

Price

The expenditure necessary to secure a good or service.

Consumer Surplus

The discrepancy between the price consumers are ready to pay for a good or service and the price they end up paying.

Area Representation

The graphical depiction of quantitative relationships, often used in statistical and economic models to illustrate areas under curves or between lines.