A Coffee House Owner Knows That Customers Pour Different Amounts $12.5 \pm 2.228 \left( \frac { 0.5 } { \sqrt { 9 } } \right)$

question 234

Multiple Choice

A coffee house owner knows that customers pour different amounts of coffee into their cups. She Samples cups from 10 costumers she believes to be representative of the customers and weighs the Cups, finding a mean of 12.5 ounces and standard deviation of 0.5 ounces. Assuming these cups of Coffee can be considered a random sample of all cups of coffee which of the following formulas Gives a 95% confidence interval for the mean weight of all cups of coffee?

• A) \(12.5 \pm 2.228 \left( \frac { 0.5 } { \sqrt { 9 } } \right)\)
• B) \(12.5 \pm 2.262 \left( \frac { 0.5 } { \sqrt { 9 } } \right)\)
• C) \(12.5 \pm 2.262 \left( \frac { 0.5 } { \sqrt { 10 } } \right)\)
• D) \(12.5 \pm 2.228 \left( \frac { 0.5 } { \sqrt { 10 } } \right)\)
• E) \(12.5 \pm 1.969 \left( \frac { 0.5 } { \sqrt { 10 } } \right)\)

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Definitions:

Predicting Profits

The process of estimating the future financial profits of a business based on current data, trends, and analysis.

Production Volumes

The quantity of goods a company produces within a given period, often used to measure operational efficiency.

High-low Method

An accounting technique used to estimate the variable and fixed components of a company's costs, based on the highest and lowest levels of activity.

Fixed Costs

Expenses that do not change in total regardless of the level of production or sales activity.