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

question 7

Multiple Choice

A coffee house owner knows that customers pour different amounts of coffee into their cups. She samples cups from 10 customers 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) \( 12.5 \pm 2.228\left(\frac{0.5}{\sqrt{10}}\right) \)
• D) \( 12.5 \pm 2.262\left(\frac{0.5}{\sqrt{10}}\right) \)
• E) \( 12.5 \pm 1.96\left(\frac{0.5}{\sqrt{10}}\right) \)

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Definitions:

Internal Auditing

An objective assurance and consulting activity designed to add value and improve an organization's operations, focusing on internal control effectiveness and risk management.

Accounting Manager

A professional role responsible for overseeing accounting and financial tasks within an organization, such as maintaining financial records, preparing reports, and ensuring compliance with laws and regulations.

Concurrent Control

A management technique that involves monitoring and adjusting processes and activities as they happen in real-time.

Product Quality

The extent to which a product or service fulfills or surpasses the anticipations of customers.