A Coffee House Owner Knows That Customers Pour Different Amounts $12.5 \pm 2.228 \left( \frac { 0.5 } { \sqrt { 10 } } \right)$

question 1

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) \(12.5 \pm 2.228 \left( \frac { 0.5 } { \sqrt { 10 } } \right)\)
• B) \(12.5 \pm 2.262 \left( \frac { 0.5 } { \sqrt { 10 } } \right)\)
• C) \(12.5 \pm 2.262 \left( \frac { 0.5 } { \sqrt { 9 } } \right) ^ { 3 }\)
• D) \(12.5 \pm 1.969 \left( \frac { 0.5 } { \sqrt { 10 } } \right)\)
• E) \(12.5 \pm 2.228 \left( \frac { 0.5 } { \sqrt { 9 } } \right\}\)

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Definitions:

For Statement

A control flow statement in programming used to execute a sequence of instructions a certain number of times.

Infinite Loop

A loop that never terminates or ends, causing a program to run indefinitely.

For Statement

A loop control statement that repeats a block of code a specified number of times.

Tested Expression

An expression evaluated in conditional statements to decide the flow of execution based on its truthiness.