A Grocery Store Is Interested in Determining Whether or Not $90 \%$

question 16

Multiple Choice

A grocery store is interested in determining whether or not a difference exists between the shelf life of Tasty Choice doughnuts and Sugar Twist doughnuts. A random sample of 100 boxes of each brand was selected and the mean shelf life in days was determined for each brand. A $90 \%$ confidence interval for the difference of the means, $\mu _ { T C } - \mu _ { S T }$ , was determined to be $( 1.3,2.5 )$ .

• A) We know that \(90 \%\) of Tasty Choice doughnuts last between \(1.3\) and \(2.5\) days longer than Sugar Twist doughnuts.
• B) Based on this sample, we are \(90 \%\) confident that Sugar Twist doughnuts will last on average between \(1.3\) and \(2.5\) days longer than Tasty Choice doughnuts.
• C) We are \(90 \%\) confident that a randomly selected box of Tasty Choice doughnuts will have a shelf life that is between \(1.3\) and \(2.5\) days longer than a randomly selected box of Sugar Twist doughnuts.
• D) We know that \(90 \%\) of all random samples done on the population will show that the mean shelf life of Tasty Choice doughnuts is between \(1.3\) and \(2.5\) days longer than the mean shelf life of Sugar Twist doughnuts.
• E) Based on this sample, we are \(90 \%\) confident that Tasty Choice doughnuts will last on average between \(1.3\) and \(2.5\) days longer than Sugar Twist doughnuts.

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Definitions:

Responsibility

The duty or obligation to perform or complete a task, often with an understanding of the moral, legal, or social consequences of failure to do so.

Conflict Resolution

The process of resolving a disagreement or dispute between parties in a constructive manner.

Negotiation

A dialogue between two or more people or parties intended to reach a beneficial outcome over one or more issues where conflict exists.

Win-Lose

A competitive situation or outcome in which one party's gain is exactly balanced by another's loss.