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

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.