A Grocery Store Manager Is Interested in Determining Whether or Not

Multiple Choice

A grocery store manager is interested in determining whether or not a difference exists between the shelf life of two different brands of doughnuts.A random sample of 100 boxes of each brand was selected and the shelf life in days was determined for each box.The difference in sample means is found to be $\bar { x } _ { 1 } - \bar { x } _ { 2 } = 0.8$ .Ten subsequent bootstrap samples from each of these original samples yield the following values of $\bar { x } _ { 1 } ^ { * } - \bar { x } _ { 2 } ^ { * }$ 1.8,2.7,-1.9,2.1,0.1,-0.5,-2.3,1.2,2.1,-1.0.Based on these ten values,find the bootstrap of the standard error of $\bar { x } _ { 1 } - \bar { x } _ { 2 }$ .

A) 1.7982
B) 0.5686
C) 3.2334
D) 0.43
E) 2.1111