Question

1. (3 pts) Identify whether each of the following samples is a possible or impossible bootstrap sample from this original sample: Briefly explain.

                                           7, 11, 4, 13, 16

(a) 13, 16, 11, 7               

                

      

1. 4, 4, 13, 7, 7             

                       

                

(d) 13, 11, 18, 7, 4

Answer 1

(a)

13, 16, 11, 7       

All the values are present in the original sample  7, 11, 4, 13, 16.

So, it is possible bootstrap sample.

(b)

4, 4, 13, 7, 7       

All the values are present in the original sample  7, 11, 4, 13, 16.

So, it is possible bootstrap sample.

(d)

13, 11, 18, 7, 4

The value 18 is not present in the original sample  7, 11, 4, 13, 16.

So, it is not possible bootstrap sample.