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If the original sample is: 17, 10, 15, 21, 13, 18, indicate whether each sample

ID: 3219801 • Letter: I

Question

If the original sample is: 17, 10, 15, 21, 13, 18, indicate whether each sample below is a possible bootstrap sample from the original sample by bolding yes or no (or deleting the word that is wrong). Explain your reasoning using complete sentences.

1.                   10, 12, 17, 18, 20, 21      Yes     No      

Explain:

2.                   10, 15, 17                    Yes     No      

Explain:

3.                10, 13, 15, 17, 18, 21      Yes     No      

Explain:

4.                   18, 13, 21, 17, 15, 13, 10 Yes     No    

Explain:
the 13 shows two times.

5.                   13, 10, 21, 10, 18, 17      Yes     No   

Explain:

Explanation / Answer

Bootstrapped sample is drawn with replacement.

1) No. because 20 is not in the original sample

2. Yes. All elements there.

3) Yes. All elements are there.

4) Yes. All elements are there and sample is drawn with replacement.

5)Yes. All elements are there n the sample