Here is a random sample of​ taxi-out times​ (in minutes) for airline flights out of an​ airport: 12,​ 19, 13,​ 43, 15. Which of the following are not possible bootstrap​ samples? ​(a) 12,​ 19, 13,​ 43, 15 ​(b) 12,​ 19, 15 ​(c) 12,​ 12, 12,​ 43, 43 ​(d) 14,​ 20, 12,​ 19, 15 ​(e) 12,​ 13, 13,​ 12, 43,​ 15, 19

Respuesta :

Answer:

​(b) 12,​ 19, 15 ​

(d) 14,​ 20, 12,​ 19, 15 ​

(e) 12,​ 13, 13,​ 12, 43,​ 15, 19

Step-by-step explanation:

We are given the following information in the question:

12,​ 19, 13,​ 43, 15

The above is a sample of​ taxi-out times​ (in minutes).

We have to find possible bootstrap samples.

Bootstrap Sample:

  • A bootstrap sample is taken from the given sample obtained by drawing from the given sample with replacement,.
  • Also, the bootstrap sample will always have the same data points as the original sample.

​(a) 12,​ 19, 13,​ 43, 15

This is a bootstrap sample as it contains five data points and all belong to the original sample.

​(b) 12,​ 19, 15 ​

This cannot be a bootstrap sample as it contains less number of data points as compared to the original sample which is 5.

(c) 12,​ 12, 12,​ 43, 43 ​

This is a bootstrap sample s it contains five data points and all belong to the original sample.

(d) 14,​ 20, 12,​ 19, 15 ​

This cannot be a bootstrap sample as this sample contains 14, which is not in the original sample.

(e) 12,​ 13, 13,​ 12, 43,​ 15, 19

This cannot be a bootstrap sample as it contains more number of data points as compared to the original sample which is 5.