Answer :
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.
Final answer:
For bootstrap samples, all values must come from the original sample and duplicates are allowed. So, the only impossible bootstrap sample from the provided options is (d) 14, 20, 12, 19, 15 as it includes values not present in the original sample.
Explanation:
In bootstrap sampling, we are creating new samples from our original data through resampling with replacement. This means that any duplicate values of the original data are considered valid, but values not present in the original data are not valid for bootstrap samples. Here are the answers:
- Option (a) 12, 19, 13, 43, 15: This is the original sample, so it is a possible bootstrap sample.
- Option (b) 12, 19, 15: It's shorter than the original sample, but it's still possible for a bootstrap sample as all values come from the original sample.
- Option (c) 12, 12, 12, 43, 43: All values are present in the original sample, so it's possible.
- Option (d) 14, 20, 12, 19, 15: Included values, 14 and 20, are not in the original sample, so it's not possible.
- Option (e) 12, 13, 13, 12, 43, 15, 19: All values are present in the original sample and duplicates are allowed, so it's possible.
Learn more about Bootstrap Sampling here:
https://brainly.com/question/35663442
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