Question

An original sample is shown: 8961316 In each case below, do the values given constitute a possible bootstrap sample from the original sample? (a) 6,9,13,16,8 Yes No

Answer 1

No because The number 8 in the given sample (6, 9, 13, 16, 8) does not exist in the original sample (8961316), making it an invalid bootstrap sample.

Step-by-step explanation:

The given values (6, 9, 13, 16, 8) do not constitute a possible bootstrap sample from the original sample (8961316). Bootstrap samples are created by randomly sampling with replacement from the original data.

In this case, the values in the given sample appear to be a subset of the original sample, but the presence of the number 8 indicates a discrepancy.

In a bootstrap sample, each element should be selected independently with replacement, meaning that any value from the original sample could potentially be chosen more than once.

However, in the given sample, the number 8 does not exist in the original sample, making it impossible to have been selected with replacement. Therefore, the provided values do not form a valid bootstrap sample.