Question

Suppose the following data represent the heights​ (in inches) of a random sample of​ males:

6565​,

6767​,

6969​,

7070​,

7272​,

7373.

Which of the following could be a possible bootstrap​ sample?

​(a) 65 comma 69 comma 69 comma 74 comma 72 comma 7265, 69, 69, 74, 72, 72

​(b) 73 comma 69 comma 67 comma 72 comma 69 comma 7373, 69, 67, 72, 69, 73

​(c) 67 comma 65 comma 67 comma 73 comma 7267, 65, 67, 73, 72

​(d) 65 comma 67 comma 67 comma 69 comma 67 comma 7365, 67, 67, 69, 67, 73

​(e) 67 comma 72 comma 69 comma 67 comma 73 comma 72 comma 6767, 72, 69, 67, 73, 72, 67

Answer 1

Solution

A bootstrap sample is a smaller sample that is bootstrapped from a larger sample., here we perform sampling with replacement.

Given Sample=65,67,69,70,72,73

as per above definition the bootstrap sample will always be smaller.

Ans:C.)67, 65, 67, 73, 72