Question 3.76 (a) (b) (c) (d) (e) (f) Describe how to select statistic Recognize

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Question 3.76 (a) (b) (c) (d) (e) (f) Describe how to select statistic Recognize that a bootstr of the original statistic Use technology to creat Estimate the standard e Construct a 95% confide statistic and the standar Exercises for Section 3.3 SKILL BUILDER 1 In Exercises 3.75 and 3.76, a sample is given. Indi- cate whether each option is a possible bootstrap sample from this original sample. 3.75 Original sample: 17, 10, 15, 21, 13, 18. Do the values given constitute a possitb sample from the original sample? (a) 10, 12, 17 18, 20, 21 (b) 10, 15, 17 (c) 10, 13, 15, 17, 18, 21 (d) 18, 13,21, 17, 15, 13, 10 (e) 13, 10, 21, 10, 18, 17 3.76 Original sample: 85, 72, 79, 97 88. Do the values given constitute a possib sample from the original sample? le bootstrap (a) 79, 79, 97 85, 88 (b) 72, 79, 85, 88, 97 (c) 85, 88, 97, 72

Explanation / Answer

A bootstrap sample is a random sample taken with replacement from the original sample of the same size as the original sample and hence

(a) Yes this is a possible bootstrap sample

(b) Yes this is a possible bootstrap sample

(c) This bootstrap sample has a size 4 while original sample has size of 5 hence this is not the possible bootstrap sample

(d) The no. 81 and 78 are not in original sample hence this is not the possible bootstrap sample

(e) Yes this is a possible bootstrap sample

(f) Yes this is a possible bootstrap sample

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