Question

Jerome's favorite Harry Potter book has 222222 chapters, 500500500 pages, and approximately 100{,}000100,000100, comma, 000 words. He's curious how many of the words are "made up" words or names that don't exist in the dictionary.

He wants to take a systematic random sample of about 500500500 words to estimate what percent of the words in the book are made up.

Which of these strategies will accomplish his intended design?

Choose 1 answer:

Choose 1 answer:


(Choice A)

A

Randomly select one of the first 202020 words and every 20^\text{th}20

th

20, start superscript, start text, t, h, end text, end superscript word thereafter for the sample.


(Choice B)

B

Randomly select one of the first 200200200 words and every 200^\text{th}200

th

200, start superscript, start text, t, h, end text, end superscript word thereafter for the sample.


(Choice C)

C

Randomly select 232323 words from each chapter.


(Choice D)

D

Randomly select 111 word from each page.


(Choice E)

E

Assign every word a number and use a computer to randomly select 500500500 numbers with no repeats

Answer 1

Using sampling concepts, it is found that a systematic sampling of 500 words would be achieved as follows:

B. Randomly select one of the first 200 words and then every 200th word thereafter for the sample.

How are samples classified?

Samples may be classified as:

• Convenient: Drawn from a conveniently available pool.

• Random: All the options into a hat and drawn some of them.

• Systematic: Every kth element is taken.

• Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

• Stratified: Also divides the population into groups. Then, a equal proportion of each group is surveyed.

In this problem, he wants a systematic sampling, hence he should choose every kth word, which means that the answer is between options a and b.

He will choose 500 words out of 100,000, hence the value of k is given by:

k = 100000/500 = 200.

Which means that option B is correct.

More can be learned about sampling concepts at https://brainly.com/question/25122507

Answer 2

Answer:

B

Step-by-step explanation:

khan