A salesperson obtained a systematic sample of size 2020 from a list of 500500 clients. To do so, he randomly selected a number from 1 to 2525 , obtaining the number 1818. He included in the sample the 1818th client on the list and every 2525th client thereafter. List the numbers that correspond to the 2020 clients selected. Choose the correct answer below. A. 1818 , 4343 , ..., 498498 B. 2525 , 4343 , ..., 367367 C. 1818 , 4343 , ..., 493493 D. 2020 , 4545 , ..., 500500

Question

Gianna Golden

Business

6 April, 18:13

A salesperson obtained a systematic sample of size 2020 from a list of 500500 clients. To do so, he randomly selected a number from 1 to 2525 , obtaining the number 1818. He included in the sample the 1818th client on the list and every 2525th client thereafter. List the numbers that correspond to the 2020 clients selected. Choose the correct answer below. A. 1818 , 4343 , ..., 498498 B. 2525 , 4343 , ..., 367367 C. 1818 , 4343 , ..., 493493 D. 2020 , 4545 , ..., 500500

+1

Answers (1)

Know the Answer?

Caroline Lynch · Answer 1

The answer should be: NONE OF THE ABOVE

Explanation:

In an excel spreadsheet you start with number 1818 (lets say in B1 cell), then you apply the following formula for cells B2 and beyond: = B1+2525.

The value for cell B195 is 491,668

The value for cell B196 is 494,193

The value for cell B197 is 496,718

The value for cell B198 is 499,243

The the value for B199 is 501,768 which is out the sample

So none of the number sequences are correct. Answers A and C are closer, but they are still wrong.