Question

a club wants to sponsor a panel discussion on the upcoming national election. the club wants four of its members to lead the panel discussion. write a short description of the processes that can be used to generate your sample. obtain a simple random sample of size 4 from the table. click the icon to view the club membership list. which of the following would produce a simple random sample? select all that apply. a. number the names from 1 to 25 and use a random number table to produce 4 different two digit numbers corresponding to the names selected. b. list the members in alphabetical order and take the first four names on the list. c. vote on which four members should lead the panel discussion, and select those four. d. list each name on a separate piece of paper, place them all in a hat, and pick four. member list 1 blouin 11 keating 21 thompson 2 bolden 12 lukens 22 washington 3 bolt 13 may 23 williams 4 carter 14 motola 24 wright 5 cooper 15 nolan 25 zenkel 6 debold 16 ochs 7 engler 17 pawlak 8 grzybowski 18 ramirez 9 hayns 19 rios 10 hamilton 20 tate print done

Explanation:

• Option A: Numbering names 1 - 25 and using a random number table to get 4 different two - digit numbers (corresponding to names) is a valid simple random sampling method as each member has an equal chance of being selected.
• Option B: Taking the first four names from an alphabetical list is not a simple random sample as it is a systematic selection based on alphabetical order, not random.
• Option C: Voting to select members introduces bias (as people's votes are influenced by personal preferences), so it is not a simple random sample.
• Option D: Listing each name on a separate paper, putting them in a hat, and picking four is a classic simple random sampling method as each name has an equal probability of being picked.

Answer:

A. Number the names from 1 to 25 and use a random number table to produce 4 different two digit numbers corresponding to the names selected.
D. List each name on a separate piece of paper, place them all in a hat, and pick four.