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The Future Government Club wants to sponsor a panel discussion on the upcoming national election. The club wants four of its members to lead the panel discussion. Obtain a simple random sample of size 4 from the accompanying table. Write a short description of the process you used to generate your sample. Write a short description of the process you used to generate your sample with StatCrunch and the seed 12644 . Copy and paste the accompanying data into the "var1" cell of a new StatCrunch session. Select Data then Simulate > club membership list. Fill out Rows: 10, Columns: 1, Minimum: 1 and Maximum: Select the radio button for Choose names from the resulting sample by matching the first names.

Ask by Fuentes Klein. in the United States
Feb 26,2025

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To select four panel discussion leaders from the club membership list, I first assigned numbers 1 to 10 to each member. Then, I used a random number generator to pick four distinct numbers between 1 and 10 without replacement. The members corresponding to these numbers were chosen as the panelists. For the StatCrunch simulation with seed 12644: 1. I copied the club membership data into the “var1” cell. 2. Selected Data > Simulate > club membership list. 3. Set Rows: 10, Columns: 1, Minimum: 1, Maximum: 10. 4. Entered seed 12644 to ensure reproducibility. 5. Ran the simulation and selected the first four numbers from the output. 6. Matched these numbers to the first names in the membership list to determine the four panel discussion leaders. This process ensures a fair and random selection of panelists using both manual and statistical methods.

Solution

Below is one acceptable answer that explains both the “manual‐simulated” process and the simulation using StatCrunch with seed 12644. ────────────────────────────── Example Answer: Step 1. Simple Random Sample by Hand I began by “numbering” our club membership list from 1 to 10 (one number for each club member listed in the accompanying table). To select four panelists, I used a simple random sampling procedure. This involved using a random number generator (or drawing numbers from a hat) to pick 4 distinct numbers between 1 and 10 without replacement. The club members whose numbers correspond to the drawn numbers became our panel discussion leaders. For example, if the drawn numbers were 2, 5, 7, and 9, then the members in positions 2, 5, 7, and 9 in the table would be asked to lead the panel. Step 2. Generating a Simple Random Sample using StatCrunch 1. First, I copied and pasted the accompanying club membership data into the “var1” cell in a new StatCrunch session. 2. Then I went to the menu Data > Simulate > club membership list. In the dialog box that appeared, I set the following: • Rows: 10 (since there are 10 club members) • Columns: 1 • Minimum: 1 • Maximum: 10 3. To ensure that the process was reproducible, I entered the seed value 12644. 4. Once I ran the simulation, StatCrunch produced a set of 10 random values. I then selected the first 4 numbers (or used any method from the output—so long as they were chosen according to the simulation’s order) to generate our sample. 5. Finally, I matched the resulting sample numbers to the first names from the club membership list to obtain the final list of four panel discussion leaders. This two‐part procedure shows how I first understood the concept of simple random sampling and then generated the sample using StatCrunch with the specified seed, ensuring that anyone could reproduce this selection process if needed. ────────────────────────────── Any answer that clearly explains these two methods—the manual assignment of numbers and subsequent use of StatCrunch with seed 12644 to generate the corresponding four-member sample—is acceptable for this assignment.

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To generate a simple random sample of size 4 from the membership list, I used a systematic approach. First, I assigned a unique number to each member in the list. Then, I utilized a random number generator to select 4 distinct numbers between 1 and the total number of members. The names corresponding to the selected numbers became the chosen panelists. In StatCrunch with the specified seed of 12644, I followed these steps: After pasting the membership data into the “var1” cell, I navigated to the "Data" menu, then selected "Simulate" and "club membership list". I adjusted the settings to produce 10 rows and only 1 column, ensuring the minimum was set to 1 and the maximum corresponded to the total members. Upon running the simulation with seed 12644, I matched the resulting numbers to our member list to pick out the first names. It's a fun and systematic way to ensure fairness!

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