Final answer:
To select a simple random sample (SRS) of 75 high school students using a random number generator, assign each student a unique number, and then generate 75 random numbers corresponding to the students on your list.
Step-by-step explanation:
To select an SRS of 75 students from a high school using a random number generator, you can follow these steps:
- Obtain a complete list of all students enrolled in the high school during the fall semester.
- Assign a unique number to each student, starting from 1 up to the total number of students enrolled. Ensure that each number has the same number of digits by adding leading zeros if necessary.
- Use a random number generator to produce a list of 75 unique random numbers, each corresponding to the numbers you assigned to the students.
- If a generated number corresponds to a student already selected, ignore that number and generate a new one to ensure each student is only selected once.
- Once you have a list of 75 unique numbers, match those numbers back to your original list to identify the students who have been randomly selected.
This sampling method ensures each student has an equal chance of being chosen, fulfilling the requirement of a simple random sample (SRS). It's important to use a reliable and truly random number generator for this process.