Describe a process you could use to get a simple random sample of size 20 from a class of size 40
Have names drawn from a hat?
(c) Describe a process you could use to get a simple random sample of size 20 from a class of size 40.
To obtain a simple random sample of size 20 from a class of size 40, you can follow these steps:
1. Assign a number to each student in the class, from 1 to 40.
2. Use a random number generator (either a physical device or a computer program) to generate random numbers between 1 and 40.
3. Repeat this process until you obtain 20 unique random numbers.
4. Identify the students corresponding to these random numbers. They will constitute your simple random sample.
Let me break down the steps further:
Step 1: Assigning a number to each student
Start by identifying each student in the class with a unique number. For example, you can assign the number 1 to the first student, 2 to the second student, and so on up to 40 for the last student.
Step 2: Random number generation
You can use a random number generator to generate random numbers within the range of 1 to 40. There are various methods available, such as using an online random number generator, a computer program like Python's random library, or physical methods like drawing numbers from a hat.
Step 3: Obtaining unique random numbers
Using your chosen method of generating random numbers, repeat the process until you have 20 unique random numbers between 1 and 40. It's important to ensure that you do not have any duplicates in your sample.
Step 4: Identifying the students
Once you have obtained your 20 unique random numbers, identify the students in your class corresponding to these numbers. You can refer to your initial numbering system to determine which students to include in your sample.
By following these steps, you will have successfully obtained a simple random sample of size 20 from your class of size 40.