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Describe a process used to draw simple random sample of size 10 from a group of 87 people.

Question

Describe a process used to draw a simple random sample of size 10 from a group of 87 people.

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Solution

Sure, here is a step-by-step process to draw a simple random sample of size 10 from a group of 87 people:

  1. Numbering: Assign a unique number to each individual in the group. This could be from 1 to 87, as there are 87 people in the group.

  2. Define the Sample Size: In this case, the sample size has already been defined as 10.

  3. Random Selection: Use a random number generator to select 10 unique numbers from 1 to 87. There are many online tools and statistical software that can do this. Make sure that the selection is random and that each number has an equal chance of being selected.

  4. Draw the Sample: The individuals corresponding to the 10 randomly selected numbers form your simple random sample.

  5. Verification: Verify that your sample is indeed random. This can be done by checking that each individual in your sample had an equal chance of being selected.

This process ensures that every possible sample of size 10 has an equal chance of being selected, which is the key principle of simple random sampling.

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