Unit Test — Unit test

Question 4 • Statistical Modeling - Content Recovery - Part B

A teacher assigns 10 questions for homework and wants to randomly pick 3 questions to be graded. Which of the following procedures would produce a simple random sample?

Answer

Assign the homework questions the numbers 1–10. Use a random number table to select the first three numbers between 1 and 10. These represent the questions that will be graded.

Assign the homework questions the numbers 0 to 9. Use a random number table to select the first three numbers between 0 and 9. These represent the questions that will be graded.

Assign the homework questions the numbers 01–10. Use a random number table to select the first three 2-digit numbers between 01 and 10. These represent the questions that will be graded.

Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.

Explanation

A simple random sample of 3 questions requires selecting 3 different questions, with each possible group of 3 equally likely. Choice D assigns a unique number to each question and uses the first three unique numbers, so repeated numbers are skipped rather than selecting the same question twice. The other procedures do not specify that the selected numbers must be unique.

AI-written and checked against the verified answer.

More from this Course

Quiz

10 verified answers

Additional Principles of Experimental Design