Simple Random Sampling Concepts
This deck covers the fundamental concepts of simple random sampling, including definitions, examples, and processes for selecting samples.
Define simple random sampling.
Key Terms
As part of a college literature course, students must read three classic works of literature from the provided list. Write a short description of the processes that can be used to generate a simple random sample of three books. Obtain a simple random sample of size 3 from this list.
(a) Which of the following would produce a simple random sample? Select all that apply.
(b) The list of digits below is from a random number generator using technology. Use the list of numbers to obtain a simple random sample of size 3 from this list. If you start on the left and take the first three numbers between 1 and 9, what three books would be selected from the numbered list?
7, 8, 8, 8, 0, 9, 9, 9, 2, 3, 1, 5, 4, 5, 2
(a) Number the books from 1 to 9 and use a random number generator to produce 3 different numbers from 1 to 9 that correspond to the books selected...
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| Term | Definition |
|---|---|
Define simple random sampling. | A sample of size n from a population of size N is obtained through simple random sampling if every possible sample of size n has an equally likely chance of occurring. The sample is then called a simple random sample. |
A student entering a doctoral program in educational psychology is required to select three courses from the list of courses provided as part of his or her program.
(a) List all possible three-course selections.
(b) Comment on the likelihood that EPR 643, EPR 639, and EPR 624 will be selected. | (a) 643, 639, 624; 643, 639, 604; 643, 639, 696; 643, 624, 604; 696, 624, 604; 643, 696, 604; 639, 696, 604; 639, 624, 604; 643, 696, 624; 639, 696, 624
(b) There is a 1 in 10 chance that these courses will be selected. |
What is a frame? | A frame is a list of the individuals in the population being studied. |
A community college employs 88 full-time faculty members. To gain the faculty's opinions about an upcoming building project, the college president wishes to obtain a simple random sample that will consist of 9 faculty members. He numbers the faculty from 1 to 88. Complete parts (a) and (b) below.
(a) Using the provided random number table, the president closes his eyes and drops his ink pen on the table. It points to the digit in row 3, column 6. Using this position as the starting point and proceeding downward, determine the numbers for the 9 faculty members who will be included in the sample.
(b) The president uses technology to produce the following random numbers: 57, 58, 45, 59, 64, 58, 50, 80, 15, 36. Determine the numbers for 9 faculty members who will be included in the sample. | (a) 63, 19, 58, 11, 49, 50, 34, 61, 86
(b) 57, 58, 45, 59, 64, 50, 80, 25, 36 |
What does it mean when sampling is done without replacement? | Once an individual is selected, the individual cannot be selected again. |
As part of a college literature course, students must read three classic works of literature from the provided list. Write a short description of the processes that can be used to generate a simple random sample of three books. Obtain a simple random sample of size 3 from this list. | (a) Number the books from 1 to 9 and use a random number generator to produce 3 different numbers from 1 to 9 that correspond to the books selected; List each book on a separate piece of paper, place them all in a hat, and pick three |
A student entering a doctoral program in educational psychology is required to select two courses from the list of courses provided as part of his or her program. | (a) 634, 637; 634, 668; 668, 637; 637, 687; 668, 687; 680, 687; 668, 680; 680, 637; 634, 680; 634, 687 |
A club wants to sponsor a panel discussion on the upcoming national election. The club wants four of its members to lead the panel discussion. Write a short description of the processes that can be used to generate your sample. Obtain a simple random sample of size 4 from the table. | (a) Number the names from 1 to 25 and use a random number generator to produce 4 different numbers corresponding to the names; List each name on a separate piece of paper, place them all in a hat, and pick four. |