Statistics 125 - Module 1 Homework 1.3
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.
Suppose you are the president of the student government. You wish to conduct a survey to determine the student body's opinion regarding student services. The administration provides you with a list of the names and phone numbers of the 744 registered students. (a) Discuss a procedure you could follow to obtain a simple random sample of 5 students. (b) Obtain this sample.
(a)List each name on a separate piece of paper; place them all in a hat, and pick five. Number the names from 1 to 744 and use a random number table to produce 5 different three-digit numbers corresponding to the names selected. (b)
As part of a college literature course, students must select three classic works of literature from the provided list and complete critical book reviews for each selected work. 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. Use the portion of the random number table provided below 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? 23230 62299 93482
-Number the books from 1 to 9 and use a random number table to produce 3 different one digit numbers corresponding to the books selected. -List each book on a separate piece of paper, place them all in a hat, and pick three. -Answer: 2, 3, 6 Note: list of books given. 1. Pride and Prejudice 2.The sun also rises 3.A tale of two cities 4.Crime and punishment 5.Huckleberry Finn 6.The Scarlet Letter 7. Death of a Salesman 8.As I lay dying 9.The Jungle
What is a frame?
A frame is a list of the individuals in the population being studied.
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) List all possible two-course selections. (b) Comment on the likelihood that EPR 651 and EPR 668 will be selected
List of courses given: EPR 616 EPR 680 EPR 651 EPR 670 EPR 668 (A) all possible two-course selections. 680, 670 670, 668 616, 668 616, 680 680, 651 680, 668 651, 670 616, 651 616, 670 (B) There is a 1 in 10 chance that these courses will be selected.
What does it mean when sampling is done without replacement?
Once an individual is selected, the individual cannot be selected again.