Statistics 125 - Module 1 Homework 1.3

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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.


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