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Chapter 2: Problem 10

As part of a curriculum review, the psychology department would like to select a simple random sample of 20 of last year's 140 graduates to obtain information on how graduates perceived the value of the curriculum. Describe two different methods that might be used to select the sample.

Short Answer

Expert verified
Two methods for obtaining a simple random sample of 20 graduates could be 1) The lottery method, where numbers representing all graduates are randomly drawn from a container. 2) Using computer generated random numbers, where each graduate is assigned a unique number from 1 to 140.

Step by step solution

01

Method 1: Lottery method

In the lottery method, each of the 140 psychology graduates would be assigned a unique number (say 1 to 140). These numbers would be written on equal-sized pieces of paper, placed in a bowl or hat, and mixed thoroughly. One would then randomly draw 20 papers (without looking into the bowl or hat), and the 20 graduates corresponding to the chosen numbers would constitute the sample. This method relies on the principle of 'equal probability of selection', as each graduate has an equal chance (1 out of 140) of being selected.
02

Method 2: Computer generated random numbers

This method uses software for generating random numbers to select the sample. The psychology graduates are again assigned unique numbers from 1 to 140. A list of 20 unique random numbers between 1 and 140 is then generated using the software. The graduates corresponding to these randomly generated numbers would be the ones selected for the sample. It should be ensured that the software is programmed to generate 'random' numbers, to avoid any selection bias.

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