1000 words 4 pages
Business Statistics SCMA 1000 Winter 2015 Section 2
Assignment 1

Due Tuesday February 25, 2015

Sampling exercise
The purpose of this exercise is to convey some basic concepts in regards to sampling while at the same time deriving sampling distributions empirically. Deriving sampling distributions empirically works best when there are a large number of samples. The idea here is that each student in the class will create 20 samples for two populations, using two different sampling procedures, for a total of 80 samples. These samples will be combined into common datasets which will be used in class (and made available to all students in the class.
The four sampling contexts will be: 1. Discrete numerical population, sampling

In other words, the element is replaced once selected.
The sample size will be 5.
You should use the same sampling procedure as above but this time you put each element back in the container before selecting the next. Here, you will have to keep track of the values after each selection.
Record the numbers on the 5 squares (these are called your observed values) in columns D to H of the spreadsheet.
Do this 20 times.
For these 20 rows (samples), ‘DNWITH’ should appear in Column C.
Sampling context 3: Dichotomous population, sampling without replacement
A dichotomous population is one for which the elements can take on only one of two possible values. Usually, and for reasons we will discuss in class, the two values are ‘0’ and ‘1.’
The population

The kinds of samples we are going to generate are called simple random samples but sampling will be done without replacement. Sampling without replacement means that an element is no longer available for selection once it has been selected. In other words, the element is not replaced once selected.
The sample size will be 5.
Cut out 10 cardboard squares measuring 3 cm x 3 cm
For 7 of the squares, give a value of 1; for the remaining three squares give a value of 0.
Place cardboard squares in a container.

Randomly select 5 squares without replacing the squares (You should have 5 squares in front of you.)
Record the numbers on the 5 squares (these are called your

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