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Consider the following situation: Suppose that you wanted to research the relati

ID: 3337701 • Letter: C

Question

Consider the following situation: Suppose that you wanted to research the relationship between biological sex and height of individuals who are 20 years or older, living in the United States of America. You hypothesize that there is less of a difference between heights for the two biological sexes than the common wisdom suggests. A. Define all necessary stochastic variables, one per line. If you do not need the line, enter "NA" B. Describe a stochastic process that you would use to generate the data sequence necessary to test your hypothesis.

Explanation / Answer

A)

The stochastic variables are:

1. X: the biological sex of the person

2. Y: the height of the person

3. NA

4. NA

5. NA

Note that the conditions:

1. age should be >= 20 years

2. living in the USA

are constraints on the persons being selected for the study. So, they are not stochastic variables.

B)

The researchers would visit different parts of USA based on a random selection of towns and cities.

The researchers would randomly stop at different parts of the town or city.

The researchers would randomly pick persons either on the road or inside their apartments.

The researchers would note the following data points: age, living in USA or not, biological sex, and height in cm.

The first two datapoints would act as filters: only persons older than 20 years and livig in USA will be included in the table.

This will give the final data required for analysis.